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Nematic orders and nematicity-driven topological phase transition in FeSeMar 07 2016We investigate nematic states in both bulk FeSe and FeSe thin films. It is found that their band structures and signature features that were observed in a variety of experiments can be perfectly explained by introducing the $d$-wave nematic orders that ... More

Magnetism in Quasi-One-Dimensional A$_2$Cr$_3$As$_3$ (A=K,Rb) superconductorsJan 02 2015Apr 21 2015We predict that the recently discovered quasi-one dimensional superconductors, A$_2$Cr$_3$As$_3$(A=K,Rb), possess strong frustrated magnetic fluctuations and are nearby a novel in-out co-planar magnetic ground state. The frustrated magnetism is very sensitive ... More

Experimental consequences of $p_z$-wave spin triplet superconductivity in A$_2$Cr$_3$As$_3$Jul 27 2015Aug 03 2015The experimental observable properties of the triplet $p_z$-wave pairing state, proposed by Wu {\em et al.} [arXiv:1503.06707] in quasi-one dimensional A$_2$Cr$_3$As$_3$ materials, are theoretically investigated. This pairing state is characterized by ... More

Topological Characters in Fe(Te$_{1-x}$Se$_x$) thin filmsDec 10 2014We investigate topological properties in the Fe(Te,Se) thin films. We find that the single layer FeTe$_{1-x}$Se$_x$ has nontrivial $Z_2$ topological invariance which originates from the parity exchange at $\Gamma$ point of Brillouin zone. The nontrivial ... More

Magnetic ordering and multiferroicity in MnI$_2$Feb 09 2012Nov 24 2012Density-functional calculations are carried out to investigate incommensurate magnetic structures and ferroelectric polarization in newly discovered multiferroic material MnI$_2$. The exchange interactions among local moments on Mn are parameterized by ... More

Visualizing Band Offsets and Edge States in Bilayer-Monolayer Transition Metal Dichalcogenides Lateral HeterojunctionDec 05 2015Semiconductor heterostructures are fundamental building blocks for many important device applications. The emergence of two-dimensional semiconductors opens up a new realm for creating heterostructures. As the bandgaps of transition metal dichalcogenides ... More

Direct observation of multiple topological phases in the iron-based superconductor Li(Fe,Co)AsMar 02 2018Topological insulators/semimetals and unconventional iron-based superconductors have attracted major attentions in condensed matter physics in the past 10 years. However, there is little overlap between these two fields, although the combination of topological ... More

FeTe$_{1-x}$Se$_{x}$ monolayer films: towards the realization of high-temperature connate topological superconductivityJan 26 2017We performed angle-resolved photoemission spectroscopy studies on a series of FeTe$_{1-x}$Se$_{x}$ monolayer films grown on SrTiO$_{3}$. The superconductivity of the films is robust and rather insensitive to the variations of the band position and effective ... More

Mechanism for Odd Parity Superconductivity in Iron-Based SuperconductorsMar 11 2013Mar 15 2013Under the assumption that superconducting pairing is driven by local d-p hybridization, we show that the superconducting state in iron-based superconductors is classified as an odd parity s-wave spin-singlet pairing state in a single trilayer FeAs/Se, ... More

Electronic structure properties in the nematic phases of FeSeOct 14 2015We investigate the electronic structures of FeSe in the presence of different possible orders. We find that only ferro-orbital order (FO) and collinear antiferro-magnetism (C-AFM) can simultaneously induce splittings at $\Gamma$ and M. Bicollinear antiferro-magnetism ... More

Dense network of one-dimensional mid-gap metallic modes in monolayer MoSe2 and their spatial undulationsJul 22 2014We report the observation of a dense triangular network of one-dimensional (1D) metallic modes in a continuous and uniform monolayer of MoSe2 grown by molecular-beam epitaxy. High-resolution transmission electron microscopy and scanning tunneling microscopy ... More

$g$-wave Pairing in BiS$_2$ SuperconductorsMar 24 2014Nov 03 2014Recent angle resolved photoemission spectroscopy(ARPES) experiments have suggested that BiS$_2$ based superconductors are at very low electron doping. Using random phase approximation(RPA) and functional renormalization group(FRG) methods, we find that ... More

