Results for "Patrick Lee"

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Decoupled Spin Chains in Ba$_3$CuSb$_2$O$_9$Feb 25 2012Inspired by recent measurements on Ba$_3$CuSb$_2$O$_9$, we explore the interplay of spin and orbital degrees of freedom in a triangular lattice for possible spin liquid-like behaviour. Our effective Hamiltonian describes the magnetic Cu layer by considering ... More
Proposal to measure the pair field correlator of a fluctuating pair density waveNov 17 2018I propose a method to directly measure the space and time dependence of the pair field correlator of a pair density wave. The method is based on two separate ideas. First, we adopt the solenoid insertion method of Kapon et al (2017) to provide the momentum ... More
Orbital Currents in Underdoped CupratesJan 04 2002Orbital currents, either fluctuating or static, have emerged as promising candidates for a description of the pseudogap state in underdoped cuprates. I shall review the evolution of these ideas and describe some experiments which have been proposed to ... More
Amperean pairing and the pseudogap phase of cuprate superconductorsJan 02 2014Apr 18 2014The enigmatic pseudogap phase in underdoped cuprate high T_c superconductors has long been recognized as a central puzzle of the T_c problem. Recent data show that the pseudogap is likely a distinct phase, characterized by a medium range and quasi-static ... More
Pseudogap and Competing States in Underdoped CupratesJul 21 2003I shall argue that the high Tc problem is the problem of doping into a Mott insulator. Furthermore, the well documented pseudo-gap phenomenon in underdoped cuprates holds the key to understanding this physics. Phase fluctuation alone cannot explain this ... More
Strong rules for nonconvex penalties and their implications for efficient algorithms in high-dimensional regressionMar 12 2014We consider approaches for improving the efficiency of algorithms for fitting nonconvex penalized regression models such as SCAD and MCP in high dimensions. In particular, we develop rules for discarding variables during cyclic coordinate descent. This ... More
From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physicsAug 15 2007Sep 13 2007This review gives a rather general discussion of high temperature superconductors as an example of a strongly correlated material. The argument is made that in view of the many examples of unconventional superconductors discovered in the past twenty years, ... More
Orbital currents and cheap vortices in underdoped cupratesOct 04 2002Dec 02 2002In the past several years, we have developed a theory for the underdoped cuprates in collaboration with X.-G. Wen, based on an SU(2) formulation of the t-J model. In this formulation, the staggered flux state plays a central role as the progenitor of ... More
Proposal for Creating a Spin-polarized p_x+ip_y State and Majorana FermionsJul 15 2009Jul 23 2009The spin polarized p_x + ip_y superconductor is known to support Majorana states but so far there has been no example. We propose a simple setup to create such a state by depositing a ferromagnetic metal on a non-centrosymmetric superconductor with strong ... More
Pseudogaps in Underdoped CupratesDec 14 1998It has become clear in the past several years that the cuprates show many unusual properties, both in the normal and superconducting states, especially in the underdoped region. In particular, gap-like behavior is observed in magnetic properties, c-axis ... More
Kondo Effect in High-T_c CupratesFeb 12 1997Feb 25 1997We study the Kondo effect due to the nonmagnetic impurity, e.g., Zn, in high-T_c cuprates based on the spin-change separated state. In the optimal or overdoped case with the Kondo screening, the residual resistivity is dominated by the spinons while the ... More
New Collective Modes in the Superconducting Ground States in the Gauge Theory Description of the CupratesNov 29 2002May 27 2003In the slave boson mean field treatment of the t-J model, the ground state for small doping is a d-wave superconductor. A conventional superconductor has collective modes associated with the amplitude and phase of the pairing order parameter. Here, the ... More
Energy Scales in the Local Magnetic Excitation Spectrum of YBCOOct 16 2001The wave-vector integrated dynamical spin susceptibility chi_{2D}(omega) of YBCO cuprates is considered. chi_{2D} is calculated in the superconducting state from a renormalized mean-field theory of the t-t'-J-model, based on the slave-boson formulation. ... More
