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Spectral distances on graphsFeb 25 2014Mar 31 2015By assigning a probability measure via the spectrum of the normalized Laplacian to each graph and using L^p Wasserstein distances between probability measures, we define the corresponding spectral distances d_p on the set of all graphs. This approach ... More

Liouville theorems for $f$-harmonic maps into Hadamard spacesMay 02 2013Jun 05 2013In this paper, we study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove Liouville theorems for these harmonic maps with finite energy.

Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvatureJul 14 2011May 01 2013In the present paper, we apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature in the sense of Higuchi. We obtain the metric classification of these graphs and construct ... More

Bakry-Emery curvature and diameter bounds on graphsAug 28 2016Nov 18 2016We prove diameter bounds for graphs having positive Ricci-curvature bound in Bakry-Emery sense. One result using only curvature and maximal vertex degree is sharp in case of hypercubes. The other result depends on an additional dimension bound, but is ... More

Spatial modulation of a unitary impurity-induced resonances in superconducting CeCoIn$_{5}$Oct 01 2015Feb 18 2016Motivated by recent experimental progress in high-resolution scanning tunneling microscopy (STM) techniques, we propose to investigate the local quasiparticle density of states around a unitary impurity in the heavy fermion superconductor CeCoIn$_{5}$. ... More

An optimal dimension-free upper bound for eigenvalue ratiosMay 09 2014Dec 22 2014On a closed weighted Riemannian manifold with nonnegative Bakry-\'{E}mery Ricci curvature, it is shown that the ratio of the $k$-th to first eigenvalues of the weighted Laplacian is dominated by $641k^2$, using an argument via the Cheeger constant. While ... More

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifoldsAug 05 2016In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential. These results relate eigenvalues, magnetic fields, Ricci curvature, and ... More

Another characterization of tilted algebrasSep 06 2014We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander-Reiten quiver. This result includes the existent characterizations of this kind and yields a way to obtain more tilted quotient algebras ... More

Fermi surface topology and impurity-induced resonance state in BiS$_{2}$-based superconductorsAug 19 2013Aug 07 2014Within the two-orbital model for BiS$_{2}$-based superconductors, the effect from a single nonmagnetic impurity scattering on the superconducting-state is investigated in terms of the T-matrix approach. By considering three kinds of the typical Fermi ... More

Eigenvalue ratios of nonnegatively curved graphsJun 25 2014We prove an optimal eigenvalue ratio estimate for finite weighted graphs satisfying the curvature-dimension inequality $CD(0,\infty)$. This estimate is independent of the size of the graph and provides a general method to obtain higher-order spectral ... More

Ricci-flat cubic graphs with girth fiveFeb 08 2018We classify all connected, simple, 3-regular graphs with girth at least 5 that are Ricci-flat. We use the definition of Ricci curvature on graphs given in Lin-Lu-Yau, Tohoku Math., 2011, which is a variation of Ollivier, J. Funct. Anal., 2009. A graph ... More

Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphsMar 21 2011Oct 30 2013In this paper, we explore the relationship between one of the most elementary and important properties of graphs, the presence and relative frequency of triangles, and a combinatorial notion of Ricci curvature. We employ a definition of generalized Ricci ... More

Cluster categories of type $\mathbb{A}_\infty^\infty$ and triangulations of the infinite stripMay 22 2015We first study the (canonical) orbit category of the bounded derived category of finite dimensional representations of a quiver with no infinite path, and we pay more attention on the case where the quiver is of infinite Dynkin type. In particular, its ... More

Standard components of a Krull-Schmidt categoryAug 24 2012We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations of a strongly locally finite quiver and its bounded derived category, ... More

The bounded derived categories of an algebra with radical squared zeroOct 19 2016Let $\La$ be an elementary locally bounded linear category over a field with radical squared zero. We shall show that the bounded derived category $D^b(\ModbLa)$ of finitely supported left $\La$-modules admits a Galois covering which is the bounded derived ... More

Modified Kedem-Katchalsky equations for osmosis through nano-poreMar 31 2014Apr 30 2016This work presents a modified Kedem-Katchalsky equations for osmosis through nano-pore. osmotic reflection coefficient of a solute was found to be chiefly affected by the entrance of the pore while filtration reflection coefficient can be affected by ... More

