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On the coefficients of an expansion of $(1+1/x)^x$ related to Carleman's inequalityJan 10 2014In this note, we present new properties for a sequence arising in some refinements of Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659] and Alzer ... More

On some convergences to the constant e and improvements of Carlemans' inequalityDec 21 2013We present inequalities and some applications to Kellers' limit and Carlemans' inequality.

Doping dependence of the upper critical field in La_{2-x}Sr_xCuO_4 from specific heatMar 05 2008The low-temperature specific heat of La_{2-x}Sr_xCuO_4 (LSCO) single crystals in magnetic field H up to 12 T has been examined over a wide range of doping (0.063=< p =<0.238). From this we have mapped the upper critical field H_{c2} of LSCO across the ... More

Local-Aggregate Modeling for Big-Data via Distributed Optimization: Applications to NeuroimagingMay 03 2014May 14 2015Technological advances have led to a proliferation of structured big data that have matrix-valued covariates. We are specifically motivated to build predictive models for multi-subject neuroimaging data based on each subject's brain imaging scans. This ... More

ADMM Algorithmic Regularization Paths for Sparse Statistical Machine LearningApr 24 2015Optimization approaches based on operator splitting are becoming popular for solving sparsity regularized statistical machine learning models. While many have proposed fast algorithms to solve these problems for a single regularization parameter, conspicuously ... More

Analysis of Personalized Information Service System for Digital LibrariesFeb 17 2014Along with the rapid development of digital library, digital library of the third generation, taking the main characteristics of the personalized service, has already become the mainstream today. This article first analyzes the concept and characteristics ... More

Z_3 Symmetry and Neutrino Mixing in Type II SeesawDec 28 2006Neutrino mixing matrix satisfying the current experimental data can be well described by the HPS tri-bimaximal mixing matrix. We propose that its origin can be understood within the seesaw framework by a hidden condition on the mass matrix of heavy right-handed ... More

Interaction of a surface acoustic wave with a two-dimensional electron gasAug 02 2005When a surface acoustic wave propagates on the surface of a GaAs semiconductor, coupling between electrons in the two-dimensional electron gas beneath the interface and the elastic host crystal through piezoelectric interaction will attenuate the SAW. ... More

Low-Rank Structure Learning via Log-Sum Heuristic RecoveryDec 09 2010Mar 24 2012Recovering intrinsic data structure from corrupted observations plays an important role in various tasks in the communities of machine learning and signal processing. In this paper, we propose a novel model, named log-sum heuristic recovery (LHR), to ... More

Damping law of photocount distribution in a dissipative channelMar 20 2013For a dissipative channel governed by the master equation of density operator}$d\rho /dt=\kappa \left(2a\rho a^{\dagger}-a^{\dagger}a\rho -\rho a^{\dagger}a\right) ,${\small \ we find that photocount distribution formula at time}$t,${\small \}$p\left(n,t\right) ... More

Quantized squeezing and even-odd asymmetry of trapped bosonsSep 17 2009We investigate the exact nature of the superfluid-to-Mott-insulator crossover for interacting bosons on an optical lattice in a one-dimensional, harmonic trap by high-precision density-matrix renormalization-group calculations. The results reveal an intermediate ... More

Nature of Intermediate States between Superfluid and Mott insulator for Interacting Bosons in One-dimension with a Harmonic Trapping PotentialJan 28 2007Jan 30 2007Successive quantum transitions in an intermediate regime are shown to exist between the superfluid and Mott insulating states for interacting bosonic atoms in one dimension with a trapping potential. These transitions, which are caused by the interplay ... More

Controlling Communication Field of Complex Networks by Transformation MethodNov 25 2011Controlling the global statuses of a network by its local dynamic parameters is an important issue, and it is difficult to obtain the direct solution for. The transformation method, which is originally used to control physical field by designing material ... More