Energy Gap Structure in Bilayer Oxide SuperconductorsJan 09 1995Mar 15 1995We consider a model for bilayer superconductors where an interlayer pairing amplitude $\Delta_\perp$ co-exists with intralayer pairing $\Delta_\|$ of $d_{x^2 - y^2}$ symmetry. This model is motivated by a recent photoemission experiment reporting the ... More
A Proposal to Use Neutron Scattering to Measure Scalar Spin Chirality Fluctuations in Kagome LatticesOct 10 2012In the theory of quantum spin liquids, gauge fluctuations are emergent excitations at low energy. The gauge magnetic field is proportional to the scalar spin chirality, S1.(S2xS3). It is therefore highly desirable to measure the fluctuation spectrum of ... More
Formation of proto-cluster: a virialized structure from gravo-turbulent collapse II. A two-dimensional analytical model for rotating and accreting systemMar 25 2016Most stars are born in the gaseous proto-cluster environment. The knowledge of this intermediate stage gives more accurate constraints on star formation characteristics. We demonstrate that a virialized globally supported structure, in which star formation ... More
Comment on "Superconductivity at low density near a ferroelectric quantum critical point: Doped SrTiO3"Jan 30 2019W\"olfle and Balatsky Phys. Rev. B 98, 104505 (2018) have proposed a microscopic pairing mechanism for doped SrTiO$_3$ (STO) based on the ${\textit gradient}$ coupling of electronic density to the soft TO phonon mode. Since this coupling to TO phonons ... More
Observation of emergent photon in Monte Carlo simulation of exciton condensateMar 23 2006Jun 07 2006Using Monte Carlo simulation, we studied fractionalized phases in a model of exciton bose condensate and found evidence for an emergent photon in a finite size system. The fractionalized phase is a meta-stable Coulomb phase where an emergent photon arises ... More
Transport phenomenology for a holon-spinon fluidOct 08 1996We propose that the normal-state transport in the cuprate superconductors can be understood in terms of a two-fluid model of spinons and holons. In our scenario, the resistivity is determined by the properties of the holons while magnetotransport involves ... More
Non Magnetic Impurities in the Spin-Gap Phase of the CuprateNov 23 1998It is now well established that Zn doping of high-$T_C$ cuprates reduces their $T_C$ and triggers the appearence of a spin glass phase. In this context, we have solved exactly the problem of N non magnetic impurities in the staggered flux phase of the ... More
Spin susceptibility and the pi-excitation in underdoped cupratesOct 08 1997The dynamical spin susceptibility chi'' at wave vector (pi, pi) and the spectrum pi'' of the spin-triplet particle--particle excitation with center of mass momentum (pi, pi) (pi-excitation) are considered in the slave-boson formulation of the t--J-model. ... More
Confinement and Bose Condensation in Gauge Theory of High-Tc SuperconductorsJul 01 1999The issue of confinement and bose condensation is studied for gauge models of high-Tc superconductors. First the Abelian-Higgs model in (2+1)D, i.e., XY-model coupled to lattice gauge field $a_{\mu}$ with coupling $g$, is studied taking into account both ... More
Exact Density of States in a System of Disordered Two Dimensional Dirac Fermions in the Unitarity Limit: The d-wave SuperconductorNov 23 1998Feb 16 1999In this paper we present a method to compute the exact density of states induced by $N$ non magnetic impurities in a system of two dimensional Dirac fermions in the unitarity limit. We review the case of the $\pi$-flux phase of the Heisenberg model and ... More
Emergent honeycomb lattice in LiZn2Mo3O8Aug 12 2013We introduce the idea of emergent lattices, where a simple lattice decouples into two weakly-coupled lattices as a way to stabilize spin liquids. In LiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperatures suggests that its triangular ... More
Emergent U(1) gauge theory with fractionalized boson/fermion from the bose condensation of exciton in multi-band insulatorJul 07 2005Aug 08 2005Fractionalized phases are studied in a low energy theory of exciton bose condensate in a multi-band insulator. It is shown that U(1) gauge theory with either fractionalized boson or fermion can emerge out of a single model depending on the coupling constants. ... More