Cheeger constants, structural balance, and spectral clustering analysis for signed graphsNov 13 2014Mar 27 2015We introduce a family of multi-way Cheeger-type constants $\{h_k^{\sigma}, k=1,2,\ldots, N\}$ on a signed graph $\Gamma=(G,\sigma)$ such that $h_k^{\sigma}=0$ if and only if $\Gamma$ has $k$ balanced connected components. These constants are switching ... More

Theory of Photoemission from the Copper Oxide MaterialAug 22 1997A mean-field theory which satisfying the electron on-site local constraint in the relevant regime of density for the high temperature superconductors is developed. Within this approach, the electron spectral function, the electron dispersion, and the ... More

Bakry-Emery curvature and diameter bounds on graphsAug 28 2016We prove diameter bounds for graphs having positive Ricci-curvature bound in Bakry-Emery sense. One result using only curvature and maximal vertex degree is sharp in case of hypercubes. The other result depends on an additional dimension bound, but is ... More

Curvature and higher order Buser inequalities for the graph connection LaplacianDec 26 2015We study the eigenvalues of the connection Laplacian on a graph with an orthogonal group or unitary group signature. We establish higher order Buser type inequalities, i.e., we provide upper bounds for eigenvalues in terms of Cheeger constants in the ... More

Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operatorMay 19 2011Jul 02 2013We prove the following estimate for the spectrum of the normalized Laplace operator $\Delta$ on a finite graph $G$, \begin{equation*}1- (1- k[t])^{\frac{1}{t}}\leq \lambda_1 \leq \cdots \leq \lambda_{N-1}\leq 1+ (1- k[t])^{\frac{1}{t}}, \,\forall \,\,\text{integers}\,\, ... More

A proof of the strong no loop conjectureMar 28 2011The strong no loop conjecture states that a simple module of finite projective dimension over an artin algebra has no non-zero self-extension. The main result of this paper establishes this well known conjecture for finite dimensional algebras over an ... More

Signatures, lifts, and eigenvalues of graphsDec 21 2014We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite tower of $3$-cyclic lifts, each of which is again Ramanujan.

Almost split sequences and approximationsMar 19 2012Let A be an exact category, that is, an extension-closed full subcategory of an abelian category. Firstly, we give some necessary and sufficient conditions for A to have almost split sequences. Then, we study when an almost split sequence in A induces ... More

Extinction of quasiparticle scattering interference in cuprate superconductorsJan 19 2010May 26 2010The quasiparticle scattering interference phenomenon characterized by the peaks in the local density of states is studied within the kinetic energy driven superconducting mechanism in the presence of a single impurity. By calculation of the Fourier transformed ... More

Superconductivity in Na$_{x}$CoO$_{2}\cdot y$H$_{2}$O driven by the kinetic energyMay 10 2005Within the charge-spin separation fermion-spin theory, the mechanism of superconductivity in Na$_{x}$CoO$_{2}\cdot y$H$_{2}$O is studied. It is shown that dressed fermions interact occurring directly through the kinetic energy by exchanging magnetic excitations. ... More

Thermodynamical properties of a trapped interacting Bose gasJan 11 2012The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field potential. The eigenvalue ... More

Representation Theory of an Infinite QuiverSep 14 2011This paper deals with the representation theory of a locally finite quiver in which the number of paths between any two given vertices is finite. We first study some properties of the finitely presented or co-presented representations, and then construct ... More

Bakry-Émery curvature functions of graphsJun 05 2016We study the Bakry-\'Emery curvature function $\mathcal{K}_{G,x}:(0,\infty]\to \mathbb{R}$ of a vertex $x$ in a locally finite graph $G$ systematically. Here $\mathcal{K}_{G,x}(\mathcal{N})$ is defined as the optimal curvature lower bound $\mathcal{K}$ ... More

Maxwell's demon and information channel width of a black holeMar 02 2016Apr 17 2016Using a new generalized second law of thermodynamics, the information and entropy of a black hole and its accretion disk are analyzed respectively. We find the bound of the information channel width of a black hole, which is determined by the variation ... More

High-Order Harmonic Generation and Molecular Orbital Tomography: Characteristics of Molecular Recollision Electronic Wave PacketsMar 03 2008We investigate the orientation dependence of molecular high-order harmonic generation (HHG) both numerically and analytically. We show that the molecular recollision electronic wave packets (REWPs) in the HHG are closely related to the ionization potential ... More

