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The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model…

Strongly Correlated Electrons · Physics 2016-11-09 O. M. Sotnikov , V. V. Mazurenko

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

We report a novel practical method to determine exchange parameters by using experimental susceptibility data in a relatively narrow temperature region and a low order high-temperature-expansion equation. This method is applied to a square…

Strongly Correlated Electrons · Physics 2009-10-30 Ken'ichi Takano , Kazuhiro Sano

We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of…

Strongly Correlated Electrons · Physics 2015-06-22 B. Bernu , C. Lhuillier

We show that the high-temperature expansion of the free energy and arbitrary imaginary-time-ordered connected correlation functions of quantum spin systems can be recursively obtained from the exact renormalization group flow equation for…

Strongly Correlated Electrons · Physics 2024-10-15 Andreas Rückriegel , Dmytro Tarasevych , Jan Krieg , Peter Kopietz

Magnetic susceptibility measured for CaV$_4$O$_9$ is analyzed by a method with high temperature expansion. The analysis is consistent with the $g$-value which is close to 2 and is observed by an ESR experiment. Four exchange parameters in a…

Condensed Matter · Physics 2007-05-23 Ken'ichi Takano , K. Sano

We develop a low-temperature expansion for the finite temperature dynamical structure factor of the spin half Heisenberg chain with alternating nearest neighbour exchange in the limit of strong alternation of the exchange constants. We…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , F. H. L. Essler , R. M. Konik

We compute the magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice with high-temperature expansions and exact diagonalizations. We compare the results with the experimental data on ZnCu3(OH)6Cl2…

Strongly Correlated Electrons · Physics 2011-11-09 Gregoire Misguich , Philippe Sindzingre

Exchange coupling parameters $J_{ij}$ in the Heisenberg model are crucial for describing magnetic behavior at the atomic level. In magnetic materials, spin fluctuations can be accompanied by a self-consistent electronic response --…

Materials Science · Physics 2026-03-05 Tomonori Tanaka , Yoshihiro Gohda

We present a high-temperature series expansion code for spin-1/2 Heisenberg models on arbitrary lattices. As an example we demonstrate how to use the application for an anisotropic triangular lattice with two independent couplings J1 and J2…

Strongly Correlated Electrons · Physics 2017-01-04 Andreas Hehn , Natalija van Well , Matthias Troyer

A well-known connection between the magnetic susceptibility and the effective exchange parameter is analyzed. It is shown that all current computational schemes use a long-wave approximation which is suitable only for localized moments…

Strongly Correlated Electrons · Physics 2009-11-07 V. P. Antropov

Inelastic neutron scattering (INS) provides direct insights into microscopic magnetic interactions in crystalline materials, making it a valuable experimental technique in condensed matter physics and materials science. These interactions…

Materials Science · Physics 2025-09-23 Mojtaba Alaei , Zahra Mosleh , Nafise Rezaei , Artem R. Oganov

In an effort to understand the low temperature behavior of recently synthesized molecular magnets we present numerical evidence for the existence of a rotational band in systems of quantum spins interacting with nearest-neighbor…

Materials Science · Physics 2009-10-31 J. Schnack , Marshall Luban

We present a method of extracting the exchange parameters of the classical Heisenberg model from first-principles calculations of spin-spiral total energies based on density functional theory. The exchange parameters of the transition-metal…

Materials Science · Physics 2015-06-17 Adam Jacobsson , Biplab Sanyal , Marjana Lezaic , Stefan Blügel

The expression of the thermal fluctuation parameter in the stochastic Landau-Lifshitz-Gilbert equation has been derived from a fundamental quantum theory of spins and phonons, in which the exchange interaction between nearest atoms has been…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Lei Xu , Dan Wei , Kuijuan Jin , Zhongshui Ma

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Takahiro Fukui

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

Theoretical prediction of the 2nd-order magnetic transition temperature (TM) used to be arduous. Here, we develop a first principle-based, fully automatic structure-to-TM method for two-dimensional (2D) magnets whose effective Hamiltonians…

Materials Science · Physics 2023-12-08 Haichang Lu , Tai Yang , Zhimei Sun , John Robertson , Weisheng Zhao

We study ballistic thermal transport in Heisenberg spin chain with nearest-neighbor ferromagnetic interactions at low temperatures. Explicit expressions for transmission coefficients are derived for thermal transport in a periodic spin…

Statistical Mechanics · Physics 2008-10-16 Lifa Zhang , Jian-Sheng Wang , Baowen Li

A model relevant for the study of certain molecular magnets is the ring of N=4 classical spins with equal near-neighbor isotropic Heisenberg exchange interactions. Assuming classical Heisenberg spin dynamics, we solve explicitly for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard A. Klemm , Marshall Luban
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