Lattice models, deformed Virasoro algebra and reduction equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab81d6
Abstract: We study the fused currents of the deformed Virasoro algebra (DVA). By constructing a homotopy operator we show that for special values of the parameter of the algebra fused currents pairwise coincide on the cohomologies… read more here.
Keywords: deformed virasoro; virasoro algebra; algebra; models deformed ... See more keywords
Finding local integrals of motion in quantum lattice models in the thermodynamic limit
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/brst-wp36
Abstract: Local integrals of motion (LIOMs) play a key role in understanding the long-time properties of closed macroscopic systems. They were found for selected integrable systems via complex analytical calculations. The existence of LIOMs and their… read more here.
Keywords: integrals motion; thermodynamic limit; local integrals; lattice models ... See more keywords
Fragmented exceptional points and their bulk and edge realizations in lattice models
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/jy2b-4hk5
Abstract: Exceptional points (EPs) are spectral defects displayed by non-Hermitian systems in which multiple degenerate eigenvalues share a single eigenvector. This distinctive feature makes systems exhibiting EPs more sensitive to external perturbations than their Hermitian counterparts,… read more here.
Keywords: exceptional points; non hermitian; bulk edge; fragmented exceptional ... See more keywords
Quantized thermal Hall conductance from edge current calculations in lattice models
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.155112
Abstract: The quantized thermal Hall effect is an important probe for detecting chiral topological order and revealing the nature of chiral gapless edge states. The standard Kubo formula approach for the thermal Hall conductance $\kappa_{xy}$ based… read more here.
Keywords: hall conductance; thermal hall; quantized thermal; hall ... See more keywords
Broken symmetry solutions in one-dimensional lattice models via many-body perturbation theory
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.111.125148
Abstract: In this work we study self-consistent solutions in one-dimensional lattice models obtained via many-body perturbation theory. The Dyson equation is solved in a fully self-consistent manner via the algorithmic-inversion method based on the sum-over-poles representation… read more here.
Keywords: dimensional lattice; broken symmetry; one dimensional; solutions one ... See more keywords
Chiral response in lattice models of Weyl materials
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.125123
Abstract: For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced pseudoelectromagnetic fields.… read more here.
Keywords: lattice models; response; weyl materials; chiral response ... See more keywords
Global stability and H theorem in lattice models with nonconservative interactions.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.052121
Abstract: In kinetic theory, a system is usually described by its one-particle distribution function f(r,v,t), such that f(r,v,t)drdv is the fraction of particles with positions and velocities in the intervals (r,r+dr) and (v,v+dv), respectively. Therein, global… read more here.
Keywords: global stability; stability theorem; lattice models; nonconservative interactions ... See more keywords
Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.210601
Abstract: We consider a class of quantum lattice models in 1+1 dimensions represented as local quantum circuits that enjoy a particular dual-unitarity property. In essence, this property ensures that both the evolution in time and that… read more here.
Keywords: exact correlation; dual unitary; correlation functions; lattice models ... See more keywords
Symmetrizing the constraints: Density matrix renormalization group for constrained lattice models
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/z4z8-zps4
Abstract: We develop a density matrix renormalization group (DMRG) algorithm for constrained quantum lattice models that successfully {\it{implements the local constraints as symmetries in the contraction of the matrix product states and matrix product operators}}. Such… read more here.
Keywords: renormalization group; matrix renormalization; density matrix; lattice models ... See more keywords
Convergent series for polynomial lattice models with complex actions
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s0217732319502432
Abstract: Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign problem. Here, we propose a new approach… read more here.
Keywords: series polynomial; models complex; convergent series; complex actions ... See more keywords
Phase diagrams of lattice models on Cayley tree and chandelier network: a review
Sign Up to like & getrecommendations! Published in 2022 at "Condensed Matter Physics"
DOI: 10.5488/cmp.25.32501
Abstract: The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe lattice) and chandelier networks. A… read more here.
Keywords: cayley tree; chandelier network; phase diagrams; lattice models ... See more keywords