Carnot's theorem and Szilárd engineNov 15 2016In this work, the relationship between Carnot engine and Szil\'ard engine was discussed. By defining the available information about the temperature difference between two heat reservoirs, the Carnot engine was found to have a same physical essence with ... More

Heat transport of electron-doped CobaltatesJan 15 2006Jul 03 2006Within the t-J model, the heat transport of electron-doped cobaltates is studied based on the fermion-spin theory. It is shown that the temperature dependent thermal conductivity is characterized by the low temperature peak located at a finite temperature. ... More

Kinetic energy driven superconductivity in the electron doped cobaltate Na$_{x}$CoO$_{2}\cdot y$H$_{2}$OMay 08 2004Jun 07 2005Within the charge-spin separation fermion-spin theory, we have shown that the mechanism of superconductivity in the electron doped cobaltate Na$_{x}$CoO$_{2}\cdot y$H$_{2}$O is ascribed to its kinetic energy. The dressed fermions interact occurring directly ... More

Frustration index and Cheeger inequalities for discrete and continuous magnetic LaplaciansFeb 23 2015Aug 14 2015We discuss a Cheeger constant as a mixture of the frustration index and the expansion rate, and prove the related Cheeger inequalities and higher order Cheeger inequalities for graph Laplacians with cyclic signatures, discrete magnetic Laplacians on finite ... More

Spectral classes of regular, random, and empirical graphsJun 25 2014We define a (pseudo-)distance between graphs based on the spectrum of the normalized Laplacian, which is easy to compute or to estimate numerically. It can therefore serve as a rough classification of large empirical graphs into families that share the ... More

Charge transport of electron doped Mott insulators on a triangular latticeNov 25 2003Jun 23 2004The charge transport of electron doped Mott insulators on a triangular lattice is investigated within the t-J model based on the partial charge-spin separation fermion-spin theory. The conductivity spectrum shows a low-energy peak and the unusual midinfrared ... More

Stable knots in the trapped Bose-Einstein condensatesJun 27 2014The knot of spin texture is studied within the two-component Bose-Einstein condensates which are described by the nonlinear Gross-Pitaevskii equations. We start from the non-interacting equations including an axisymmetric harmonic trap to obtain an exact ... More

Estimation of the Doping Dependence of Antiferromagnetism in the Copper Oxide MaterialAug 22 1997Within the $t$-$J$ model, we study the doping dependence of antiferromagnetism in the copper oxide materials by considering quantum fluctuations of spinons in the random-phase-approximation. The staggered magnetization vanishes around doping $\delta=5%$ ... More

Coexistence of the Electron Cooper Pair and Antiferromagnetic Short-Range Correlation in Copper Oxide MaterialsSep 05 1998Nov 07 2003Within the fermion-spin theory, the physical properties of the electron pairing state in the copper oxide materials are discussed. According to the common form of the electron Cooper pair, it is shown that there is a coexistence of the electron Cooper ... More

Aquaporin-1 can work as a Maxwell's Demon in the BodyNov 23 2015May 06 2016Aquaporin-1 (AQP1) is a membrane protein which is selectively permeable to water. Due to its dumbbell shape, AQP1 can sense the size information of solute molecules in osmosis. At the cost of consuming this information, AQP1 can move water against its ... More

Optimal Transport in Worldwide Metro NetworksMar 31 2014Apr 14 2014Metro networks serve as good examples of traffic systems for understanding the relations between geometric structures and transport properties.We study and compare 28 world major metro networks in terms of the Wasserstein distance, the key metric for ... More

EPR Paradox and Magician's PropsJul 23 2014Local realism has been knocked down by the experiments with entangled pairs of particles based on Bell's theorem(J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964)). However, there has been continuing debate on whether locality or realism is the ... More

Kinetic energy driven superconductivity in doped cupratesJun 29 2003Nov 03 2003Within the t-J model, the mechanism of superconductivity in doped cuprates is studied based on the partial charge-spin separation fermion-spin theory. It is shown that dressed holons interact occurring directly through the kinetic energy by exchanging ... More

Momentum and doping dependence of spin excitations in electron-doped cuprate superconductorsOct 17 2016Superconductivity in copper oxides emerges on doping holes or electrons into their Mott insulating parent compounds. The spin excitations are thought to be the mediating glue for the pairing in superconductivity. Here the momentum and doping dependence ... More