Possible nodeless superconductivity in the noncentrosymmetric superconductor Mg_(12-delta)Ir_19B_16Aug 26 2007We measured the resistivity, diamagnetization, and low-temperature specific heat of the newly discovered noncentrosymmetric superconductor Mg_(12-delta)Ir_19B_16. The temperature dependence of specific heat is consistent with the model of an isotropic ... More

Nodeless Superconductivity in the Noncentrosymmetric Superconductor $Mg_{10}Ir_{19}B_{16}$Jun 06 2007Jun 09 2007We measured the resistivity, diamagnetization and low temperature specific heat of the newly discovered noncentrosymmetric superconductor $Mg_{10}Ir_{19}B_{16}$. It is found that the superconducting gap has an s-wave symmetry with a value of about $\Delta_0 ... More

Well-balanced and flexible morphological modeling of swash hydrodynamics and sediment transportDec 24 2014Existing numerical models of the swash zone are relatively inflexible in dealing with sediment transport due to a high dependence of the deployed numerical schemes on empirical sediment transport relations. Moreover, these models are usually not well-balanced, ... More

Nano-scale Inhomogeneous Superconductivity in Fe(Te1-xSex) Probed by Nanostructure-transportAug 22 2016Among iron based superconductors, the layered iron chalcogenide Fe(Te1-xSex) is structurally the simplest and has attracted considerable attentions. It has been speculated from bulk studies that nanoscale inhomogeneous superconductivity may inherently ... More

Weight Distribution of A p-ary Cyclic CodeJan 16 2009For an odd prime $p$ and two positive integers $n\geq 3$ and $k$ with $\frac{n}{{\rm gcd}(n,k)}$ being odd, the paper determines the weight distribution of a $p$-ary cyclic code $\mathcal{C}$ over $\mathbb{F}_{p}$ with nonzeros $\alpha^{-1}$, $\alpha^{-(p^k+1)}$ ... More

A new optical field state as an output of diffusion channel when the input being number stateNov 06 2013We theoretically propose a new optical field state which is named Laguerre-polynomial-weighted chaotic field. We show that such state can be implemented, i.e., when a number state enters into a diffusion channel, the output state is just this kind of ... More

Determination of the superconducting gap in near optimally doped Bi_2Sr_{2-x}La_xCuO_{6+δ} (x ~ 0.4) from low-temperature specific heatFeb 28 2011Low-temperature specific heat of the monolayer high-Tc superconductor Bi_2Sr_{2-x}La_xCuO_{6+\delta} has been measured close to the optimal doping point (x ~ 0.4) in different magnetic fields. The identification of both a T^2 term in zero field and a ... More

On an infinite series for $(1+1/x)^x$Jun 30 2014The aim of this paper is to construct a new expansion of $(1+1/x)^x$ related to Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659].

Multi-Sensor Surface Analysis for Robotic IroningFeb 16 2016Robotic manipulation of deformable objects remains a challenging task. One such task is to iron a piece of cloth autonomously. Given a roughly flattened cloth, the goal is to have an ironing plan that can iteratively apply a regular iron to remove all ... More

Molecular-Scale Hydrophilicity Induced by Solute: Molecular-thick Charged Pancakes of Aqueous Salt Solution on Hydrophobic Carbon-based SurfacesSep 16 2014Oct 09 2014We directly observed molecular-thick aqueous salt-solution pancakes on a hydrophobic graphite surface under ambient conditions employing atomic force microscopy. This observation indicates the unexpected molecular-scale hydrophilicity of the salt solution ... More

Mining and Analyzing the Future Works in Scientific ArticlesJul 08 2015Future works in scientific articles are valuable for researchers and they can guide researchers to new research directions or ideas. In this paper, we mine the future works in scientific articles in order to 1) provide an insight for future work analysis ... 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

Diverse anisotropy of phonon transport in two-dimensional IV-VI compounds: A comparative studyFeb 04 2016Apr 16 2016New classes two-dimensional (2D) materials beyond graphene, including layered and non-layered, and their heterostructures, are currently attracting increasing interest due to their promising applications in nanoelectronics, optoelectronics and clean energy, ... More

