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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 calculate the thermodynamic quantities (correlation functions <S_0S_n>, correlation length xi, spin susceptibility chi, and specific heat C_V) of the frustrated one-dimensional spin-half J2-J2 Heisenberg ferromagnet, i.e. for J2<…

Strongly Correlated Electrons · Physics 2009-11-13 M. Haertel , J. Richter , D. Ihle , S. -L. Drechsler

Critical phenomena theory centers on the scaled thermodynamic potential per spin $\phi(\beta, h)=|t|^{p}Y(h|t|^{-q})$, with inverse temperature $\beta=1/T$, $h=-\beta H$, ordering field $H$, reduced temperature $t=t(\beta)$, critical…

Statistical Mechanics · Physics 2018-08-27 George Ruppeiner

The magnetic properties and phase diagrams of the mixed spin-1 and spin-1/2 Ising model on a checkerboard square structure have been studied using the Monte Carlo simulations based on the Metropolis update protocol. The system consists of…

Statistical Mechanics · Physics 2021-09-15 Maen Gharaibeh , Mohammad H. A. Badarneh , Samah Alqaiem , Abdalla Obeidat , Mohammad-Khair Qaseer

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

The thermodynamic properties of ferromagnetic spin chains have been the subject of many publications. Still, the problem of how the spin-wave interaction manifest itself in these low-temperature series has been neglected. Using the method…

Strongly Correlated Electrons · Physics 2015-06-16 Christoph P. Hofmann

We study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The…

Statistical Mechanics · Physics 2008-03-27 E. Agliari , M. Casartelli , A. Vezzani

We perform a statistical and geometrothermodynamic analysis of three different models of magnetic materials, namely, the translational free model, the spin model, and the mean-field model. First, we derive the fundamental equation for each…

Statistical Mechanics · Physics 2025-01-22 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

We studied the thermodynamics of the one-dimensional J1-J2 spin-1/2 Heisenberg chain for ferromagnetic nearest-neighbor bonds J1 < 0 and frustrating antiferromagnetic next-nearest-neighbor bonds J1 > 0 using full diagonalization of finite…

Strongly Correlated Electrons · Physics 2011-09-15 J. Richter , M. Härtel , D. Ihle , S. -L. Drechsler

We develop a geometric formulation of thermodynamic response in the classical Ising model by defining a curvature field over the control manifold spanned by inverse temperature $\beta$ and magnetic field $h$. We show that the existence of…

Statistical Mechanics · Physics 2026-04-30 Eric R. Bittner

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The thermodynamic properties (magnetization, magnetic susceptibility, transverse and longitudinal correlation lengths, specific heat) of one- and two-dimensional ferromagnets with arbitrary spin S in a magnetic field are investigated by a…

Strongly Correlated Electrons · Physics 2009-11-13 I. Juhász Junger , D. Ihle , L. Bogacz , W. Janke

We present a comprehensive macroscopic thermodynamic study of the quasi-one-dimensional (1D) $s = \tfrac{1}{2}$ frustrated spin-chain system linarite. Susceptibility, magnetization, specific heat, magnetocaloric effect, magnetostriction,…

We study the coupled twin-diamond chain, a decorated one-dimensional Ising model motivated by the magnetic structure of $\mathrm{Cu}_{2}(\mathrm{TeO}_{3})_{2}\mathrm{Br}_{2}$. By applying an exact mapping to an effective Ising chain, we…

Statistical Mechanics · Physics 2026-02-23 Onofre Rojas

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

Statistical Mechanics · Physics 2016-08-31 Dragi Karevski , Malte Henkel

We have investigated the magnetic and magnetocaloric properties of antiferromagnetic Ising spin chain CoV$_{2}$O$_{6}$ by magnetization and heat capacity measurements. Both monoclinic $\alpha$-CoV$_{2}$O$_{6}$ and triclinic…

Strongly Correlated Electrons · Physics 2016-05-04 M. Nandi , P. Mandal

The magnetic phase diagram and the thermodynamic properties of a square lattice containing antiferromagnetically coupled spin-1/2 triangles are studied. A Heisenberg Hamiltonian with three strong intra-triangle exchange coupling constants…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

We use the spin-rotation-invariant Green's function method as well as the high-temperature expansion to discuss the thermodynamic properties of the frustrated spin-$S$ $J_{1}$-$J_{2}$ Heisenberg magnet on the body-centered cubic lattice. We…

Statistical Mechanics · Physics 2015-07-17 P. Müller , J. Richter , A. Hauser , D. Ihle

We study the thermodynamic properties of spin systems on small-world hypergraphs, obtained by superimposing sparse Poisson random graphs with p-spin interactions onto a one-dimensional Ising chain with nearest-neighbor interactions. We use…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Bolle , R. Heylen , N. S. Skantzos

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