Doping and temperature dependence of electronic Raman response in cuprate superconductorsApr 27 2010Nov 03 2010The doping and temperature dependence of the electronic Raman response in cuprate superconductors is studied within the framework of the kinetic energy driven superconducting mechanism for the t-J model. It is shown that the temperature dependent depletion ... More

Electronic structure of kinetic energy driven superconductorsFeb 28 2006Sep 02 2006Within the framework of the kinetic energy driven superconductivity, we study the electronic structure of cuprate superconductors. It is shown that the spectral weight of the electron spectrum in the antinodal point of the Brillouin zone decreases as ... More

Asymmetry of the electron spectrum in hole-doped and electron-doped cupratesSep 20 2005Mar 08 2006Within the t-t'-J model, the asymmetry of the electron spectrum and quasiparticle dispersion in hole-doped and electron-doped cuprates is discussed. It is shown that the quasiparticle dispersions of both hole-doped and electron-doped cuprates exhibit ... More

Indications of incommensurate spin fluctuations in doped triangular antiferromagnetsMar 29 2002Apr 24 2003The incommensurate spin fluctuation of the doped triangular antiferromagnet is studied within the t-J model. It is shown that the commensurate peak near the half-filling is split into six incommensurate peaks in the underdoped and optimally doped regimes. ... More

Charge Dynamics from Copper Oxide MaterialsAug 21 1997Aug 26 1997The charge dynamics of the copper oxide materials in the underdoped and optimal doped regimes is studied within the framework of the fermion-spin theory. The conductivity spectrum shows the non-Drude behavior at low energies and unusual midinfrared peak, ... More

Anisotropic microwave conductivity of cuprate superconductors in the presence of CuO chain induced impuritiesAug 24 2009The anisotropy in the microwave conductivity of the ortho-II YBa$_2$Cu$_3$O$_{6.50}$ is studied within the kinetic energy driven superconducting mechanism. The ortho-II YBa$_2$Cu$_3$O$_{6.50}$ is characterized by a periodic alternative of filled and empty ... More

Electronic properties of the doped antiferromagnet on a kagome latticeJun 03 1999Within the t-J model, we study the electronic properties of the doped antiferromagnet on the kagome lattice based on the framework of the self-consistent mean-field theory. At the half-filling, the spin-liquid ground-state energy per site of the kagome ... More

Schwinger-Boson Mean-Field Theory of Mixed-Spin Antiferromagnet $L_2BaNiO_5$Sep 17 2002Sep 18 2002The Schwinger-boson mean-field theory is used to study the three-dimensional antiferromagnetic ordering and excitations in compounds $L_2BaNiO_5$, a large family of quasi-one-dimensional mixed-spin antiferromagnet. To investigate magnetic properties of ... More

X-ray Spectral and timing properties of the black hole x-ray transient Swift J1753.5-0127Jan 17 2007We have carried out detailed analysis on the black hole candidate (BHC) X- ray transient Swift J1753.5-0127 observed by the Rossi X-Ray Timing Explorer (RXTE) during its outburst in 2005 {2006. The spectral analysis shows that the emissions are dominated ... More

The charge asymmetry in superconductivity of hole- and electron-doped cupratesJan 23 2005Apr 18 2005Within the t-t'-J model, the charge asymmetry in superconductivity of hole- and electron-doped cuprates is studied based on the kinetic energy driven superconducting mechanism. It is shown that superconductivity appears over a narrow range of doping in ... More

Effect of the additional second neighbor hopping on the charge dynamics in the t-J modelMar 17 2002The effect of the additional second neighbor hopping t' on the charge dynamics of the t-J model in the underdoped regime is studied within the fermion-spin theory. The conductivity spectrum of the t-t'-J model shows the low-energy peak and unusual midinfrared ... More

Spin Dynamics for the t-J ModelMay 24 1998Nov 07 2003The spin dynamics at the finite temperature for the t-J model in the underdoped and optimal doped regimes is studied within the fermion-spin theory. It is shown that the dynamical spin structure factor spectrum at the antiferromagnetic wave vector $Q=(\pi,\pi)$ ... More

Doping and energy evolution of spin dynamics in the electron-doped cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-δ}$Jul 24 2007Feb 14 2008The doping and energy evolution of the magnetic excitations of the electron-doped cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-\delta}$ in the superconducting state is studied based on the kinetic energy driven superconducting mechanism. It ... More

