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Results for "Shiping Liu"

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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
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
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
Magnetic sparseness and Schrödinger operators on graphsNov 28 2017We study magnetic Schr\"odinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnetic sparse turn out to be equivalent to the fact that the form domain ... 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
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
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 2014Feb 09 2018We derive 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
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
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
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
Cheeger constants, structural balance, and spectral clustering analysis for signed graphsNov 13 2014Dec 08 2017We 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
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
Cheeger constants, structural balance, and spectral clustering analysis for signed graphsNov 13 2014Mar 10 2019We 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
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
Sobolev spaces and trace theorem on the Sierpinski gasketMar 17 2019Mar 19 2019On the Sierpinski gasket $\mathcal{SG}$, we consider Sobolev spaces $L^2_\sigma(\mathcal{SG})$ associated with the standard Laplacian $\Delta$ with order $\sigma\geq 0$. When $\sigma\in\mathbb{Z}^+$, $L^2_\sigma(\mathcal{SG})$ consists of functions equipped ... More
Dirichlet forms on self-similar sets with overlapsJun 24 2018We study Dirichlet forms and Laplacians on self-similar sets with overlaps. A notion of "finitely ramified of finite type($f.r.f.t.$) nested structure" for self-similar sets is introduced. It allows us to reconstruct a class of self-similar sets in a ... More
A topological proof of the non-degeneracy of harmonic structures on Sierpinski GasketsMar 03 2017Nov 09 2017We present a direct proof of the non-degeneracy of the harmonic structures on the level-$n$ Sierpinski gaskets for any $n\geq 2$, which was conjectured by Hino in [H1,H2] and confirmed to be true by Tsougkas [T] very recently using Tutte's spring theorem. ... 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
Bakry-Émery curvature functions of graphsJun 05 2016Aug 15 2017We 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
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
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
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
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
Liouville theorems for $f$-harmonic maps into Hadamard spacesMay 02 2013May 27 2017In 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.
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
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
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.
Rigidity properties of the hypercube via Bakry-Emery curvatureMay 18 2017We give rigidity results for the discrete Bonnet-Myers diameter bound and the Lichnerowicz eigenvalue estimate. Both inequalities are sharp if and only if the underlying graph is a hypercube. The proofs use well-known semigroup methods as well as new ... More
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
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
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
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.
A note on eigenvalue bounds for non-compact manifoldsJun 08 2017We study non-compact manifolds whose sectional curvature tends to $ -\infty $. By a theorem of Donelly/Li this implies pure discrete spectrum of the Laplacian. We prove upper bounds for the eigenvalues $ \lambda_{k} $ of the Laplacian in terms of $ k^{2} ... More
Distance bounds for graphs with some negative Bakry-Émery curvatureMay 23 2017We prove distance bounds for graphs possessing positive Bakry-\'Emery curvature apart from an exceptional set, where the curvature is allowed to be non-positive. If the set of non-positively curved vertices is finite, then the graph admits an explicit ... 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
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
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
Pseudogap-induced anisotropic suppression of electronic Raman response in cuprate superconductorsJan 03 2017Mar 27 2017It has become clear that the anomalous properties of cuprate superconductors are intimately related to the formation of a pseudogap. Within the framework of the kinetic-energy-driven superconducting mechanism, the effect of the pseudogap on the electronic ... More
Interplay between charge order and superconductivity in cuprate superconductorsMar 19 2018One of the central issues in the recent study of cuprate superconductors is the interplay of charge order with superconductivity. Here the interplay of charge order with superconductivity in cuprate superconductors is studied based on the kinetic-energy-driven ... More
Distance bounds for graphs with some negative Bakry-Émery curvatureMay 23 2017Mar 23 2019We prove distance bounds for graphs possessing positive Bakry-\'Emery curvature apart from an exceptional set, where the curvature is allowed to be non-positive. If the set of non-positively curved vertices is finite, then the graph admits an explicit ... 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
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
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
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
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
Curvature calculations for antitreesJan 29 2018In this article we prove that antitrees with suitable growth properties are examples of infinite graphs exhibiting strictly positive curvature in various contexts: in the normalized and non-normalized Bakry-\'Emery setting as well in the Ollivier-Ricci ... 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
Ollivier-Ricci idleness functions of graphsApr 14 2017Jul 04 2017We study the Ollivier-Ricci curvature of graphs as a function of the chosen idleness. We show that this idleness function is concave and piecewise linear with at most $3$ linear parts, with at most $2$ linear parts in the case of a regular graph. We then ... 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
