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The thermodynamics of the classical frustrated spin chain near the transition point between the ferromagnetic and the helical phases is studied. The calculation of the partition and spin correlation functions at low temperature limit is…

Statistical Mechanics · Physics 2015-05-19 D. V. Dmitriev , V. Ya. Krivnov

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

Numerical methods are used to examine the thermodynamic characteristics of the two-dimensional Ising model as a function of the number of spins N. Onsager's solution is generalized to a finite-size lattice, and experimentally validated…

Disordered Systems and Neural Networks · Physics 2017-06-09 M. Yu. Malsagov , I. M. Karandashev , B. V. Kryzhanovsky

The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp(1|2). Using the string hypothesis, we derive a set of infinite number of non-linear integral equations (thermodynamic…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

The spectral functions of tJ and tJ_{XY} models in the limit of J/t-> 0 and at finite temperatures T>>t are calculated using the spin-charge factorized wave function. We find that the Luttinger-liquid like scaling behavior for a finite…

Strongly Correlated Electrons · Physics 2009-10-30 Karlo Penc , Mohammed Serhan

An improved unified formulation based on the effective field theory is introduced for a spin-1/2 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

The XXZ quantum spin chain has a triple point in its ground state $h$-$1/\Delta$ phase diagram. This first order critical point is located at the joint end point of the two second order phase transition lines marking the transition from the…

Statistical Mechanics · Physics 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

The thermodynamic Bethe ansatz method is employed for the study of the integrable critical $RSOS(q_{1}, q_{2};q)$ model. The high and low temperature behavior are investigated, and the central charge of the effective conformal field theory…

High Energy Physics - Theory · Physics 2008-11-26 Anastasia Doikou

The basics of the thermodynamic Bethe ansatz equation are given. The simplest case is repulsive delta function bosons, the thermodynamic equation contains only one unknown function. We also treat the XXX model with spin 1/2 and the XXZ…

Statistical Mechanics · Physics 2009-10-30 Minoru Takahashi

This is a historical note. In 1993 we calculated space, time and temperature dependent correlation function in isotropic version of one dimensional XY spin chain. The correlation function decays exponentially with time and space separation.…

Quantum Physics · Physics 2015-05-14 A. Its , A. Izergin , V. Korepin , N. Slavnov

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

Condensed Matter · Physics 2009-10-22 Andreas Klümper

Using the spherically symmetric self-consistent Green's function method, we consider thermodynamic properties of the $S=1/2$ $J_1$-$J_2$ Heisenberg model on the 2D square lattice. We calculate the temperature dependence of the spin-spin…

Strongly Correlated Electrons · Physics 2016-08-11 A. V. Mikheyenkov , A. V. Shvartsberg , V. E. Valiulin , A. F. Barabanov

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

The R\'enyi entanglement entropy is calculated exactly for mode-partitioned isolated systems such as the two-mode squeezed state and the multi-mode Silbey-Harris polaron ansatz state. Effective thermodynamic descriptions of the correlated…

Quantum Physics · Physics 2015-12-24 King Karl R. Seroje , Rafael S. dela Rosa , Francis N. C. Paraan

Critical thermodynamics close to a metamagnetic quantum critical endpoint (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized…

Strongly Correlated Electrons · Physics 2015-06-15 Mario Zacharias , Markus Garst

An exactly solvable spin-electron tetrahedral chain, where the Ising spins localized at nodal lattice sites regularly alternate with three equivalent lattice sites available for one mobile electron is considered. The system with…

Statistical Mechanics · Physics 2016-08-12 Lucia Galisova

The thermodynamic properties: specific heat, entropy, spin susceptibility $\chi_s$ and charge susceptibility $\chi_c$ are studied as a function of temperature and doping within the two-dimensional Hubbard model with various $U/t=4 - 12$.…

Strongly Correlated Electrons · Physics 2009-11-07 J. Bonca , P. Prelovsek

Contrary to the suggestion of Kitatani and Sinada (2000 J. Phys. A: Math. Gen. {\bf 33} 3545-3553), the scaling analysis of the order parameter distributions suggests the existence of a finite-temperature spin-glass phase transition $T_c\ne…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Shirakura , F. Matsubara , M. Shiomi

We consider a two-parameter $(\bar c, \tilde c)$ family of quantum integrable Hamiltonians for a chain of alternating spins of spin $s=1/2$ and $s=1$. We determine the thermodynamics for low-temperature $T$ and small external magnetic field…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , Luca Mezincescu , Rafael I. Nepomechie
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