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Related papers: High Temperature Expansion for a Chain Model

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We develop a low-temperature expansion for the finite temperature dynamical structure factor of the spin half Heisenberg chain with alternating nearest neighbour exchange in the limit of strong alternation of the exchange constants. We…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , F. H. L. Essler , R. M. Konik

A modified spin-wave theory is applied to the one-dimensional quantum Heisenberg model with long-range ferromagnetic interactions. Low-temperature properties of this model are investigated. The susceptibility and the specific heat are…

Condensed Matter · Physics 2009-10-22 Hiroki Nakano , Minoru Takahashi

We study the temperature dependence of energy diffusion in two chaotic gapped quantum spin chains, a tilted-field Ising model and an XZ model, using an open system approach. We introduce an energy imbalance by coupling the chain to thermal…

Strongly Correlated Electrons · Physics 2021-03-31 Cristian Zanoci , Brian Swingle

We formulate a new method of performing high-temperature series expansions for the spin-half Heisenberg model or, more generally, for SU($n$) Heisenberg model with arbitrary $n$. The new method is a novel extension of the well-established…

Statistical Mechanics · Physics 2007-05-23 Noboru Fukushima

We study the entanglement of a two-qubit one dimensional XYZ Heisenberg chain in thermal equilibrium at temperature T. We obtain an analytical expression for the entanglement of formation for this system in terms of the parameters of the…

Quantum Physics · Physics 2007-05-23 G. Rigolin

We consider thermodynamic properties, e.g. specific heat, magnetic susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising symmetry these chains can be decomposed into a set of finite chain fragments. The problem of…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , G. Uimin , J. Zittartz

We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at…

Statistical Mechanics · Physics 2007-05-23 F. De Pasquale , S. M. Giampaolo

A special class of S=1 spin ladder hamiltonians, with second- neighbor exchange interactions and with anisotropies in the $z$-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high…

Strongly Correlated Electrons · Physics 2009-11-11 Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

We derive an exact formula for the boundary free energy of the open Heisenberg XXZ spin chain. We allow for arbitrary boundary magnetic fields, but assume zero bulk magnetization. The result is completely analogous to earlier formulas for…

Statistical Mechanics · Physics 2018-12-05 B. Pozsgay , O. Rákos

Thermodynamics of the XXX Heisenberg model is studied. The trace of the Boltzmann weight with respect to the Hilbert space is taken in the thermodynamic limit with the number of up-spins being fixed. The expression of the trace gives an…

Statistical Mechanics · Physics 2020-07-20 Go Kato , Miki Wadati

We provide exact analytical expressions for the magnetic susceptibility function in the high temperature expansion for finite Heisenberg spin systems with an arbitrary coupling matrix, arbitrary single-spin quantum number, and arbitrary…

Statistical Mechanics · Physics 2009-11-07 H. -J. Schmidt , J. Schnack , Marshall Luban

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

Situations where a spontaneous process of energy or matter transfer is enhanced by an external device are widespread in nature (human sweating system, enzyme catalysis, facilitated diffusion across bio-membranes, industrial heat…

Statistical Mechanics · Physics 2010-07-21 Karen Hovhannisyan , Armen E. Allahverdyan

The rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle…

Strongly Correlated Electrons · Physics 2015-12-31 Romain Vasseur , Christoph Karrasch , Joel E. Moore

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai

We present a general method for the high-temperature expansion of the self-energy of interacting particles. Though the method is valid for fermions and bosons, we illustrate it for spin one half fermions interacting via a zero range…

Quantum Gases · Physics 2015-11-18 Mingyuan Sun , Xavier Leyronas

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

We derive the high-temperature expansion of the Helmholtz free energy up to the order \beta^{17} of the one-dimensional spin-S Ising model, with single-ion anisotropy term, in the presence of a longitudinal magnetic field. We show that the…

Statistical Mechanics · Physics 2012-04-27 M. T. Thomaz , O. Rojas

The extended Hubbard model can host s-wave, d-wave and p-wave superconducting phases depending on the values of the on-site and nearest-neighbour interactions. Upon detailed examination of the free energy functional of the gap in this…

Superconductivity · Physics 2020-11-25 Joel Hutchinson , Frank Marsiglio

We study certain functions arising in the context of the calculation of correlation functions of the XXZ spin chain and of integrable field theories related with various scaling limits of the underlying six-vertex model. We show that…

Mathematical Physics · Physics 2015-06-03 Hermann Boos , Frank Göhmann