The fundamental role of superconducting quasiparticle coherence in cuprate superconductorsJun 23 2006Jul 05 2006Within the kinetic energy driven superconducting mechanism, we study the interplay between superconductivity and the nodal and antinodal superconducting quasiparticle coherences in cuprate superconductors, and find the s-wave superconducting transition ... More

Theory of superconductivity in doped cupratesMar 07 2006Dec 09 2006Within the t-t'-J model, the physical properties of doped cuprates in the superconducting-state are discussed based on the kinetic energy driven superconducting mechanism. We show that the superconducting-state in cuprate superconductors is controlled ... More

Higher order tangents and Higher order Laplacians on Sierpinski Gasket Type FractalsJul 26 2016We study higher order tangents and higher order Laplacians on p.c.f. self-similar sets with fully symmetric structures, such as $D3$ or $D4$ symmetric fractals. Firstly, let $x$ be a vertex point in the graphs that approximate the fractal, we prove that ... More

Enhancement of superconducting transition temperature by the additional second neighbor hopping t' in the t-J modelJun 05 2005Sep 20 2005Within the kinetic energy driven superconducting mechanism, the effect of the additional second neighbor hopping t' on the superconducting state of the t-J model is discussed. It is shown that t' plays an important role in enhancing the superconducting ... More

Normal-state pseudogap and electron flat dispersion in copper oxide materialsJun 06 2000The anomalous momentum and doping dependence of the electron spectral function and electron dispersion for copper oxide materials in the underdoped regime are studied within the t-J model. It is shown that the electron spectrum is changed with dopings, ... More

Out-of-plane impurities induced the deviation from the monotonic d-wave superconducting gap in cuprate superconductorsJan 05 2009Aug 03 2009The electronic structure of cuprate superconductors is studied within the kinetic energy driven superconducting mechanism in the presence of the out-of-plane impurities. With increasing the impurity concentration, although both superconducting coherence ... More

Unusual heat transport in underdoped cupratesNov 05 2003Jul 02 2004Within the t-J model, the heat transport of the underdoped cuprates is studied based on the fermion-spin theory. It is shown that at low temperatures the energy dependence of the thermal conductivity spectrum consists of two bands. The higher-energy band ... More

Optical Conductivity in the Copper Oxide MaterialsJul 19 1998The frequency- and temperature-dependent optical conductivity of the copper oxide materials in the underdoped and optimal doped regimes are studied within the t-J model. The conductivity spectrum shows the unusual behavior at low energies and anomalous ... More

Some Properties of the Derivatives on Sierpinski Gasket Type FractalsFeb 12 2016In this paper, we focus on Strichartz's derivatives, a family of derivatives including the normal derivative, on p.c.f. (post critically finite) fractals, which are defined at vertex points in the graphs that approximate the fractal. We obtain a weak ... More

Electronic Raman response in electron-doped cuprate superconductorsMar 11 2011Jul 20 2011The electronic Raman response in the electron-doped cuprate superconductors is studied based on the $t$-$t'$-$J$ model. It is shown that although the domelike shape of the doping dependent peak energy in the $B_{2g}$ symmetry is a common feature for both ... More

Pseudogap effects on the charge dynamics in the underdoped copper oxide materialsMay 13 2002Within the t-J model, the charge dynamics of copper oxide materials in the underdoped regime is studied based on the fermion-spin theory. It is shown that both in-plane charge dynamics and c-axis charge dynamics are mainly governed by the scattering from ... More

Universal Spin Response in Copper Oxide MaterialsMar 20 1998Nov 06 2003The spin response in the copper oxide materials at finite temperatures in the underdoped and optimal doped regimes is studied within the framework of the fermion-spin theory. The integrated dynamical spin structure factor is almost temperature independent, ... More

Spin-Liquid State for Two-Dimensional Heisenberg Antiferromagnets on a Triangular LatticeAug 07 1998The spin liquid state of the antiferromagnetic Heisenberg model on a triangular lattice is studied within the self-consistent Green's function method. It is shown that the spin excitation spectra is gapless, and ground-state energy per site is $E_{g}/NJ=-0.966$, ... More

Reversible magnetization and critical fluctuations in systematically doped YBa$_2$Cu$_3$O$_{7-δ}$ single crystalsMar 29 2006Apr 03 2006The temperature and field dependence of reversible magnetization have been measured on a YBa$_2$Cu$_3$O$_{7-\delta}$ single crystal at six different doping concentrations. It is found that the data above 2 T can be described by the scaling law based on ... More