Dispersion of velocity gradients: Mapping magnetization with the Velocity Gradient TechniqueFeb 08 2018Recent developments of the Velocity Gradient Technique (VGT) show that the velocity provides a robust measure of magnetic field direction. In this paper, we use velocity centroids as the measures of velocity and propose a new way of studying media magnetization. ... More

The thermal and electrical properties of the promising semiconductor MXene Hf2CO2Oct 28 2015In this work, we investigate the thermal and electrical properties of oxygen-functionalized M2CO2 (M = Ti, Zr, Hf) MXenes using first-principles calculations. Hf2CO2 is found to exhibit a thermal conductivity better than MoS2 and phosphorene. The room ... More

EMC design for the actuators of FAST reflectorFeb 07 2018The active reflector is one of the three main innovations of the Five-hundred-meter Aperture Spherical radio Telescope (FAST). The deformation of such a huge spherically shaped reflector into different transient parabolic shapes is achieved by using 2225 ... More

A Possible Signal for QGP Formation from the Minimum-Bias Data of Relativistic Large Heavy Ion CollisionsAug 02 1996It is argued that the experimentally observed strong upward-bending of the logarithm of factorial moments versus that of phase space partition number in the higher-dimensional phase space of nucleus-nucleus collisions is due to the superposition of elementary ... More

Design Study on Medium beta SC Half-Wave Resonator at IMPOct 07 2015A superconducting half-wave resonator has been designed with the frequency of 325 MHz and beta of 0.51. Different geometry parameters and shapes of inner conductors (racetrack, ring-shape and elliptical-shape) were optimized to decrease the peak electromagnetic ... More

Prediction of the effective force on DNA in a nanopore based on density functional theoryJun 17 2013We consider voltage-driving DNA translocation through a nanopore in the present study. By assuming the DNA is coaxial with the cylindrical nanopore, a hydrodynamic model for determining effective force on a single DNA molecule in a nanopore was presented, ... More

Strain-induced magnetic phase transition in SrCoO$_{3-δ}$ thin filmsFeb 18 2015It has been well established that both in bulk at ambient pressure and for films under modest strains, cubic SrCoO$_{3-\delta}$ ($\delta < 0.2$) is a ferromagnetic metal. Recent theoretical work, however, indicates that a magnetic phase transition to ... More

Emoticon-based Ambivalent Expression: A Hidden Indicator for Unusual Behaviors in WeiboMay 07 2015Recent decades have witnessed online social media being a big-data window for quantificationally testifying conventional social theories and exploring much detailed human behavioral patterns. In this paper, by tracing the emoticon use in Weibo, a group ... More

Pseudogap, Superconducting Gap, and Fermi Arcs in Underdoped Cuprate SuperconductorsFeb 16 2005Through the measurements of magnetic field dependence of specific heat in $La_{2-x}Sr_xCuO_4$ in zero temperature limit, we find that the nodal slope $v_\Delta$ of the superconducting gap has a very similar doping dependence of the pseudogap temperature ... More

Pseudogap, Superconducting Energy Scale, and Fermi Arcs in Underdoped Cuprate SuperconductorsAug 22 2005Through the measurements of magnetic field dependence of specific heat in $La_{2-x}Sr_xCuO_4$ in zero temperature limit, we determined the nodal slope $v_\Delta$ of the quasiparticle gap. It is found that $v_\Delta$ has a very similar doping dependence ... More

(2^n,2^n,2^n,1)-relative difference sets and their representationsNov 13 2012Apr 13 2013We show that every $(2^n,2^n,2^n,1)$-relative difference set $D$ in $\Z_4^n$ relative to $\Z_2^n$ can be represented by a polynomial $f(x)\in \F_{2^n}[x]$, where $f(x+a)+f(x)+xa$ is a permutation for each nonzero $a$. We call such an $f$ a planar function ... More