U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3Feb 04 2005Feb 10 2005We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices at half filling. ... More
Spinon Phonon Interaction and Ultrasonic Attenuation in Quantum Spin LiquidsNov 24 2010Several experimental candidates for quantum spin liquids have been discovered in the past few years which appear to support gapless fermionic $S = {1\over 2}$ excitations called spinons. The spinons may form a Fermi sea coupled to a $U(1)$ gauge field, ... More
Optical Conductivity From Pair Density WavesAug 03 2016We present a theory of optical conductivity in systems with finite-momentum Cooper pairs. In contrast to the BCS pairing where AC conductivity is purely imaginary in the clean limit, there is nonzero AC absorption across the superconducting gap for finite-momentum ... More
Superconductivity at very low density: the case of strontium titanateMay 05 2016Jun 07 2016Doped strontium titanate becomes superconducting at a density as low as n = 5 x 10^17 cm^-3, where the Fermi energy is orders of magnitude smaller than the longitudinal-optical-phonon frequencies. In this limit the only optical mode with a frequency which ... More
Why are Orbital Currents Central to High Tc Theory?Sep 25 2002Oct 07 2002We explain qualitatively why the staggered flux state plays a central role in the SU(2) formulation of the t-J model, which we use to model the pseudogap state in underdoped cuprates. This point of view is supported by studies of projected wavefunctions. ... More
Density of States of a d-wave Superconductor in the Presence of Strong Impurity Scatterers: a Non Perturbative ResultFeb 15 2000Jun 08 2000We present a method to compute the density of states induced by N non magnetic impurities in a d-wave superconductor, in the unitary limit of very strong scatering centers. For frequencies very small as compared to the superconducting gap ($\omega \ll ... More
Formation of proto-cluster: a virialized structure from gravo-turbulent collapse I. Simulation of cluster formation in collapsing molecular cloudMar 25 2016Stars are often observed to form in clusters. It is therefore important to understand how such a region of concentrated mass is assembled out of the diffuse medium and its properties eventually prescribe the important physical mechanisms and determine ... More
Stellar mass spectrum within massive collapsing clumps II. Thermodynamics and tidal forces of the first Larson coreNov 01 2017Nov 03 2017We investigate the dependence of the peak of the IMF on the physics of the so-called first Larson core, which corresponds to the point where the dust becomes opaque to its own radiation. We perform numerical simulations of collapsing clouds of $1000 M_\odot$ ... More
Stellar mass spectrum within massive collapsing clumps III. Effects of temperature and magnetic fieldDec 13 2018The stellar mass spectrum is an important property of the stellar cluster and a fundamental quantity to understand our Universe. The fragmentation of diffuse molecular cloud into stars is subject to physical processes such as gravity, turbulence, thermal ... More
Cuprates as doped U(1) spin liquidsJun 02 2004We explore theoretically the notion that the underdoped cuprates may be viewed as doped U(1) spin liquid Mott insulators. We pursue a conceptually clear version of this idea that naturally incorporates several aspects of the phenomenology of the cuprates. ... More
Lightly doped dimerized spin chain in the one-dimensional t-J-J' modelSep 11 2003Apr 09 2004We study the one-dimensional t-J-J'-model in the limit of small hole doping $x$ and small $J/t$, $J'/t$. Special emphasis is put on the regime $J'/J \approx .5$ where a spin gap is present at small doping and the undoped spin chain is strongly dimerized. ... More
Renormalized mean-field theory of the neutron scattering in cuprate superconductorsJul 06 2001The magnetic excitation spectrum of the t-t'-J-model is studied in mean-field theory and compared to inelastic neutron-scattering (INS) experiments on YBCO and BSCCO superconductors. Within the slave-particle formulation the dynamical spin response is ... More