Fermionic superfluidity and spontaneous superflows in optical latticesDec 23 2011We study superfluidity of strongly repulsive fermionic atoms in optical lattices. The atoms are paired up through a correlated tunneling mechanism, which induces superfluidity when repulsive nearest-neighbor interactions are included in the Hubbard model. ... More

Interplay between superconductivity and pseudogap state in bilayer cuprate superconductorsFeb 28 2013Jul 25 2013The interplay between the superconducting gap and normal-state pseudogap in the bilayer cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. It is shown that the charge carrier interaction directly from the ... More

Unusual charge transport and spin response of doped bilayer triangular antiferromagnetsMay 11 2003Jun 02 2003Within the t-J model, the charge transport and spin response of the doped bilayer triangular antiferromagnet are studied by considering the bilayer interaction. Although the bilayer interaction leads to the band splitting in the electronic structure, ... More

Why there is a difference between optimal doping for maximal Tc and critical doping for highest ρ_s in cuprate superconductors?Oct 23 2012A long-standing puzzle is why there is a difference between the optimal doping \delta_{optimal}=0.15 for the maximal superconducting (SC) transition temperature Tc and the critical doping \delta_{critical}=0.19 for the highest superfluid density \rho_s ... More

Doping dependence of thermodynamic properties in cuprate superconductorsNov 28 2011Mar 23 2012The doping and temperature dependence of the thermodynamic properties in cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. By considering the interplay between the superconducting gap and normal-state pseudogap, ... More

Electronic structure of the electron-doped cuprate superconductorsFeb 01 2007Within the framework of the kinetic energy driven d-wave superconductivity, the electronic structure of the electron doped cuprate superconductors is studied. It is shown that although there is an electron-hole asymmetry in the phase diagram, the electronic ... More

Superconductivity in doped two-leg ladder cupratesMar 22 2006May 20 2006Within the t-J ladder model, superconductivity with a modified d-wave symmetry in doped two-leg ladder cuprates is investigated based on the kinetic energy driven superconducting mechanism. It is shown that the spin-liquid ground-state at the half-filling ... More

Effect of the pseudogap on the infrared response in cuprate superconductorsMar 12 2014One of the most essential aspects of cuprate superconductors is a large pseudogap coexisting with a superconducting gap, then some anomalous properties can be understood in terms of the formation of the pseudogap. Within the kinetic energy driven superconducting ... More

Effect of the additional second neighbor hopping on the spin dynamics in the t-J modelJun 06 2000The effect of the additional second neighbor hopping t' on the spin dynamics in the t-J model is studied within the fermion-spin theory. Although the additional second neighbor hopping t' is systematically accompanied with the reduction of the dynamical ... More

Momentum and doping dependence of the electron spectrum and ($π$,0) feature in copper oxide materialsApr 18 2000The momentum and doping dependence of the electron spectrum of copper oxide materials in the underdoped regime is studied within the t-J model. It is shown that the pseudogap opens near ($\pi$,0) point in the Brillouin zone, and the electron dispersion ... More

Pseudogap-induced coexistence of Fermi arcs and Fermi pockets in cuprate superconductorsAug 15 2016Aug 29 2016One of the most intriguing puzzle is why there is a coexistence of Fermi arcs and Fermi pockets in the pseudogap phase of cuprate superconductors? This puzzle is calling for an explanation. Based on the t-J model in the fermion-spin representation, the ... More

Dynamical revivals of the paired superfluidity and counterflow superfluidityJun 24 2013The quantum dynamics of two-species bosons in an optical lattice is studied within the mean-field theory. The quantum coherence experiences periodical collapses and revivals, which depends on the relative strength of the inter-and intra-species interactions. ... More

Doping and energy dependent microwave conductivity of kinetic energy driven superconductors with extended impuritiesFeb 13 2008Within the framework of the kinetic energy driven superconducting mechanism, the effect of the extended impurity scatterers on the quasiparticle transport of cuprate superconductors in the superconducting state is studied based on the nodal approximation ... More

Two gaps with one energy scale in cuprate superconductorsSep 19 2011Feb 09 2012The interplay between the superconducting gap and normal-state pseudogap in cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. It is shown that the interaction between charge carriers and spins directly from ... More