On sharp lower bound of the spectral gap for a Schrödinger operator and some related resultsJul 02 2014In this paper, we give an easy proof of the main results of Andrews and Clutterbuck's paper [J. Amer. Math. Soc. 24 (2011), no. 3, 899--916], which gives both a sharp lower bound for the spectral gap of a Schr\"oinger operator and a sharp modulus of concavity ... More

Comments on `Rashba precession in quantum wire with interaction'Jun 02 2003In a recent Rapid Communication (Phys. Rev. B {\bf 63}, 121210(R) (2001)), Ha\"usler showed that the interaction between electrons in quantum wires may enhance the persistent spin current arising from Rashba spin-orbital coupling. In this Comments, we ... More

A Microscopic Model of Edge States of Fractional Quantum Hall Liquid: From Composite Fermions to Calogero-Sutherland ModelJun 09 1999Jul 14 1999Based on the composite fermion approach, we derive a microscopic theory describing the low-lying edge excitations in the fractional quantum Hall liquid with $\nu=\frac{\nu^*}{\tilde\phi\nu^*+1}$. For $\nu^*>0$, it is found that the composite fermion model ... More

On Kadell's two Conjectures for the $q$-Dyson ProductSep 07 2010By extending Lv-Xin-Zhou's first layer formulas of the $q$-Dyson product, we prove Kadell's conjecture for the Dyson product and show the error of his $q$-analogous conjecture. With the extended formulas we establish a $q$-analog of Kadell's conjecture ... More

MAC Protocols Design for Smart Metering NetworkJan 06 2016The new generation of power metering system - i.e. Advanced Metering Infrastructure (AMI) - is expected to enable remote reading, control, demand response and other advanced functions, based on the integration of a new two-way communication network, which ... More

The Coleman-Weinberg Mechanism and First Order Phase TransitionsMar 26 1993Aug 06 1993Revised and reduced the size of the text. Removed figure 2 in previous text. So, old figure 3 and 4 become new figure 2 and 3, respectively. Added figure 4 for first order phase transition observation in the strong coupling region. Postscript files for ... More

A Corrected Parsimony Criterion for Reconstructing PhylogeniesOct 11 2016In phylogenetic analysis, for non-molecular data, particularly morphology, parsimony optimization is the most commonly employed approach. In the past and present application of the parsimony principle, extra step numbers have been added across different ... More

Gossamer supercoductivity and the mean field approximation of a new effective Hubbard modelNov 07 2002Nov 08 2002We construct a new effective two-dimensional Hubbard model by taking the different electron occupancy on site into account. The mean field state of the new Hamiltonian gives rise to the gossamer superconducting state proposed by Laughlin recently(cond-mat/0209269). ... More

From Composite Fermions to Calogero-Sutherland Model: Edge of Fractional Quantum Hall Liquid and the Dimension ReductionNov 04 1999We derive a microscopic model describing the low-lying edge excitations in the fractional quantum Hall liquid with $\nu=\frac{\nu^*} {\tilde\phi\nu^*+1}$. For $\nu^*>0$, it is found that the composite fermion model reduces to an SU$(\nu^*)$ Calogero-Sutherland ... More

Tripled composite fermion liquid in generalized Pfaffian of v=5/2 and non-abelian anyonic quasiholes with k=3Nov 15 2007Jan 17 2008This paper has been withdrawn by the author, due to an important sign error in Eqn. 2.