Order from Disorder: Non Magnetic Impurities in the Spin-gap Phase of the CupratesFeb 25 1998Jul 06 1998We solve the problem of $N$ non magnetic impurities in the staggered flux phase of the Heisenberg model which we assume to be a good mean-field approximation for the spin-gap phase of the cuprates. The density of states is evaluated exactly in the unitary ... More
Staggered flux vortices and the superconducting transition in the layered cupratesSep 19 2003We propose an effective model for the superconducting transition in the high-T_c cuprates motivated by the SU(2) gauge theory approach. In addition to variations of the superconducting phase we allow for local admixture of staggered flux order. This leads ... More
Slave Boson Approach to The Neutron Scattering in YBCO SuperconductorsNov 03 1998Apr 06 1999The evolution of the so-called `41meV resonance' in the magnetic response of YBCO cuprates is studied with slave-boson theory for the t-t'-J-model. The resonance appears as a collective spin fluctuation in the d-wave superconducting (SC) state. It is ... More
Stellar mass spectrum within massive collapsing clumps I. Influence of the initial conditionsNov 01 2017We conduct numerical experiments in which we systematically vary the initial density over four orders of magnitude and the turbulent velocity over a factor ten. In a companion paper, we investigate the dependence of this distribution on the gas thermodynamics. ... More
Observation of two distinct pairs fluctuation lifetimes and supercurrents in the pseudogap regime of cuprate junctionsSep 06 2016Pairs fluctuation supercurrents and inverse lifetimes were measured on epitaxial c-axis junctions of the cuprates in the pseudogap regime, with a $PrBa_2Cu_3O_{7-\delta}$ barrier sandwiched in between two $YBa_2Cu_3O_{7-\delta}$ or doped $YBa_2Cu_3O_y$ ... More
Quantum critical point in the Kondo-Heisenberg model on the honeycomb latticeOct 10 2006May 01 2007We study the Kondo--Heisenberg model on the honeycomb lattice at half-filling. Due to the vanishing of the density of states at the fermi level, the Kondo insulator disappears at a finite Kondo coupling even in the absence of the Heisenberg exchange. ... More
Staggered flux fluctuations and the quasiparticle scattering rate in the SU(2) gauge theory of the t-J modelDec 04 2002Dec 05 2002We study staggered flux fluctuations around the superconducting state of the SU(2) meanfield theory for the two-dimensional t-J-model and their effect on the electron spectral function. The quasiparticle peaks near the saddlepoints get strongly broadened ... More
Spinon-Phonon Interaction in Algebraic Spin LiquidsMar 04 2013Motivated by a search for experimental probes to access the physics of fractionalized excitations called spinons in a spin liquids, we study the interaction of spinons with lattice vibrations. We consider the case of algebraic spin liquid, when spinons ... More
Isotope effect on the superfluid density in conventional and high-temperature superconductorsSep 13 2010We investigate the isotope effect on the London penetration depth of a superconductor which measures $n_S/m^*$, the ratio of superfluid density to effective mass. We use a simplified model of electrons weakly coupled to a single phonon frequency $\omega_E$, ... More
Doped dimerized spin chains: Another path to superconductivityDec 09 2002Jun 11 2003This paper has been withdrawn by the authors, since we have come to believe that the present approach is not convergent at small doping. We will shortly submit an improved theory of the tJJ' model at small J/t in the dilute hole limit. This will be a ... More
Local Moment Formation in the Superconducting State of a Doped Mott InsulatorMay 15 2002Sep 20 2002A microscopic theory is presented for the local moment formation near a non-magnetic impurity or a copper defect in high-T_c superconductors. We use a renormalized meanfield theory of the t-J model for a doped Mott insulator and study the fully self-consistent, ... More
Bounding the graviton mass with binary pulsar observationsDec 10 2001By comparing the observed orbital decay of the binary pulsars PSRB1913+16 and PSRB1534+12 to that predicted by general relativity due to gravitational-wave emission, we are able to bound the mass of the graviton to be less than $7.6\times10^{-20} \text{eV}/c^2$ ... More
Scaling of the quasiparticle spectrum for d-wave superconductorsNov 19 1996In finite magnetic field H, the excitation spectrum of the low energy quasiparticles in a 2 dimensional d-wave superconductor exhibits a scaling with respect to $H^{1/2}$. This property can be used to calculate scaling relations for various physical quantities ... More
