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Related papers: Linear response theories for interatomic exchange …

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In this report we review the method of explicit calculations of interatomic exchange interactions of magnetic materials. This involves exchange mechanisms normally referred to as Heisenberg exchange, Dzyaloshinskii-Moriya interaction and…

We critically reexamine the problem of interatomic exchange interactions, which describe the total energy change caused by infinitesimal rotations of spins near some equilibrium state. For the small variations, such interactions can be…

Materials Science · Physics 2021-03-24 I. V. Solovyev

We investigate abilities of various linear response based techniques for extracting parameters of antisymmetric Dzyaloshinskii-Moriya (DM) interactions from the first-principles electronic structure calculations. For these purposes, we…

Materials Science · Physics 2023-03-02 I. V. Solovyev

The Dzyaloshinskii-Moriya (DM) interaction, as well as symmetric anisotropic exchange, are important ingredients for stabilizing topologically non-trivial magnetic textures, such as, e.g., skyrmions, merons and hopfions. These types of…

The modern quantum theory of magnetism in solids is getting commonly derived using Green's functions formalism. The popularity draws itself from remarkable opportunities to capture the microscopic landscape of exchange interactions,…

Materials Science · Physics 2022-11-09 I. V. Kashin , A. Gerasimov , V. V. Mazurenko

The recent development in the field of 2D magnetic materials urges reliable theoretical methodology for determination of magnetic properties. Among the available methods, ab initio four-state energy mapping based on Density Functional…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 Denis Sabani , Cihan Bacaksiz , Milorad Milosevic

We propose a method to determine the magnetic exchange interaction and on-site anisotropy tensors of extended Heisenberg spin models from density functional theory including relativistic effects. The method is based on the…

Magnetism in recently discovered van der Waals materials has opened new avenues in the study of fundamental spin interactions in truly two-dimensions. A paramount question is what effect higher-order interactions beyond bilinear Heisenberg…

Mesoscale and Nanoscale Physics · Physics 2020-10-30 Alexey Kartsev , Mathias Augustin , Richard F. L. Evans , Kostya S. Novoselov , Elton J. G. Santos

Proposals for novel spin-orbitronic logic1 and memory devices2 are often predicated on assumptions as to how materials with large spin-orbit coupling interact with ferromagnets when in contact. Such interactions give rise to a host of novel…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Hans T. Nembach , Justin M. Shaw , Mathias Weiler , Emilie Jué , Thomas J. Silva

We formulate a low-energy theory for the magnetic interactions between electrons in the multi-band Hubbard model under non-equilibrium conditions determined by an external time-dependent electric field which simulates laser-induced spin…

Strongly Correlated Electrons · Physics 2013-04-11 Andrea Secchi , Sergei Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

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

We calculate Heisenberg-type magnetic exchange interactions for SrMnO$_3$ under isotropic volume expansion using an approach that is based on total energy variations due to infinitesimal spin rotations around a given reference state. Our…

Materials Science · Physics 2020-02-12 Xiangzhou Zhu , Alexander Edström , Claude Ederer

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

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

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 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 employ density functional theory within a non-collinear framework to investigate the magnetic properties of the octanuclear molecular rings Cr$_8$ and V$_8$. Our aim is to generalize the evaluation of the effective magnetic interactions…

Materials Science · Physics 2026-04-28 Maria Barbara Maccioni , Elia Stocco , Luca Binci , Andrea Floris , Matteo Cococcioni

For the time being isotropic three-body exchange interactions are scarcely explored and mostly used as a tool for constructing various exactly solvable one-dimensional models, although, generally speaking, such competing terms in generic…

Strongly Correlated Electrons · Physics 2014-10-08 N. B. Ivanov , J. Ummethum , J. Schnack

The linear and nonlinear processes in ferromagnetic films at low temperatures T<< Tc are studied in a microscopic theory. Both the long-range magnetic dipole-dipole and the Heisenberg exchange interactions to nearest and next-nearest…

Strongly Correlated Electrons · Physics 2009-10-31 R. N. Costa Filho , M. G. Cottam , G. A. Farias

In order to derive tensorial exchange interactions and local magnetic anisotropies in itinerant magnetic systems, an approach combining the Spin-Cluster Expansion with the Relativistic Disordered Local Moment scheme is introduced. The…

Strongly Correlated Electrons · Physics 2015-05-20 L. Szunyogh , L. Udvardi , J. Jackson , U. Nowak , R. Chantrell
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