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The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat,…

Statistical Mechanics · Physics 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

We improved the decoupling approximation of the double-time Green's function theory, and applied it to study the spin-${1\over 2}$ two-dimensional antiferromagnetic Heisenberg model with broken bonds at finite temperature. Our decoupling…

Strongly Correlated Electrons · Physics 2009-10-31 Yun Song , H. Q. Lin , Jue-Lian Shen

Inelastic neutron-scattering and finite-temperature density matrix renormalization group (DMRG) calculations are used to investigate the spin excitation spectrum of the $S=1/2$ Heisenberg spin chain compound K$_2$CuSO$_4$Cl$_2$ at several…

Strongly Correlated Electrons · Physics 2017-10-04 Dominic Blosser , Noam Kestin , Kirill Yu. Povarov , Robert Bewley , Emanuele Coira , Thierry Giamarchi , Andrey Zheludev

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is two-fold: First, we compute both the charge and the spin current correlation function of the…

Strongly Correlated Electrons · Physics 2015-06-22 C. Karrasch , D. M. Kennes , J. E. Moore

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the Random Field Ising Model's order parameter in terms of disagreement percolation. This facilitates an extension of the recent…

Mathematical Physics · Physics 2022-01-25 Michael Aizenman , Matan Harel , Ron Peled

We investigate the classical antiferromagnetic Heisenberg model on the triangular lattice with up to third-nearest neighbor exchange couplings using the Nematic Bond Theory. This approach allows us to compute the free energy and the neutron…

Strongly Correlated Electrons · Physics 2026-04-27 Cecilie Glittum , Olav F. Syljuåsen

The Shintani-Tanaka model is a glass-forming system whose constituents interact via anisotropic potential depending on the angle of a unit vector carried by each particle. The decay of time-correlation functions of the unit vectors exhibits…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Ido Regev

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of bias the…

Strongly Correlated Electrons · Physics 2023-08-30 Oleksandr Gamayun , Arthur Hutsalyuk , Balázs Pozsgay , Mikhail B. Zvonarev

The thermodynamic properties of a one-dimensional model describing spin dynamics in the presence of a twofold orbital degeneracy are studied numerically using the transfer-matrix renormalization group (TMRG). The model contains an…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

The antiferromagnetic spin-one chain is considerably one of the most fundamental quantum many-body systems, with symmetry protected topological order in the ground state. Here, we present results for its dynamical spin structure factor at…

Strongly Correlated Electrons · Physics 2017-08-09 Jonas Becker , Thomas Köhler , Alexander C. Tiegel , Salvatore R. Manmana , Stefan Wessel , Andreas Honecker

We study an integrable model of one-dimensional strongly correlated electrons at finite temperature by explicit calculation of the correlation lengths of various correlation functions. The model is invariant with respect to the quantum…

Statistical Mechanics · Physics 2019-12-20 Andreas Kluemper , Kazumitsu Sakai

Motivated by recent experimental progress in the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an S=1 ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Yi Cui , Weiqiang Yu , Rong Yu

We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function $\omega$ for any spin s and finite temperature T. For the spin-3/2…

Statistical Mechanics · Physics 2016-07-28 G. A. P. Ribeiro , A. Klümper

Tensor networks offer a sign-problem-free approach to study lattice gauge theories, but extracting precise universal information associated with the deconfinement transition remains challenging. In this work, we study the deconfinement…

High Energy Physics - Theory · Physics 2026-02-18 Adwait Naravane , Yuto Sugimoto , Shinichiro Akiyama , Jutho Haegeman , Atsushi Ueda

We derive a universal form for the correlation function of general n component systems in the limit of high temperatures or weak coupling. This enables the extraction of effective microscopic interactions from measured high temperature…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Zohar Nussinov

The problem of spin diffusion is studied numerically in one-dimensional classical Heisenberg model using a deterministic odd even spin precession dynamics. We demonstrate that spin diffusion in this model, like energy diffusion, is normal…

Statistical Mechanics · Physics 2015-06-12 Debarshee Bagchi

The recently discovered universal thermodynamic behaviour of dilute, strongly interacting Fermi gases also implies a universal structure in the many-body pair-correlation function at short distances, as quantified by the contact ${\cal I}$.…

Quantum Gases · Physics 2011-07-06 Hui Hu , Xia-Ji Liu , Peter D. Drummond

We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting fermions moving under harmonic confinement in one dimension. By calculations…

Statistical Mechanics · Physics 2009-11-07 Z. Akdeniz , P. Vignolo , A. Minguzzi , M. P. Tosi

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We present results for the dynamic structure factor of the S=1/2 bond alternating Heisenberg chain over a large range of frequencies and temperatures. Data are obtained from a numerical evaluation of thermal averages based on the…

Strongly Correlated Electrons · Physics 2009-11-11 H. -J. Mikeska , C. Luckmann
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