Astrometric Reverberation MappingAug 03 2012Spatially extended emission regions of Active Galactic Nuclei (AGN) respond to continuum variations, if such emission regions are powered by energy reprocessing of the continuum. The response from different parts of the reverberating region arrives at ... More

Supermassive Black Holes in the Hierarchical Universe: A General Framework and Observational TestsMar 26 2009Aug 05 2009(Abridged) We present a simple framework for the growth and evolution of supermassive black holes (SMBHs) in the hierarchical structure formation paradigm. In our model, black hole accretion is triggered during major mergers (mass ratio>~0.3) between ... More

Does the 2d Higgs-Yukawa Model Have a Symmetric Phase at Small Yukawa Coupling Region?Jan 20 1993We show that at arbitrary value of the scalar self coupling and small Yukawa coupling $y$ the 2d Higgs-Yukawa model with Z(2) symmetry remains in the broken phase and the model is asymptotically free: $y \to 0$ as the cut-off $\Lambda \to \infty$. This ... More

New extensions to the sumsets with polynomial restrictionsFeb 15 2012By taking the leading and the second leading coefficients of the Morris identity, we get new polynomial coefficients. These coefficients lead to new results in the sumsets with polynomial restrictions by the polynomial method of N. Alon.

Dynamics of edge Majorana fermions in $ν=\frac{5}2$ fractional quantum Hall effectsAug 24 2006Oct 25 2007Commencing with the composite fermion description of the $\nu=5/2$ fractional quantum Hall effect, we study the dynamics of the edge neutral Majorana fermions. We confirm that these neutral modes are chiral and show that a conventional p-wave pairing ... More

Short-range coherence of a lattice Bose atom gas in the Mott insulating phaseMay 09 2005Nov 24 2005We study the short-range coherence of ultracold lattice Bose gases in the Mott insulating phase. We calculate the visibility of the interference pattern and the results agree quantitatively with the recent experimental measurement [Phys. Rev. Lett. 95, ... More

Time-evolution stability of order parameters and phase diagrams of bosons on optical latticeMar 01 2004Stemming from the Heisenberg equations of motion, we study the time-evolution stability of the order parameters for the cold atoms on optical lattices. The requirement of this stability of the order parameters endows the phase diagram with a fruitful ... More

A Systematic Improvement for Calculation to Conductivity in Anomalous Propagation of Surface Acoustic Wave at $ν={1/2}$Jan 14 1998We report a systematic improvement to calculate the conductivity which associates to the anomaly of the propagation of surface acoustic waves at $\nu={1/2}$ above a two-dimensional electron gas. We try to resolve the discrepancy between theoretical and ... More

Incompressible excitonic superfluid of ultracold Bose atoms in an optical lattice: a new superfluid phase in the one-component Bose-Hubbard modelJan 04 2005We predict that a new superfluid phase, the incompressible excitonic superfluid (IESF), in the phase diagram of ultracold Bose atoms in $d>1$ dimensional optical lattices, which is caused by the spontaneous breaking of the symmetry of translation of the ... More

A Novel Meron-induced Pseudospin Wave in Bilayer Quantum Hall Coherent State and the Residual Zero-bias Peak in Tunneling ConductanceJun 14 2002In the bilayer quantum Hall coherent state for $\nu_T$ deviating slightly from one, we show that, instead of the global order parameter, the spontaneous breaking of the pseudospin U(1) rotational symmetry is reflected by the periodic domain structure ... More

Gauge symmetry in Kitaev-type spin models and index theorems on odd manifoldsApr 29 2007Jan 22 2008We construct an exactly soluble spin-$\frac{1}2$ model on a honeycomb lattice, which is a generalization of Kitaev model. The topological phases of the system are analyzed by study of the ground state sector of this model, the vortex-free states. Basically, ... More

Well-posedness of boundary value problems for a class of second order degenerate elliptic equationsMay 02 2005Feb 28 2006In this paper, we study the well-posedness of boundary value problems for a special class of degenerate elliptic equations coming from geometry. Such problems is intimately tied to rigidity problem arising in infinitesimal isometric deformation, The characteristic ... More

Offset of C60 inside larger fullerenes and its potential applicationsFeb 09 2009Mar 03 2009The paper has been withdrawn by the author due to a the manuscript error.

