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Residual entropy is a key feature associated with emergence in many-body systems. From a variety of frustrated magnets to the onset of spin-charge separation in Hubbard models and fermion-$Z_2$-flux variables in Kitaev models, the freezing…

Strongly Correlated Electrons · Physics 2019-08-21 Owen Bradley , Chunhan Feng , Richard T. Scalettar , Rajiv R. P. Singh

We employ a thermodynamic integration method (TIM) to establish the values of the residual entropy for the geometrically frustrated spin-s triangular Ising antiferromagnet, with the spin values s = 1/2, 1, 3/2, 2 and 5/2. The case of s =…

Statistical Mechanics · Physics 2013-06-25 M. Žukovič

For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using the Fisher-Kasteleyn algorithm on a square lattice with…

Disordered Systems and Neural Networks · Physics 2020-02-04 Boris V. Kryzhanovsky , Magomed Yu. Malsagov , Iakov M. Karandashev

Here we consider the Ising-Heisenberg model in the expanded Kagom\'e lattice, also known as triangle-dodecagon (3-12) or star lattice. This model can still be understood as a decorated honeycomb lattice. Assuming that the Heisenberg spins…

Statistical Mechanics · Physics 2018-11-01 Onofre Rojas

In this paper, the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice in an external magnetic field are investigated, taking into account the exchange interactions of atomic spins at the sites of…

Statistical Mechanics · Physics 2023-03-22 A. V. Zarubin , F. A. Kassan-Ogly

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

We perform a quantitative analysis of the cooling dynamics of three-level atomic systems interacting with two distinct lasers. Employing sparse-matrix techniques, we find numerical solutions to the fully quantized master equation in steady…

Atomic Physics · Physics 2009-11-13 Josh W. Dunn , J. W. Thomsen , Chris H. Greene , Flavio C. Cruz

Inspired by the recent experimental progress in pyrochlore derivative RE$_3$Sb$_3$A$_2$O$_{14}$ (A = Mg, Zn), we investigate the Hubbard model on the kagome lattice with an additional hopping $t'/t$, which enables continuous interpolation…

Strongly Correlated Electrons · Physics 2026-04-29 Zixuan Jia , Lufeng Zhang , Qingzhuo Duan , Zenghui Fan , Jingyao Wang , Ying Liang , Bing Huang , Tianxing Ma

Simple application of the Einstein model combined with the elastic description of solid state is developed. The frequency of quantum oscillators has been assumed as volume dependent and, furthermore, elastic energy terms of static character…

Statistical Mechanics · Physics 2013-04-09 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

Microscopic models of realistic thermodynamic systems usually involve a number of parameters, not all of equal macroscopic relevance. We examine a decorated $(1+3)$ Ising spin chain containing two microscopic parameters: a "stiff" $K$…

Statistical Mechanics · Physics 2015-06-22 George Ruppeiner , Stefano Bellucci

We investigate a quasi-adiabatic thermal process for preparing finite-temperature ensembles in the thermodynamic limit. The process gradually transforms a thermal ensemble of a noninteracting system into that of an interacting system of…

Statistical Mechanics · Physics 2026-05-12 Tatsuhiko Shirai

Motivated by experimental progress in pressure and strain tuning of quantum materials, we examine the thermodynamic response of frustrated magnets to uniaxial strain. Specifically, we study Ising and Heisenberg models on spatially…

Strongly Correlated Electrons · Physics 2026-05-18 Eric C. Andrade , Pedro M. Cônsoli , Matthias Vojta

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field $H$. The model consists of ferromagnetic interaction $J_{x}(J_{z})$ in the $x(z)$…

Statistical Mechanics · Physics 2012-06-29 Octavio D. R. Salmon , Minos A. Neto , J. Roberto Viana , Igor T. Padilha , J. R. de Sousa

A two-dimensional spin-1/2 trilayer magnetic system with quenched non-magnetic impurity is studied. The lattice is formed by alternate layers of two different theoretical atoms A and B arranged in a particular fashion A-B-A. The…

Statistical Mechanics · Physics 2021-01-21 Sk Sajid , Muktish Acharyya

We present a comparative study of the fate of an Ising ferromagnet on the square lattice with periodic boundary conditions evolving under three different zero-temperature dynamics. The first one is Glauber dynamics, the two other dynamics…

Statistical Mechanics · Physics 2019-07-01 Claude Godrèche , Michel Pleimling

We use an infinite-range Maier-Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations…

Statistical Mechanics · Physics 2015-06-05 D. B. Liarte , S. R. Salinas

The problem of finding of the ferromagnetic and antiferromagnetic "symmetry broken" solutions of the correlated lattice fermion models beyond the mean-field approximation has been investigated. The calculation of the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

We demonstrate the applicability of the $\epsilon$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high…

Statistical Mechanics · Physics 2024-10-22 M V Vismaya , M V Sangaranarayanan

We present a study, within a mean-field approach, of the kinetics of a mixed ferrimagnetic model on a square lattice in which two interpenetrating square sublattices have spins that can take two values, $\sigma=\pm1/2$, alternated with…

Statistical Mechanics · Physics 2009-03-12 B. Deviren , M. Keskin , O. Canko

We review the various methods which have been employed recently to describe the thermodynamics of the high temperature quark-gluon plasma using weak coupling techniques, and we compare their results with those of most recent lattice gauge…

High Energy Physics - Phenomenology · Physics 2016-11-23 J. -P. Blaizot , E. Iancu , A. Rebhan