Pairing Symmetry in Layered BiS$_2$ Compounds Driven by Electron-Electron CorrelationNov 23 2012Apr 17 2014We investigate the pairing symmetry of layered BiS$_2$ compounds by assuming that electron-electron correlation is still important so that the pairing is rather short range. We find that the extended s-wave pairing symmetry always wins over d-wave when ... More

Loop Current and Orbital Magnetism in Pyrite-Type $Ir_{3}Ch_{8}$ ($Ch=Se,Te$)Aug 21 2013Aug 23 2013We study the parent compound of the pyrite-type $Ir_{x}Ch_{2}$ iridium chalcogenide superconductors, $Ir_{0.75}Ch_{2}$ (or $Ir_{3}Ch_{8}$). While the lattice structure of the material is rather complicated, we show that the electron physics near the Fermi ... More

Triplet $p_z$-wave pairing in quasi one dimensional A$_2$Cr$_3$As$_3$ superconductorsMar 23 2015Sep 19 2015We construct minimum effective models to investigate the pairing symmetry in the newly discovered quasi-one-dimensional superconductor K$_2$Cr$_3$As$_3$. We show that a minimum three-band model based on the $d_{z^2}$, $d_{xy}$ and $d_{x^2-y^2}$ orbitals ... More

High-$T_c$ Superconductor Fe(Se,Te) Monolayer: an Intrinsic, Scalable and Electrically-tunable Majorana PlatformMay 25 2019A monolayer of the high-$T_c$ superconductor FeTe$_{1-x}$Se$_x$ has been predicted to realize a topologically non-trivial state with helical edge modes at its boundary, providing a novel intrinsic system to search for topological superconductivity and ... More

Topological Critical Materials of Ternary CompoundsJun 20 2018We review topological properties of two series of ternary compounds AMgBi (A=K, RB, Cs) and ABC with a hexagonal ZrBeSi type structure. The first series of materials AMgBi are predicted to be topological critical Dirac semimetals. The second series of ... More

Nodeless high-T$_c$ superconductivity in highly-overdoped monolayer CuO$_2$Apr 13 2018Nov 30 2018We study the electronic structure and superconductivity in CuO$_2$ monolayer grown recently on $d$-wave cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. Density functional theory calculations indicate significant charge transfer across the interface ... More

Hybrid Crystals of Cuprates and Iron-Based SuperconductorsJan 13 2016We propose two possible new compounds, Ba$_2$CuO$_2$Fe$_2$As$_2$ and K$_2$CuO$_2$Fe$_2$Se$_2$, which hybridize the building blocks of two high temperature superconductors, cuprates and iron-based superconductors. These compounds consist of square CuO$_2$ ... More

Bell inequality of frequency-bin entangled photon pairs with time-resolved detectionSep 08 2016Entanglement, describing the inseparability of a quantum multiparty system, is one of the most intriguing features of quantum mechanics. Violation of Bell inequality, for ruling out the possibility of local hidden variable theories, is commonly used as ... More

Three-dimensional Critical Dirac semimetal in KMgBiJun 16 2016We predicted that AMgBi (A=K,Rb Cs), which have the same lattice structures as the 111 family of iron-based superconductors (Na/LiFeAs), are symmetry-protected Dirac semimetals located near the boundary of type-I and type-II Dirac semimetal phases. Doping ... More

Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) HeterostructuresMay 25 2019We show theoretically that a heterostructure of monolayer FeTe$_{1-x}$Se$_x$ - a superconducting quantum spin Hall material - with a monolayer of FeTe - a bicollinear antiferromagnet - realizes a higher order topological superconductor phase characterized ... More

Revisitation of superconductivity in K$_2$Cr$_3$As$_3$ based on the six-band modelDec 01 2015We investigate the pairing symmetry of the newly synthesized quasi-one-dimension K$_2$Cr$_3$As$_3$ superconductor based on the six-band model. We adopt standard random-phase-approximation to study the Hubbard-Hund model of the system. Our results confirm ... More

Substrate-supported triplet superconductivity in Dirac semimetalsSep 11 2018Stimulated by the success of graphene and its emerging Dirac physics, the quest for versatile and tunable electronic properties in atomically thin systems has led to the discovery of various chemical classes of 2D compounds. In particular, honeycomb lattices ... More

Three-dimensional Critical Dirac semimetal in KMgBiJun 16 2016Dec 08 2016We predicted that AMgBi (A=K,Rb Cs), which have the same lattice structures as the 111 family of iron-based superconductors (Na/LiFeAs), are symmetry-protected Dirac semimetals located near the boundary of type-I and type-II Dirac semimetal phases. Doping ... More

Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) HeterostructuresMay 25 2019Jun 12 2019We show theoretically that a heterostructure of monolayer FeTe$_{1-x}$Se$_x$ - a superconducting quantum spin Hall material - with a monolayer of FeTe - a bicollinear antiferromagnet - realizes a higher order topological superconductor phase characterized ... More

Unconventional superconductivity in a doped quantum spin Hall insulatorNov 05 2018A monolayer of jacutingaite (Pt$_2$HgSe$_3$) has recently been identified as a novel quantum spin Hall insulator. By first-principles calculations, we study its Fermiology in the doped regime and unveil a type-I and type-II van Hove singularity for hole ... More

Topological phase in non-centrosymmetric material NaSnBiNov 05 2016We predict that a non-centrosymmetric material NaSnBi locates in a three-dimensional non-trivial topological phase under ambient pressure based on first-principle calculations. By deriving the effective model around $\Gamma$ point, we find that the topological ... More

$β$-CuI: a Dirac semimetal without surface Fermi arcsJan 17 2018Anomalous surface states with Fermi arcs are commonly considered to be a fingerprint of Dirac semimetals (DSMs). In contrast to Weyl semimetals, however, Fermi arcs of DSMs are not topologically protected. Using first-principles calculations, we predict ... More

$d+id$ chiral superconductivity in a triangular lattice from trigonal bipyramidal complexesJan 08 2018We model the newly predicted high-$T_c$ superconducting candidates constructed by corner-shared trigonal bipyramidal complexes with an effective three-orbital tight-banding Hamiltonian and investigate the pairing symmetry of their superconducting states ... More

Staggered FeSe Monolayer on SrTiO$_3$ (110) surfaceJan 15 2016We investigate the electronic and magnetic properties of FeSe monolayer on the anisotropic SrTiO$_3$ (110) surface. With compressive strain along $[1\bar{1}0]$ direction from the substrate, the monolayer FeSe possesses a staggered bipartite iron lattice ... More

CaFeAs$_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature SuperconductivityMay 25 2014Mar 03 2015We predict that CaFeAs$_2$, a newly discovered iron-based high temperature (T$_c$) superconductor, is a staggered intercalation compound that integrates topological quantum spin hall (QSH) and superconductivity (SC). CaFeAs$_2$ has a structure with staggered ... More

The effect of As-Chain layers in CaFeAs$_2$Feb 19 2014The new discovered iron-based superconductors have chain-like As layers. These layers generate an additional 3-dimensional hole pocket and cone-like electron pockets. The former is attributed to the Ca $d$ and As1 $p_z$ orbitals and the latter are attributed ... More

Topological Vortex Phase Transitions in Iron-Based SuperconductorsJan 10 2019We study topological vortex phases in iron-based superconductors. Besides the previously known vortex end Majorana zero modes (MZMs) phase stemming from the existence of a three dimensional (3D) strong topological insulator state, we show that there is ... More

Origin of the pressure-dependent T$_c$ valley in superconducting simple cubic phosphorusDec 18 2017Motivated by recent experiments, we investigate the pressure-dependent electronic structure and electron-phonon (\emph{e-ph}) coupling for simple cubic phosphorus by performing first-principle calculations within the full potential linearized augmented ... More

Distinct surface and bulk charge density waves in ultrathin 1T-TaS2Mar 07 2016We employ low-frequency Raman spectroscopy to study the nearly commensurate (NC) to commensurate (C) charge density wave (CDW) transition in 1T-TaS2 ultrathin flakes protected from oxidation. We identify new modes that originate from C phase CDW phonons ... More

Ultrafast electron calorimetry uncovers a new long-lived metastable state in 1T-TaSe$_2$ mediated by mode-selective electron-phonon couplingJan 24 2019Quantum materials represent one of the most promising frontiers in the quest for faster, lightweight, energy efficient technologies. However, their inherent complexity and rich phase landscape make them challenging to understand or manipulate in useful ... More

Distinct surface and bulk charge density waves in ultrathin 1T-TaS2Mar 07 2016Nov 14 2016We employ low-frequency Raman spectroscopy to study the nearly commensurate (NC) to commensurate (C) charge density wave (CDW) transition in 1T-TaS2 ultrathin flakes protected from oxidation. We identify new modes originating from C phase CDW phonons ... More

Correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)Mar 05 2016Nov 07 2016Non-centrosymmetric superconductors, whose crystal structure is absent of inversion symmetry, have recently received special attentions due to the expectation of unconventional pairings and exotic physics associated with such pairings. The newly discovered ... More

Positive correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)Mar 05 2016Non-centrosymmetric superconductors, whose crystal structure is absent of inversion symmetry, have recently received special research attentions due to the expectation of unconventional pairings and exotic physics associated with such pairings. However, ... More

High-throughput investigation of tunable superconductivity in FeSe filmsJul 03 2018There is an ongoing debate about the relative importance of structural change versus doping charge carriers on the mechanism of superconductivity in Fe-based materials. Elucidating this issue is a major challenge since it would require a large number ... More

Room Temperature Continuous-wave Excited Biexciton Emission in CsPbBr3 NanocrystalsApr 17 2018Biexcitons are a manifestation of many-body excitonic interactions crucial for quantum information and quantum computation in the construction of coherent combinations of quantum states. However, due to their small binding energy and low transition efficiency, ... More

Bell inequality of frequency-bin entangled photon pairs with time-resolved detectionSep 08 2016Oct 12 2016Entanglement, describing the inseparability of a quantum multiparty system, is one of the most intriguing features of quantum mechanics. Violation of Bell inequality, for ruling out the possibility of local hidden variable theories, is commonly used as ... More

Quantum Criticality of the Two-dimensional Bose Gas with the Lifshitz dispersionSep 14 2015Bosonic systems with the synthetic spin-orbit coupling and Zeeman field can be tuned into a quantum Lifshitz point exhibiting the $q^4$-dispersion. They are fundamentally different from the conventional ones with the $q^2$-dispersion, and are also connected ... More

Designing optimal quantum cloning machine for qubit systemApr 29 2010Following the work of Niu and Griffiths, in \emph{Phys.Rev.A 58, 4377(1998)}, we shall investigate the problem, how to design the optimal quantum cloning machines (QCMs) for qubit system, with the help of Bloch-sphere representation. In stead of the quality ... More

Modelling Data Dispersion Degree in Automatic Robust Estimation for Multivariate Gaussian Mixture Models with an Application to Noisy Speech ProcessingMay 19 2014The trimming scheme with a prefixed cutoff portion is known as a method of improving the robustness of statistical models such as multivariate Gaussian mixture models (MG- MMs) in small scale tests by alleviating the impacts of outliers. However, when ... More

Mean Values for a Class of Arithmetic Functions in Short IntervalsJul 24 2018In this paper, we shall establish a rather general asymptotic formula in short intervals for a classe of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of ... More

Multiple topological states in iron-based superconductorsSep 25 2018Topological insulators and semimetals as well as unconventional iron-based superconductors have attracted major recent attention in condensed matter physics. Previously, however, little overlap has been identified between these two vibrant fields, even ... More

Topological Dirac semimetal phase in the iron-based superconductor Fe(Te,Se)Mar 02 2018Topological Dirac semimetals (TDSs) exhibit bulk Dirac cones protected by time reversal and crystal symmetry, as well as surface states originating from non-trivial topology. While there is a manifold possible onset of superconducting order in such systems, ... More

The $k$-tuple Prime Difference ChampionOct 30 2017Jan 03 2018Let $D_{k}$ be a set with $k$ distinct elements of integers such that $d_{1}<d_{2}<\cdots<d_{k}$. We say $D_{k}^{*}$ is a $k$-tuple prime difference champion ($k$-tuple PDC) for primes $\le x$ if the set $D_{k}^{*}$ is the most probable differences among ... More

High-throughput investigation of tunable superconductivity in FeSe filmsJul 03 2018Mar 11 2019There is an ongoing debate about the relative importance of structural change versus doping charge carriers on the mechanism of superconductivity in Fe-based materials. Elucidating this issue is a major challenge since it would require a large number ... More

Age Based Task Scheduling and Computation Offloading in Mobile-Edge Computing SystemsMay 28 2019To support emerging real-time monitoring and control applications, the timeliness of computation results is of critical importance to mobile-edge computing (MEC) systems. We propose a performance metric called age of task (AoT) based on the concept of ... More

Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusionMar 30 2017This paper establishes the global existence and uniqueness of smooth solutions to the two-dimensional compressible magnetohydrodynamic system when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various ... More

A Simple Dual-decoder Model for Generating Response with SentimentMay 16 2019How to generate human like response is one of the most challenging tasks for artificial intelligence. In a real application, after reading the same post different people might write responses with positive or negative sentiment according to their own ... More

Response of initial field to stiffness perturbationMar 18 2014Mar 19 2014Response of initial elastic field to stiffness perturbation and its possible application is investigated. Virtual thermal softening is used to produce the stiffness reduction for demonstration. It is interpreted that the redistribution of the initial ... More

Image Based Camera Localization: an OverviewOct 12 2016Recently, virtual reality, augmented reality, robotics, self-driving cars et al attractive much attention of industrial community, in which image based camera localization is a key task. It is urgent to give an overview of image based camera localization. ... More

Physical-Constraints-Preserving Methods for General Relativistic Hydrodynamics: Theoretical AnalysisOct 20 2016This paper presents the theoretical analysis for establishing the general framework of constructing high-order accurate physical-constraints-preserving (PCP) methods for general relativistic hydrodynamic (GRHD) equations with a general equation of state. ... More

Hermitian u-invariants over function fields of p-adic curvesDec 22 2015Apr 08 2016Let $p$ be an odd prime. Let $F$ be the function field of a $p$-adic curve. Let $A$ be a central simple algebra of period 2 over $F$ with an involution $\sigma$. There are known upper bounds for the $u$-invariant of hermitian forms over $(A, \sigma)$. ... More

On a Critical Case of Rallis Inner Product FormulaMar 14 2016Let $\pi$ be a genuine cuspidal representation of the metaplectic group of rank $n$. We consider the theta lifts to the orthogonal group associated to a quadratic space of dimension $2n+1$. We show a case of regularised Rallis inner product formula that ... More

Single Top Production at the TevatronMay 16 2012We present recent results of single top quark production in the lepton plus jet final state, performed by the CDF and D0 collaborations based on 7.5 and 5.4/fb of ppbar collision data collected at sqrt(s) = 1.96 TeV from the Fermilab Tevatron collider. ... More

Shear softening of Earth's inner core indicated by its high Poisson's ratio and elastic anisotropyNov 01 2016Earth's inner core exhibits an unusually high Poisson's ratio and noticeable elastic anisotropy. The mechanisms responsible for these features are critical for understanding the evolution of the Earth but remain unclear. This study indicates that once ... More

A costly Bayesian implementable social choice function may not be truthfully implementableSep 13 2016Oct 12 2016The revelation principle is a fundamental theorem in many economics fields. In this paper, we construct a simple labor model to show that a social choice function which can be implemented costly in Bayesian Nash equilibrium may not be truthfully implementable. ... More

Path Integral Quantization of Quantum Gauge General RelativityDec 16 2008Path integral quantization of quantum gauge general relativity is discussed in this paper. First, we deduce the generating functional of green function with external fields. Based on this generating functional, the propagators of gravitational gauge field ... More

Equation of Motion of a Spinning Test Particle in Gravitational FieldAug 08 2006Based on the coupling between the spin of a particle and gravitoelectromagnetic field, the equation of motion of a spinning test particle in gravitational field is deduced. From this equation of motion, it is found that the motion of a spinning particle ... More

Gauge Model With Massive GravitonsJul 01 2003Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the original model, ... More

Gauge Theory of GravitySep 19 2001Oct 30 2001The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field appears as gauge field. The problems on quantization and renormalization of ... More

BES R measurements and $J/ψ$ decaysApr 28 2001R measurement results in 2--5 GeV region by BESII is reported in this talk. The study on $\sigma$ particle in $J/\psi \to \omega \pi^+ \pi^-$, based on $7.8 \times 10^6$ BESI $J/\psi$ data, is also reported.

