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We calculate the entropy and cooling rate of the antiferromagnetic spin-1/2 XXZ chain under an adiabatic demagnetization process using the quantum transfer-matrix technique and non-linear integral equations. The limiting case of the Ising…

Strongly Correlated Electrons · Physics 2010-02-02 Christian Trippe , Andreas Honecker , Andreas Klümper , Vadim Ohanyan

We study the finite-temperature transition to the $m=1/2$ magnetization plateau in a model of interacting $S=1/2$ spins with longer range interactions and strong exchange anisotropy on the geometrically frustrated Shastry-Sutherland…

Strongly Correlated Electrons · Physics 2015-05-20 T. Suzuki , P. Sengupta , Y. Tomita , N. Kawashima

In this work, we employed the Ising model to identify phase transitions in a magnetic system where the degree distribution of the network follows a power-law and the connections are assortatively mixed. In the Ising model, the spins assume…

Statistical Mechanics · Physics 2024-12-20 R. A. Dumer , M. Godoy

The spin-1/2 Ising-Heisenberg model on a diamond-decorated square lattice exhibits an intriguing temperature-driven phase transition in a magnetic field between a classical ferrimagnetic phase and a quantum monomer-dimer phase. A…

Statistical Mechanics · Physics 2023-08-25 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

The four dimensional Gaussian random field Ising magnet is investigated numerically at zero temperature, using samples up to size $64^4$, to test scaling theories and to investigate the nature of domain walls and the thermodynamic limit. As…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton

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

A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of…

Condensed Matter · Physics 2007-05-23 M. Holtschneider , W. Selke

The ground-state degeneracy and magnetocaloric effect in the spin-$1/2$ Ising-Heisenberg double-tetrahedral chain are exactly investigated. It is demonstrated that the zero-temperature phase diagram involves two classical and two quantum…

Statistical Mechanics · Physics 2019-02-26 Lucia Galisova , Dusan Knezo

We determine the finite-temperature phase diagram and critical behavior of the classical square-lattice Heisenberg-compass model using large-scale Monte Carlo simulations and finite-size scaling. Six symmetry distinct ordered phases are…

Strongly Correlated Electrons · Physics 2026-03-11 Yuchen Fan

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling…

High Energy Physics - Theory · Physics 2024-01-03 Vladimir V. Mangazeev , Bryte Hagan , Vladimir V. Bazhanov

The ground state and magnetization process of the mixed spin-(1,1/2) Ising diamond chain is exactly solved by employing the generalized decoration-iteration mapping transformation and the transfer-matrix method. The decoration-iteration…

Statistical Mechanics · Physics 2015-06-15 Bohdan Lisnyi , Jozef Strecka

Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain with periodically varying intersite interactions and/or on-site fields. We consider…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

Critical behavior of the Ising model is investigated at the center of large scale finite size systems, where the lattice is represented as the tiling of pentagons. The system is on the hyperbolic plane, and the recursive structure of the…

Statistical Mechanics · Physics 2010-05-20 Kouji Ueda , Roman Krcmar , Andrej Gendiar , Tomotoshi Nishino

In this work, we have performed Monte Carlo simulations to study phase transitions in a mixed spin-1 and spin-3/2 Ising ferrimagnetic system on the square and cubic lattices and with two different single-ion anisotropies. This lattice is…

Statistical Mechanics · Physics 2020-10-28 D. C. da Silva , A. S. de Arruda , M. Godoy

The properties of a fluid, or Ising magnet, confined in a $L \times \infty$ geometry with opposing surface fields at the walls are studied by density matrix renormalization techniques. In particular we focus on the effect of gravity on the…

Statistical Mechanics · Physics 2009-10-30 Enrico Carlon , Andrzej Drzewinski

In a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified…

Statistical Mechanics · Physics 2008-09-05 Elmar Bittner , Wolfhard Janke

We perform extensive Monte Carlo simulations to investigate the dynamic phase transition properties of the two-dimensional kinetic Ising model on the kagome lattice in the presence of square-wave oscillating magnetic field. Through detailed…

Statistical Mechanics · Physics 2022-11-30 Zeynep Demir Vatansever

We study the critical behavior of the Ising spin glass in five spatial dimensions through large-scale Monte Carlo simulations and finite-size scaling analysis. Numerical evidence for a phase transition is found both with and without an…

Disordered Systems and Neural Networks · Physics 2025-12-01 M. Aguilar-Janita , V. Martin-Mayor , J. Moreno-Gordo , J. J. Ruiz-Lorenzo
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