Current deformation and quantum inductance in mesoscopic capacitorsFeb 20 2014Apr 22 2014We present a theoretical analysis of low frequency dynamics of a single-channel mesoscopic capacitor, which is composed by a quantum dot connected to an electron reservoir via a single quantum channel. At low frequencies, it is known that the Wigner-Smith ... More

Proof of the Pólya conjectureNov 05 2014Nov 09 2014In this paper, we study lower bounds for higher eigenvalues of the Dirichlet eigenvalue problem of the Laplacian on a bounded domain $\Omega$ in $\mathbb{R}^n$. It is well known that the $k$-th Dirichlet eigenvalue $\lambda_k$ obeys the Weyl asymptotic ... More

Sharp estimate of lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifoldsOct 21 2012The aim of this paper is give a simple proof of some results in \cite{Jun Ling-2006-IJM} and \cite{JunLing-2007-AGAG}, which are very deep studies in the sharp lower bound of the first eigenvalue in the Laplacian operator on compact Riemannian manifolds ... More

Calogero-Sutherland gas of ultracold Bose atomsMar 13 2006Sep 26 2006We show that the Calogero-Sutherland (C-S) gas, a famous exact soluble one-dimensional system with an inverse square long range interaction, can be realized by dimension reduction in a cold Bose atom system with a dipole-dipole interaction. Depending ... More

From Hubbard model to t-J-U model: a canonical transformation formalism, the metal-insulator transition and mean-field stateMar 24 2003We prove that the t-J-U model can be deduced from the Hubbard model at a large but finite U by a canonical transformation. We argue that the system may have a metal-insulator transition at a critical on-site Coulomb interaction whose value, however, is ... More

Effect of Subband Landau Level Coupling to the Linearly Dispersing Collective Mode in a Quantum Hall FerromagnetMay 13 2002Oct 05 2002In a recent experiment (Phys. Rev. Lett. {\bf 87}, 036903 (2001)), Spielman et al observed a linearly dispersing collective mode in quantum Hall ferromagnet. While it qualitatively agrees with the Goldstone mode dispersion at small wave vector, the experimental ... More

A Note on the Isotopism of Commutative SemifieldsJun 08 2010Mar 07 2012We present an example of two isotopic but not strongly isotopic commutative semifields. This example shows that a recent result of Coulter and Henderson on semifield of order p^n, n odd, can not be generalized to the case n even.

Controlling elastic wave with isotropic transformation materialsNov 25 2010There are great demands to design functional devices with isotropic materials, however the transformation method usually leads to anisotropic material parameters difficult to be realized in practice. In this letter, we derive the isotropic transformed ... More

Walking of the iCub humanoid robot in different scenarios: implementation and performance analysisJul 28 2016The humanoid robot iCub is a research platform of the Fondazione Istituto Italiano di Tecnologia (IIT), spread among different institutes around the world. In the most recent version of iCub, the robot is equipped with stronger legs and bigger feet that ... More

Perspective of monochromatic gamma-ray line detection with the High Energy cosmic-Radiation Detection (HERD) facility onboard China's Space StationSep 09 2015Apr 22 2016HERD is the High Energy cosmic-Radiation Detection instrument proposed to operate onboard China's space station in the 2020s. It is designed to detect energetic cosmic ray nuclei, leptons and photons with a high energy resolution ($\sim1\%$ for electrons ... More

Genuine Correlations of Tripartite SystemJun 09 2012We define genuine total, classical and quantum correlations in tripartite systems. The measure we propose is based on the idea that genuine tripartite correlation exists if and only if the correlation between any bipartition does not vanish. We find in ... More

Simultaneous observation of forward-backward attosecond photoelectron holographyNov 30 2015Photoelectron angular momentum distribution of He+ driven by a few-cycle laser is investigated numerically. We simultaneously observe two dominant interference patterns with one shot of lasers by solving the 3D time-dependent Schrodinger equation (TDSE). ... More

A pathway to optimize the properties of magnetocaloric MnxFe2-x(P1-yGey) for magnetic refrigerationAug 28 2014Magnetocaloric materials can be useful in magnetic refrigeration applications, but to be practical the magneto-refrigerant needs to have a very large magnetocaloric effect (MCE) near room temperature for modest applied fields (<2 Tesla) with small hysteresis ... More