Doping and momentum dependence of coupling strength in cuprate superconductorsMar 03 2019Superconductivity is caused by the interaction between electrons by the exchange of collective bosonic excitations, however, this bosonic glue forming electron pairs is manifested itself by the coupling strength of the electrons to collective bosonic ... More
Autocorrelation of quasiparticle spectral intensities and its connection with quasiparticle scattering interference in cuprate superconductorsOct 21 2018Nov 29 2018The quasiparticle excitation is one of the most fundamental and ubiquitous physical observables in cuprate superconductors, carrying information about the bosonic glue forming electron pairs. Here the autocorrelation of the quasiparticle excitation spectral ... More
Hidden pair-density-wave order in cuprate superconductorsJul 01 2018Nov 26 2018When the Mott insulating state is suppressed by charge carrier doping, the pseudogap phenomenon emerges, where at the low-temperature limit, superconductivity coexists with some ordered electronic states. Within the framework of the kinetic-energy-driven ... 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
Impurity-induced bound states as a signature of pairing symmetry in multiband superconducting CeCu$_{2}$Si$_{2}$Feb 08 2018Mar 15 2018Multiband superconductivity with dominant two-gap features are recently proposed to challenge the earlier accepted nodal $d$-wave pairing in the first unconventional superconductor CeCu$_{2}$Si$_{2}$. Here we obtain multiband Fermi-surface topology of ... 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
Bosonic edge states in gapped honeycomb latticesDec 04 2015Feb 19 2016By quantum Monte Carlo simulations of bosons in gapped honeycomb lattices, we show the existence of bosonic edge states. For single layer honeycomb lattice, bosonic edge states can be controlled to appear, cross the gap and merge into bulk states by an ... More
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvatureJul 06 2018We introduce the notion of Bonnet-Myers and Lichnerowicz sharpness in the Ollivier Ricci curvature sense. Our main result is a classification of all self-centered Bonnet-Myers sharp graphs (hypercubes, cocktail party graphs, even-dimensional demi-cubes, ... More
Comparative analysis of two discretizations of Ricci curvature for complex networksDec 20 2017Jun 09 2018We have performed an empirical comparison of two distinct notions of discrete Ricci curvature for graphs or networks, namely, the Forman-Ricci curvature and Ollivier-Ricci curvature. Importantly, these two discretizations of the Ricci curvature were developed ... 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
Erratum for Ricci-flat graphs with girth at least fiveFeb 08 2018May 08 2019This erratum will correct the classification of Theorem 1 in Lin-Lu-Yau, Comm. Anal. Geom., 2014, that misses the Triplex graph.
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
A Trace Theorem For Sobolev Spaces On The Sierpinski GasketMay 08 2019We give a discrete characterization of the trace of a class of Sobolev spaces on the Sierpinski gasket to the bottom line. This includes the L2 domain of the Laplacian as a special case. In addition, for Sobolev spaces of low orders, including the domain ... More
Erratum for Ricci-flat graphs with girth at least fiveFeb 08 2018This erratum will correct the classification of Theorem 1 in Lin-Lu-Yau, Comm. Anal. Geom., 2014, that misses the Triplex graph.
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
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
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
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
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
Solitons and vortices in an evolving Bose-Einstein condensateNov 06 2008Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves results in spiral ... More
Boundary Value Problems for harmonic functions on domains in Sierpinski gasketsFeb 08 2017We study boundary value problems for harmonic functions on certain domains in the level-$l$ Sierpinski gaskets $\mathcal{SG}_l$($l\geq 2$) whose boundaries are Cantor sets. We give explicit analogues of the Poisson integral formula to recover harmonic ... 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
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
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
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
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
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
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
Doping dependence of charge order in electron-doped cuprate superconductorsMay 31 2017Sep 25 2017In the recent studies of the unconventional physics in cuprate superconductors, one of the central issues is the interplay between charge order and superconductivity. Here the mechanism of the charge-order formation in the electron-doped cuprate superconductors ... 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
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
Giant vortex and Skyrmion in a rotating two-species Bose-Einstein condensateDec 18 2007Numerical simulations are performed for a rotating two-species Bose condensate confined by a harmonic potential. The particle numbers of each species are unequal. When the rotational speed exceeds a critical value, the majority species reside in the center ... More
Optical synthetic sampling imaging: concept and an example of microscopyMay 09 2019Digital two-dimensional (2D) spatial sampling devices (such as charge-coupled device) have been widely used in various imaging systems, especially in computational imaging systems. However, the undersampling of digital sampling devices is a problem that ... 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
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
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
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
Atomic decompositions and Besov type characterizations of Sobolev spaces on p.c.f. fractalsMar 31 2019We consider the Sobolev type spaces $L^2_\sigma(K)$ with $\sigma\geq 0$ on post critically finite self-similar fractals with regular harmonic structures. We present a general atomic decomposition theorem, as well as various other Besov type equivalent ... 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
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
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