Magnetic field induced reduction of the low-temperature superfluid density in cuprate superconductorsNov 06 2010Mar 16 2011The weak magnetic field induced reduction of the low-temperature superfluid density in cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. The electromagnetic response kernel is evaluated by considering both ... More

Doping dependence of electromagnetic response in electron-doped cuprate superconductorsMar 28 2012Within the framework of the kinetic energy driven superconducting mechanism, the doping dependence of the electromagnetic response in the electron-doped cuprate superconductors is studied. It is shown that although there is an electron-hole asymmetry ... More

Electronic structure of cuprate superconductors in a full charge-spin recombination schemeFeb 10 2015Jul 13 2015A long-standing unsolved problem is how a microscopic theory of superconductivity in cuprate superconductors based on the charge-spin separation can produce a large electron Fermi surface. Within the framework of the kinetic-energy driven superconducting ... More

Pseudogap-induced coexistence of Fermi arcs and Fermi pockets in cuprate superconductorsAug 15 2016Nov 29 2016One of the most intriguing puzzle is why there is a coexistence of Fermi arcs and Fermi pockets in the pseudogap phase of cuprate superconductors? This puzzle is calling for an explanation. Based on the t-J model in the fermion-spin representation, the ... More

Charge order driven by Fermi-arc instability and its connection with pseudogap in cuprate superconductorsOct 19 2015Mar 07 2016The recently discovered charge order is a generic feature of cuprate superconductors, however, its microscopic origin remains debated. Within the framework of the fermion-spin theory, the nature of charge order in the pseudogap phase and its evolution ... More

Pseudogap-induced asymmetric tunneling in cuprate superconductorsNov 08 2013Apr 03 2014The asymmetric tunneling in cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. By taking into account the interplay between the superconducting gap and normal-state pseudogap, the essential feature of the ... More

Fermion-Spin Transformation to Implement the Charge-Spin SeparationNov 01 1993A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional $t$-$J$ model. In this approach, the charge and spin degrees of freedom of the physical electron are separated, and the ... More

Pressure dependence of superconductivity in doped two-leg ladder cupratesSep 20 2006Feb 24 2007Within the kinetic energy driven superconducting mechanism, the effect of the pressure on superconductivity in doped two-leg ladder cuprates is studied. It is shown that the superconducting transition temperature in doped two-leg ladder cuprate superconductors ... More

Doping and temperature dependence of electron spectrum and quasiparticle dispersion in doped bilayer cupratesOct 17 2006Mar 04 2007Within the t-t'-J model, the electron spectrum and quasiparticle dispersion in doped bilayer cuprates in the normal state are discussed by considering the bilayer interaction. It is shown that the bilayer interaction splits the electron spectrum of doped ... More

Energy dependence of commensurate neutron scattering peak in doped two-leg ladder antiferromagnet Sr_{14-x}Ca_{x}Cu_{24}O_{41}Jan 09 2003Apr 23 2003The dynamical spin response of doped two-leg ladder antiferromagnets is investigated based on the fermion-spin approach. Our calculations clearly demonstrate a crossover from the incommensurate antiferromagnetism in the weak interchain coupling regime ... More

Cold-atoms on a two-dimensional square optical lattice with an alternating potentialMar 25 2009The cold-atom on a two-dimensional square optical lattice is studied within the hard-core boson Hubbard model with an alternating potential. In terms of the quantum Monte Carlo method, it is shown explicitly that a supersolid phase emerges due to the ... More

The magnetic nature of superconductivity in doped cupratesJul 13 2004Jan 06 2006Within the kinetic energy driven superconducting mechanism, the magnetic nature of cuprate superconductors is discussed. It is shown that the superconducting state is controlled by both charge carrier gap function and quasiparticle coherent weight. This ... More

Gauge invariant dressed holon and spinon in doped cupratesMay 29 2003Jun 02 2003We develop a partial charge-spin separation fermion-spin theory implemented the gauge invariant dressed holon and spinon. In this novel approach, the physical electron is decoupled as the gauge invariant dressed holon and spinon, with the dressed holon ... More

Pseudogap effects on the c-axis charge dynamics in copper oxide materialsJan 19 2000The c-axis charge dynamics of copper oxide materials in the underdoped and optimally doped regimes has been studied by considering the incoherent interlayer hopping. It is shown that the c-axis charge dynamics for the chain copper oxide materials is mainly ... More