General Gauge Field Theory And Its ApplicationJul 19 1998A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In order to introduce the mass term of gauge fields directly without violating ... More

An electroweak model without Higgs particleJun 23 1998In this paper, applying general gauge field theory, we will construct an electroweak model. In this new electroweak model, Higgs mechanism is not used, so no Higgs particle exists in the model. In order to keep the masses of intermediate gauge bosons ... More

General Gauge Field TheoryMay 26 1998Jun 03 1998In this paper, we will construct a gauge field model, in which the masses of gauge fields are non-zero and the local gauge symmetry is strictly preserved. A SU(N) gauge field model is discussed in details in this paper. In the limit $\alpha \longrightarrow ... More

Vanishing and injectivity theorems for Hodge modulesMay 05 2015May 07 2015We prove a surjectivity theorem for the Deligne canonical extension of a polarizable variation of Hodge structure with quasi-unipotent monodromy at infinity along the lines of Esnault-Viehweg. We deduce from it several injectivity theorems and vanishing ... More

Chiral Symmetry Breaking for Domain Wall Fermions in Quenched Lattice QCDOct 31 2000The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a single residual ... More

Burgess-like subconvexity for $GL_1$Apr 28 2016Oct 17 2016We generalize our previous method on subconvexity problem for $GL_2 \times GL_1$ with cuspidal representations to Eisenstein series, and deduce a Burgess-like subconvex bound for Hecke characters, i.e. the bound $|L(1/2,\chi)| \ll_{\mathbf{F},\epsilon} ... More

Aligning a Parallel English-Chinese Corpus Statistically with Lexical CriteriaJun 02 1994We describe our experience with automatic alignment of sentences in parallel English-Chinese texts. Our report concerns three related topics: (1) progress on the HKUST English-Chinese Parallel Bilingual Corpus; (2) experiments addressing the applicability ... More

Non-equilibrium BBGKY Hierarchy from the Redfield EquationApr 06 2010A BBGKY-like hierarchy is derived from the non-equilibrium Redfield equation. Two further approximations are introduced and each can be used to truncate and solve the hierarchy. In the first approximation such a truncation is performed by replacing two-particle ... More

Measurements of cosmic ray antiprotons with PAMELA and studies of propagation modelsMay 22 2012Studying the acceleration and propagation mechanisms of Galactic cosmic rays can provide information regarding astrophysical sources, the properties of our Galaxy, and possible exotic sources such as dark matter. To understand cosmic ray acceleration ... More

A new characterization of geodesic spheres in the Hyperbolic spaceMay 13 2013This paper gives a new characterization of geodesic spheres in the hyperbolic space in terms of a ``weighted'' higher order mean curvature. Precisely, we show that a compact hypersurface $\Sigma^{n-1}$ embedded in $\H^n$ with $VH_k$ being constant for ... More

The revelation principle does not always hold when strategies of agents are costlySep 13 2016Oct 19 2018The revelation principle asserts that for any indirect mechanism and equilibrium, there is a corresponding direct mechanism with truth as an equilibrium. Although the revelation principle has been a fundamental theorem in the theory of mechanism design ... More

On the notion of Bayesian Nash equilibrium of a mechanism when strategies of agents are costly actionsSep 13 2016Apr 03 2019In the framework of mechanism design theory, a designer constructs a mechanism to implement a desired social choice function in Bayesian Nash equilibrium which specifies her favorite outcome for each possible profile of agents' types. Generally speaking, ... More

Holographic entanglement entropy and thermodynamic instability of planar R-charged black holesJan 13 2014Jan 19 2014The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the single-charge ... More

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer grapheneNov 26 2018Nov 30 2018We study $d$-wave superconductivity in twisted bilayer graphene and reveal new phenomena that arise due to the moir\'e superlattice. In the $d$-wave pairing, the relative motion (RM) of two electrons in a Cooper pair can have either $d_+$ or $d_-$ symmetry ... More

Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2Sep 24 2007For every even integer N, denote by D_{1,2}(N) the number of representations of N as a sum of a prime and an integer having at most two prime factors. In this paper, we give a new lower bound for D_{1,2}(N).

Wellposedness of the 2D full water wave equation in a regime that allows for non-$C^1$ interfacesMar 22 2018We consider the two dimensional gravity water wave equation in a regime where the free interface is allowed to be non-$C^1$. In this regime, only a degenerate Taylor inequality $-\frac{\partial P}{\partial \bf n}\ge 0$ holds, with degeneracy at the singularities. ... More

A Note on Higher Cohomology Groups of Kähler QuotientsSep 30 1998Consider a holomorphic torus action on a possibly non-compact K\"ahler manifold. We show that the higher cohomology groups appearing in the geometric quantization of the symplectic quotient are isomorphic to the invariant parts of the corresponding cohomology ... More