Variable separation approach for a differential-difference system: special Toda equationOct 07 2002A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a suitable potential of the differential-difference Toda system. Abundant ... More

Nonlocal symmetries for bilinear equations and their applicationsDec 04 2008In this paper, nonlocal symmetries for the bilinear KP and bilinear BKP equations are re-studied. Two arbitrary parameters are introduced in these nonlocal symmetries by considering gauge invariance of the bilinear KP and bilinear BKP equations under ... More

Dynamical Solutions to the Horizon and Flatness ProblemsFeb 03 1993Jan 05 1994We discuss in some detail the requirements on an early-Universe model that solves the horizon and flatness problems during the epoch of classical cosmology ($t\ge t_i\gg 10^{-43}\sec$). We show that a dynamical resolution of the horizon problem requires ... More

Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equationOct 07 2002Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the once Darboux transformation yields the variable separable ... More

Forming supermassive black holes by accreting dark and baryon matterOct 07 2005Given a large-scale mixture of self-interacting dark matter (SIDM) particles and baryon matter distributed in the early Universe, we advance here a two-phase accretion scenario for forming supermassive black holes (SMBHs) with masses around $\sim 10^9 ... More

Gravitational Waves From SU(N) Glueball Dark MatterOct 21 2016A hidden sector with pure non-abelian gauge symmetry is an elegant and just about the simplest model of dark matter. In this model the dark matter candidate is the lightest bound state made of the confined gauge fields, the dark glueball. In spite of ... More

Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY modelJun 07 1996We found the eigenvalues of the transfer matrices for the 1-D Hubbard model and for the coupled XY model with twisted boundary condition by using the analytic Bethe Ansatz method. Under a particular condition the two models have the same Bethe Ansatz ... More

Theory of Quantum Gravity Beyond Einstein and Space-time Dynamics with Quantum InflationOct 15 2015In this talk, I present a theory of quantum gravity beyond Einstein. The theory is established based on spinnic and scaling gauge symmetries by treating the gravitational force on the same footing as the electroweak and strong forces. A bi-frame space-time ... More

Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systemsJun 17 2015We propose a relativistic Jeff=3/2 semimetal with 4d1 or 5d1 electrons on a cubic lattice when the strong spin-orbital coupling takes over the Hunds' coupling. A relativistic spinor with spin 3/2 is historically called Rarita-Schwinger spinor. In the ... More

Explicit illustration of non-abelian fusion rules in a small spin latticeNov 11 2008Nov 13 2008We exactly solve a four-site spin model with site-dependent Kitaev's coupling in a tetrahedron by means of an analytical diagonalization. The non-abelian fusion rules of eigen vortex excitations in this small lattice model are explicitly illustrated in ... More

Explicit demonstration of nonabelian anyon, braiding matrix and fusion rules in the Kitaev-type spin honeycomb lattice modelsApr 03 2008Apr 07 2008The exact solubility of the Kitaev-type spin honeycomb lattice model was proved by means of a Majorana fermion representation or a Jordan-Wigner transformation while the explicit form of the anyon in terms of Pauli matrices became not transparent. The ... More

Anyonic Loops in Three Dimensional Spin liquid and Chiral Spin LiquidDec 27 2007Jun 18 2008We established a large class of exactly soluble spin liquids and chiral spin liquids on three dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral spin liquids, exact stable ground states with spontaneous breaking of the ... More

Exactly soluble spin-1/2 models on three-dimensional lattices and non-abelian statistics of closed string excitationsSep 10 2007Sep 15 2007Exactly soluble spin-$\frac{1}2$ models on three-dimensional lattices are proposed by generalizing Kitaev model on honeycomb lattice to three dimensions with proper periodic boundary conditions. The simplest example is spins on a diamond lattice which ... More