Spin-gap formation in cuprates: gauge theoryDec 22 1993We analyze the phase diagram of single and bi-layer cuprates using the gauge-field description of the t-J model. For $T>T_{\text{BE}}$ the in-plane fermion-pairing order parameter $\Delta_{\scriptscriptstyle\parallel}$ is eliminated by gauge field fluctuations, ... More
Edge-Ferromagnetism from Majorana Flat-Bands: Application to Split Tunneling-Conductance Peaks in the High-Tc CupratesMar 27 2013In mean-field descriptions of nodal d-wave superconductors, generic edges exhibit dispersionless Majorana fermion bands at zero-energy. These states give rise to an extensive ground-state degeneracy, and are protected by time-reversal (TR) symmetry. We ... More
Magnetism and Mott Transition: A Slave-rotor StudyJan 27 2011Apr 05 2011Motivated by the debate of spin-density-wave (SDW) versus local-moment (LM) picture in the iron-based superconducting (FeSC) materials, we consider a two-band orbital-symmetric Hubbard model in which there is robust Fermi surface nesting at $(\pi,0)$. ... More
Static Electric Field in a 1D Systems without BoundariesMay 25 2011In this brief report, we show that in a 1D system with unit-cell doubling, the coefficient of the $\theta$-term is not only determined the topological index, $\int i\bra{u_k}\frac{\d}{\d k}\ket{u_k}{\rm d}k$. Specifically, the relative position between ... More
Numerical Studies of Quantum Oscillations in the Superconducting vortex mixed stateDec 17 2008We studied the quantum oscillations in superconducting vortex mixed states with d-wave pairing. We showed that the Onsager relation does not always apply. Furthermore, at mean field level the quantum oscillations from electron pockets are suppressed by ... More
Study of the triangular lattice tV model near x=1/3Jan 11 2004We study extended Hubbard model on a triangular lattice near doping $x=1/3$, which may be relevant for the recently discovered superconductor Na$_x$CoO$_2 \cdot y$H$_2$O. By generalizing this model to $N$ fermionic species, we formulate a meanfield description ... More
Reply to Comment on ``Scaling of the quasiparticle spectrum for d-wave superconductors''May 06 1997Volovik and Kopnin make two seperate points regarding our recent paper (S. H. Simon and P. A. Lee, PRL 78, 1548 (1997); cond-mat/9611133). First they note that the scaling regime we address in our paper is limited by the curvature of the Fermi surface, ... More
Theory of Underdoped CupratesJun 15 1995Jun 15 1995We develop a slave-boson theory for the t-J model at finite doping which respects an SU(2) symmetry -- a symmetry previously known to be important at half filling. The mean field phase diagram is found to be consistent with the phases observed in the ... More
Erratum: Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials [Phys. Rev. B 83, 184520 (2011)]Aug 10 2011In this erratum, we revisit the issue of bulk-disorder on proposals to realize an effective p+ip superconductor from spin-orbit coupled materials. Contrary to the claim in [Phys. Rev. B 83, 184520 (2011)], we show that the pair breaking effects of bulk-disorder ... More
Robustness of Majorana Fermion induced Fractional Josephson EffectMar 25 2011It is shown in previous works that the coupling between two Majorana end states in superconducting quantum wires leads to fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied and the Majorana ... More
Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit CouplingNov 29 2010A recent work [1] demonstrated, for an ideal spinless p+ip superconductor, that Majorana end-states can be realized outside the strict one-dimensional limit, so long as: 1) the sample width does not greatly exceed the superconducting coherence length ... More
Edge-currents in superconductors with a broken time-reversal symmetryJan 07 2005Jul 05 2005We analyze edge currents and edge bands at the surface of a time-reversal symmetry breaking d_{x^2-y^2}+id_{xy} superconductor. We show that the currents have large Friedel oscillations with two interfering frequencies: \sqrt{2}k_F from sub-gap states, ... More
Anomalous Spin Excitation Spectrum of the Heisenberg Model in a Magnetic FieldOct 07 2001Mar 04 2002Making the assumption that high energy fermions exist in the two dimensional spin-1/2 Heisenberg antiferromagnet we present predictions based on the pi-flux ansatz for the dynamic structure factor when the antiferromagnet is subject to a uniform magnetic ... More
