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The dimensional crossover in a spin-$S$ nearest neighbor Heisenberg antiferromagnet is discussed as it is tuned from a two-dimensional square lattice, of lattice spacing $a$, towards a spin chain by varying the width $L_y$ of a…

Condensed Matter · Physics 2009-10-28 Sudip Chakravarty

We consider the Heisenberg antiferromagnet on the square lattice with S=1/2 and very weak easy-plane exchange anisotropy; by means of the quantum Monte Carlo method, based on the continuous-time loop algorithm, we find that the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Cuccoli , Tommaso Roscilde , Ruggero Vaia , Paola Verrucchi

Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

Condensed Matter · Physics 2007-05-23 H. G. Evertz , D. P. Landau

Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

Mesoscale and Nanoscale Physics · Physics 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

Spin dimer systems are a promising playground for the detailed study of quantum phase transitions. Using the magnetic field as the tuning parameter it is in principle possible to observe a crossover from the characteristic scaling near…

Strongly Correlated Electrons · Physics 2015-04-13 Dominik Strassel , Peter Kopietz , Sebastian Eggert

We study the quantum transition at $T=0$ in the spin-$\frac12$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1)…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. Peter Young

The XXZ model on a square lattice in the presence of a transverse magnetic field is studied within the spin wave theory to investigate the resulting canted antiferromagnet. The small and large field regimes are probed separately both for…

Strongly Correlated Electrons · Physics 2017-07-26 Satyaki Kar , Keola Wierschem , Pinaki Sengupta

The thermodynamics of the spin-$S$ anisotropic quantum $XXZ$ chain with arbitrary value of $S$ and unitary norm, in the high-temperature regime, is reported. The single-ion anisotropy term and the interaction with an external magnetic field…

Strongly Correlated Electrons · Physics 2016-05-31 Onofre Rojas , S. M. de Souza , E. V. Correa Silva , M. T. Thomaz

Simulating quantum spin systems at finite temperatures is an open challenge in many-body physics. This work studies the temperature-dependent spin dynamics of a pivotal compound, FeI$_2$, to determine if universal quantum effects can be…

Strongly Correlated Electrons · Physics 2023-11-01 D. Dahlbom , D. Brooks , M. S. Wilson , S. Chi , A. I. Kolesnikov , M. B. Stone , H. Cao , Y. -W. Li , K. Barros , M. Mourigal , C. D. Batista , X. Bai

Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets…

Statistical Mechanics · Physics 2009-10-30 B. Mombelli , O. Kahn , J. Leandri , Y. Leroyer , S. Mechkov , Y. Meurdesoif

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

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

Using the framework of semi-classical Landau-Lifshitz dynamics (LLD), we conduct a systematic investigation of the temperature-dependent spin dynamics in the S = 1/2 Heisenberg square-lattice antiferromagnet (SqAF). By performing inelastic…

Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing…

Strongly Correlated Electrons · Physics 2024-02-19 Martin Ulaga , Jure Kokalj , Alexander Wietek , Andrej Zorko , Peter Prelovšek

We investigate the asymptotic behaviour of spin-spin correlation functions for the integrable Heisenberg chain. To this end we use the Quantum Transfer Matrix (QTM) technique developed in \cite{AK} which results in a set of non-linear…

Strongly Correlated Electrons · Physics 2015-06-24 A. Klümper , J. R. Reyes Martínez , C. Scheeren , M. Shiroishi

The temperature dependence of mesoscopic spin-model parameters is derived in two-sublattice antiferromagnetically aligned systems based on Green's function theory. It is found that transversal spin correlations decrease the anisotropy terms…

Mesoscale and Nanoscale Physics · Physics 2023-06-12 Levente Rózsa , Unai Atxitia

We study the finite temperature properties of the candidate quantum spin ice material Yb$_2$Ti$_2$O$_7$ within the framework of an anisotropic nearest-neighbor spin $1/2$ model on the pyrochlore lattice. Using a combination of finite…

Strongly Correlated Electrons · Physics 2018-05-21 Hitesh J. Changlani

With an auxiliary weak external magnetic field, we reexamine the fundamental thermodynamic function, Gibbs free energy F(T, h), to study the phase transitions in the classical spin lattice models. A cross derivative, i.e. the second-order…

Strongly Correlated Electrons · Physics 2020-04-22 Y. Chen , K. Ji , Z. Y. Xie , J. F. Yu

We present a detailed investigation of longitudinal magneto-thermal transport in the $S=1/2$ ferromagnetic XXZ model with easy-axis exchange anisotropy ($\Delta>1$) on a face-centered cubic lattice consisting of four sublattices. We employ…

Strongly Correlated Electrons · Physics 2025-10-28 M. R. Parymuda

This work proposes a closed formula for the leading term of the long-distance and large-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures.…

Mathematical Physics · Physics 2024-06-14 F. Göhmann , K. K. Kozlowski