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer grapheneNov 26 2018May 07 2019We study $d$-wave superconductivity in twisted bilayer graphene and reveal phenomena that arise due to the moir\'e superlattice. In the $d$-wave pairing, the relative motion (RM) of two electrons in a Cooper pair can have either $d+id$ or $d-id$ symmetry ... More

Governing Equations of Compressible TurbulenceDec 15 2004Apr 09 2005By the nonstandard analysis theory of turbulence, the governing equations of compressible turbulence are given. The equations can hold at non-uniform points, in fact, are new kind of equations. There are three choices. In the choice one, the second-order ... More

Regular path queries on graphs with data: A rigid approachFeb 25 2014Regular path queries (RPQ) is a classical navigational query formalism for graph databases to specify constraints on labeled paths. Recently, RPQs have been extended by Libkin and Vrgo$\rm \check{c}$ to incorporate data value comparisons among different ... More

Stability of stochastic differential equations with respect to time-changed Brownian motionsFeb 26 2016In this paper, the stability behaviors of stochastic differential equations (SDEs) driven by time-changed Brownian motions are discussed. Based on the generalized Lyapunov method and stochastic analysis, necessary conditions are provided for solutions ... More

The Model Of Paths For Generalized Kac-Moody AlgebrasSep 13 2008Sep 17 2008This submission has been withdrawn by arXiv administrators because of inappropriate authorship claims.

The direct scattering problem for the perturbed $\textrm{Gr}(1, 2)_{\ge 0}$ Kadomtsev-Petviashvili solitonsMay 14 2019Regular Kadomtsev-Petviashvili (KP) solitons have been investigated and classified successfully by the Grassmannian. We provide rigorous analysis for the direct scattering problem of perturbed $\textrm{Gr}(1, 2)_{\ge 0}$ KP solitons.

On Brunnian-type links and the link invariants given by homotopy groups of spheresSep 27 2009Oct 04 2009We introduce the (general) homotopy groups of spheres as link invariants for Brunnian-type links through the investigations on the intersection subgroup of the normal closures of the meridians of strongly nonsplittable links. The homotopy groups measure ... More

A note on time hierarchies for reasonable semantic classes without adviceNov 29 2017Dec 01 2017We show time hierarchies for reasonable semantic classes without advice by eliminating the constant bits of advice in previous results.The elimination is done by a contrapositive argument that for any reasonable computational model,let $\text{CTIME}(f(n))/{g(n)}$ ... More

Profitable Bayesian implementation in one-shot mechanism settingsDec 26 2018Jun 01 2019In the mechanism design theory, a designer would like to implement a desired social choice function which specifies her favorite outcome for each possible profile of all agents' types. Traditionally, the designer may be in a dilemma in the sense that ... More

The Computational Principles of Learning AbilitySep 23 2015It has been quite a long time since AI researchers in the field of computer science stop talking about simulating human intelligence or trying to explain how brain works. Recently, represented by deep learning techniques, the field of machine learning ... More

Conformal Restriction and Brownian MotionSep 05 2014Oct 09 2015We review some of the results related to conformal restriction: the chordal case and the radial case. We describe Brownian intersection exponents, conformal restriction property and SLE, and study their properties.

Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary conditionApr 26 2012This paper is concerned with the asymptotic behavior of the solution to the semilinear parabolic equation with dynamical boundary condition. Our main goal is to prove the convergence of a global solution to an equilibrium as time goes to infinity by means ... More

On the occupation times of Brownian excursions and Brownian loopsAug 01 2012We study properties of occupation times by Brownian excursions and Brownian loops in two-dimensional domains. This allows for instance to interpret some Gaussian fields, such as the Gaussian Free Fields as (properly normalized) fluctuations of the total ... More

Traditional sufficient conditions for Nash implementation may fail on InternetJun 06 2012The Maskin's theorem is a fundamental work in the theory of mechanism design. In this paper, we propose that if agents report messages to the designer through channels (e.g., Internet), agents can construct a self-enforcing agreement such that any Pareto-inefficient ... More

Dynkin game under ambiguity in continuous timeJul 16 2011In this paper, we want to investigate some kind of Dynkin's game under ambiguity which is represented by Backward Stochastic Differential Equation (shortly BSDE) with standard generator function g(t, y, z). Under regular assumptions, a pair of saddle ... More