Vortex Structure in Underdoped CupratesAug 29 2000In underdoped cuprates the normal state is highly anomalous and is characterized as a pseudogap phase. The question of how to describe the ``normal'' core of a superconducting vortex is an outstanding open problem. We show that the SU(2) formulation of ... More
Exotic S=1 spin liquid state with fermionic excitations on triangular latticeAug 15 2011Aug 22 2011Motivated by recent experiments on the material Ba_3NiSb_2O_9 we consider a spin-one quantum antiferromagnet on a triangular lattice with the Heisenberg bilinear and biquadratic exchange interactions and a single-ion anisotropy. Using a fermionic "triplon" ... More
STAIR Codes: A General Family of Erasure Codes for Tolerating Device and Sector FailuresJun 20 2014Jun 23 2014Practical storage systems often adopt erasure codes to tolerate device failures and sector failures, both of which are prevalent in the field. However, traditional erasure codes employ device-level redundancy to protect against sector failures, and hence ... More
Bounding the mass of the graviton using binary pulsar observationsSep 13 2001May 14 2002The close agreement between the predictions of dynamical general relativity for the radiated power of a compact binary system and the observed orbital decay of the binary pulsars PSR B1913+16 and PSR B1534+12 allows us to bound the graviton mass to be ... More
Topological Superconductivity and Majorana Fermions in Metallic Surface-StatesJan 10 2012Heavy metals, such as Au, Ag, and Pb, often have sharp surface states that are split by strong Rashba spin-orbit coupling. The strong spin-orbit coupling and two-dimensional nature of these surface states make them ideal platforms for realizing topological ... More
The Unusual Superconducting State of Underdoped CupratesFeb 12 1997There is increasing experimental evidence that the superconducting energy gap $\Delta_0$ in the underdoped cuprates is independent of doping concentration $x$ while the superfluid density is linear in $x$. We show that under these conditions, thermal ... More
Staggered-flux normal state in the weakly doped t-J modelMay 07 2003A normal (non-superconducting) ground state of the t-J model may be variationally approximated by a Gutzwiller-projected wave function. Within this approximation, at small hole doping near half-filling, the normal state favors staggered-flux ordering. ... More
Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic InsulatorAug 31 2011Nov 15 2011In this paper, we propose a unified formalism, using Green's functions, to integrate out the electrons in an insulator under uniform electromagnetic fields. We derive a perturbative formula for the Green's function in the presence of uniform magnetic ... More
Topological Insulator and the $θ$-vacuum in a system without boundariesDec 09 2010Dec 10 2010In this paper we address two questions concerning the effective action of a topological insulator in one and three dimensional space without boundaries, such as a torus. The first is whether a uniform $\theta$-term with $\theta=\pi$ is generated for a ... More
Transport Properties of a spinon Fermi surface coupled to a U(1) gauge fieldAug 14 2007With the organic compound $\kappa$-(BEDT-TTF)$_2$-Cu$_2$(CN)$_3$ in mind, we consider a spin liquid system where a spinon Fermi surface is coupled to a U(1) gauge field. Using the non-equilibrium Green's function formalism, we derive the Quantum Boltzmann ... More
Analytical core mass function (CMF) from filaments: Under which circumstances can filament fragmentation reproduce the CMF?Sep 05 2017Observations suggest that star formation in filamentary molecular clouds occurs in a two-step process, with the formation of filaments preceding that of prestellar cores and stars. Here, we apply the gravo-turbulent fragmentation theory of Hennebelle ... More
Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin FilmsJul 26 2010Nov 29 2010The ends of one-dimensional p+ip superconductors have long been predicted to possess localized Majorana fermion modes. We show that Majorana end states survive beyond the strict 1D single-channel limit so long as the sample width does not exceed the superconducting ... More