The Hall effect of dipole chain in one dimensional Bose-Einstein condensationMay 16 2006We find a breather behavior of the dipole chain, this breather excitation obey fractional statistics, it could be an experimental quantity to detect anyon. A Hall effect of magnetic monopole in a dipole chain of ultracold molecules is also presented, ... More

Partial Sliced Inverse Regression for Quality-Relevant Multivariate Statistical Process MonitoringFeb 02 2012This paper introduces a popular dimension reduction method, sliced inverse regression (SIR), into multivariate statistical process monitoring. Provides an extension of SIR for the single-index model by adopting the idea from partial least squares (PLS). ... More

Impact of a CP Violating Higgs: from LHC to BaryogenesisApr 02 2013Nov 05 2013We observe a generic connection between LHC Higgs data and electroweak baryogenesis: the particle that contributes to the CP odd $hgg$ or $h \gamma \gamma$ vertex would provide the CP violating source during a first order phase transition. It is illustrated ... More

Nonlinear attitude stability of a spacecraft on a stationary orbit around an asteroid subjected to gravity gradient torqueAug 24 2014Sep 02 2014The classical problem of attitude stability in a central gravity field is generalized to that on a stationary orbit around a uniformly-rotating asteroid. This generalized problem is studied in the framework of geometric mechanics. Based on the natural ... More

Gravity gradient torque of spacecraft orbiting asteroidsNov 17 2013Purpose: This paper presents a full fourth-order model of the gravity gradient torque of spacecraft around asteroids by taking into consideration of the inertia integrals of the spacecraft up to the fourth order, which is an improvement of the previous ... More

Stability of the classical type of relative equilibria of a rigid body in the J2 problemApr 25 2013The motion of a point mass in the J2 problem is generalized to that of a rigid body in a J2 gravity field. The linear and nonlinear stability of the classical type of relative equilibria of the rigid body, which have been obtained in our previous paper, ... More

Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. II. Positivity, integrality and the gluing formulaAug 27 2016We prove three fundamental properties of counting holomorphic cylinders in log Calabi-Yau surfaces: positivity, integrality and the gluing formula. Positivity and integrality assert that the numbers of cylinders, defined via virtual techniques, are in ... More

Computing tropical points and tropical linksNov 09 2016In this article, we apply some basic results on triangular decomposition and Newton polygons to construct fast algorithms for computing non-trivial points on and codimension one links of tropical varieties. Using them, we show that the tropical Grassmannians ... More

Quantum teleportation via a two-qubit Heisenberg XXZ chain-effects of anisotropy and magnetic fieldAug 18 2008We study quantum teleportation via a two-qubit Heisenberg XXZ chain under an inhomogeneous magnetic field. We first consider entanglement teleportation, and then focus on the teleportation fidelity under different conditions. The effects of anisotropy ... More

PSR B1257+12: a quark star with planets?Sep 18 2007A recent observation has shown that PSR B1257+12 could have quite small X-ray emitting area, only about 2000 m$^2$, which is more than three orders smaller than the canonical polar cap size. We suggest here that PSR B1257+12 could be a low-mass quark ... More

Selling at the ultimate maximum in a regime switching modelAug 27 2015Jun 24 2016This paper deals with optimal prediction in a regime-switching model driven by a continuous-time Markov chain. We extend existing results for geometric Brownian motion by deriving optimal stopping strategies that depend on the current regime state, and ... More

Algorithms for finding transposons in gene sequencesJun 08 2015With the process of evolution, some genes will change their relative positions in gene sequence. These "jumping genes" are called transposons. Through some intuitive rules, we give a criterion to determine transposons among gene sequences of different ... More

Lax pair for SU(n) Hubbard modelJan 20 1998Jan 30 1998For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability ... More

Hidden SU(N) Glueball Dark MatterFeb 01 2016Feb 18 2016We investigate the possibility that the dark matter candidate is from a pure non-abelian gauge theory of the hidden sector, motivated in large part by its elegance and simplicity. The dark matter is the lightest bound state made of the confined gauge ... More