Theory of Thermal Hall Effect in Quantum MagnetsApr 22 2009Jul 28 2010We present a theory of the thermal Hall effect in insulating quantum magnets, where the heat current is totally carried by charge-neutral objects such as magnons and spinons. Two distinct types of thermal Hall responses are identified. For ordered magnets, ... More
Spin-triplet p-wave pairing in a 3-orbital model for iron pnictide superconductorsApr 10 2008Sep 26 2008We examine the possibility that the superconductivity in the newly discovered FeAs materials may be caused by the Coulomb interaction between d-electrons of the iron atoms. We find that when the Hund's rule ferromagnetic interaction is strong enough, ... More
Power-law Conductivity inside the Mott gap: application to $κ-(BEDT-TTF)_2Cu_2(CN)_3$Jun 01 2007The charge dynamics of spin-liquid states described by U(1) gauge theory coupling to fermionic spinons is discussed in this paper. We find that the gapless spinons give rise to a power law optical conductivity inside the charge gap. The theory is applied ... More
Theory of spin excitations in undoped and underdoped cupratesOct 12 1998Mar 24 1999We consider the magnetic properties of high Tc cuprates from a gauge theory point of view, with emphasis on the underdoped regime. Underdoped cuprates possess certain antiferromagnetic correlations, as evidenced, for example, by different temperature ... More
Theory of Quasi-Particles in the Underdoped High Tc Superconducting StateSep 09 1997Dec 13 1997The microscopic theory of superconducting (SC) state in the SU(2) slave-boson model is developed. We show how the pseudogap and Fermi surface (FS) segments in the normal state develop into a d-wave gap in the superconducting state. Even though the superfluid ... More
Bipolaronic charge excitations in t-J two-leg laddersAug 20 1997We present a low-energy effective model for the charge degrees of freedom in two-leg t-J ladders. Starting from SU(2) mean-field theory, we exclude the spin degrees of freedom which have an energy gap. At low temperatures, the mean-field solution is the ... More
Specific heat and validity of quasiparticle approximation in the half-filled Landau levelFeb 27 1996We calculate the specific heat of composite fermion system in the half-filled Landau level. Two different methods are used to examine validity of the quasiparticle approximation when the two-body interaction is given by $V(q) = V_0 / q^{2-\eta}$ ($1 \le ... More
A Proposal to Measure the Quasiparticle Poisoning Time of Majorana Bound StatesDec 31 2013We propose a method of measuring the fermion parity lifetime of Majorana fermion modes due to quasiparticle poisoning. We model quasiparticle poisoning by coupling the Majorana modes to electron reservoirs, explicitly breaking parity conservation in the ... More
RevDedup: A Reverse Deduplication Storage System Optimized for Reads to Latest BackupsFeb 04 2013Jun 27 2013Scaling up the backup storage for an ever-increasing volume of virtual machine (VM) images is a critical issue in virtualization environments. While deduplication is known to effectively eliminate duplicates for VM image storage, it also introduces fragmentation ... More
When does Magnetization Depend on the Boundary?Jun 27 2012In this paper, we investigate in general how thermodynamic quantities such as the polarization, magnetization and the magneto-electric tensor are affected by the boundaries. We show that when the calculation with periodic boundary conditions does not ... More
Effect of Hund coupling in the one-dimensional SU(4) Hubbard modelSep 30 2003The one-dimensional SU(4) Hubbard model perturbed by Hund coupling is studied, away from half-filling, by means of renormalization group and bosonization methods. A spectral gap is always present in the spin-orbital sector irrespective of the magnitude ... More
Proposal for detecting spin-chirality terms in Mott insulators via resonant inelastic x-ray scatteringJun 15 2011Sep 12 2011We consider the question of whether resonant inelastic x-ray scattering (RIXS) can be used to detect many-body excitations that are coupled to the spin-chirality terms S_i . (S_j x S_k) in a Mott insulator. We find that while the spin-chirality terms ... More
Microwave Conductivity due to Scattering from Extended Linear Defects in d-Wave SuperconductorsSep 05 2001Recent microwave conductivity measurements of detwinned, high-purity, slightly overdoped YBa$_{2}$Cu$_{3}$O$_{6.993}$ crystals reveal a linear temperature dependence and a near-Drude lineshape for temperatures between 1 and 20 K and frequencies ranging ... More
Overscreened Kondo fixed point in S=1 spin liquidDec 20 2012We propose a possible realization of the overscreened Kondo impurity problem by a magnetic s=1/2 impurity embedded in a two-dimensional S=1 U(1) spin liquid with a Fermi surface. This problem contains an interesting interplay between non-Fermi-liquid ... More
Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled MaterialsMar 10 2011Apr 17 2011We compare topological insulator materials and Rashba coupled surfaces as candidates for engineering p+ip superconductivity. Specifically, in each type of material we examine 1) the limitations to inducing superconductivity by proximity to an ordinary ... More
Kondo Vortices, Zero Modes, and Magnetic Ordering in a Kondo Lattice ModelMar 25 2009Motivated by the mysteries of the heavy fermion quantum critical point, we investigate the competition between Kondo screening and magnetic ordering in the honeycomb Kondo lattice at half filling. We examine the destruction of the Kondo phase by proliferating ... More
Possible effects of charge frustration in Na$_x$CoO$_2$: bandwidth suppression, charge orders and resurrected RVB superconductivityOct 16 2003Charge frustration due to further neighbor Coulomb repulsion can have dramatic effects on the electronic properties of Na$_x$CoO$_2$ in the full doping range. It can significantly reduce the effective mobility of the charge carriers, leading to a low ... More
Staggered-spin contribution to nuclear spin-lattice relaxation in two-leg antiferromagnetic spin-1/2 laddersJul 13 1998We study the nuclear spin-lattice relaxation rate $1/T_1$ in the two-leg antiferromagnetic spin-1/2 Heisenberg ladder. More specifically, we consider the contribution to $1/T_1$ from the processes with momentum transfer $(\pi,\pi)$. In the limit of weak ... More
Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $κ-(BEDT-TTF)_2 Cu_2 (CN)_3$Jul 01 2006Recent experiments on the organic compound $\kappa-(BEDT-TTF)_2 Cu_2 (CN)_3$ raise the possibility that the system may be described as a quantum spin liquid. Here we propose a pairing state caused by the `Amperean' attractive interaction between spinons ... More
Susceptibility of a spinon Fermi surface coupled to a U(1) gauge fieldNov 08 2006We study the theory of a U(1) gauge field coupled to a spinon Fermi surface. Recently this model has been proposed as a possible description of the organic compound $\kappa-(BEDT-TTF)_2 Cu_2 (CN)_3$. We calculate the susceptibility of this system and ... More
Vortex description of the fractionalized phase in exciton bose condensateSep 14 2005Apr 10 2006As a sequel to the previous work [Phys. Rev. B 72, 235104 (2005)] we present a vortex description of the fractionalized phase in exciton bose condensate. Magnetic flux line and monopole of the 3+1D emergent U(1) gauge theory are identified in the exciton ... More
Bosons, gauge fields, and high-Tc cupratesJul 21 1996A simple model of a degenerate two-dimensional Bose liquid interacting with a fluctuating gauge field is investigated as a possible candidate to describe the charge degree of freedom in the normal state of the cuprate superconductors. We show that the ... More
Degenerate Bose liquid in a fluctuating gauge fieldJan 02 1996We study the effect of a strongly fluctuating gauge field on a degenerate Bose liquid, relevant to the charge degrees of freedom in doped Mott insulators. We find that the superfluidity is destroyed. The resulting metallic phase is studied using quantum ... More
Thermal Hall Effect of Spins in a ParamagnetOct 14 2014Feb 25 2015Theory of Hall transport of spins in a correlated paramagnetic phase is developed. By identifying the thermal Hall current operator in the spin language, which turns out to equal the spin chirality in the pure Heisenberg model, various response functions ... More
Doped t-J Model on a Triangular Lattice: Possible Application to Na$_x$CoO$_2\cdot y$H$_2$0 and Na$_{1-x}$TiO$_2$Apr 16 2003Dec 23 2003We report the finding of time-reversal-symmetry-breaking $d_{x^2-y^2}+ id_{xy}$ superconducting ground state in the slave-boson mean-field theory for the t-J model on triangular lattice. For $t/J=-5$ ($t/J=-9$) pairing exists for $x < 13%$ ($x<8%$) upon ... More