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A description of non-collinear magnetism in the framework of spin-density functional theory is presented for the exact exchange energy functional which depends explicitly on two-component spinor orbitals. The equations for the effective…

The effective spin Hamiltonian method is widely adopted to simulate and understand the behavior of magnetism. However, the magnetic interactions of some systems, such as itinerant magnets, are too complex to be described by any explicit…

Materials Science · Physics 2022-05-20 Hongyu Yu , Changsong Xu , Feng Lou , L. Bellaiche , Zhenpeng Hu , Xingao Gong , Hongjun Xiang

Spin-orbit coupling (SOC) in noncentrosymmetric materials is the source of incommensurate magnetic structures. In semiconductors, it drives the Rashba spin splitting and spin momentum locking, while in magnetic insulators based on…

Strongly Correlated Electrons · Physics 2026-01-08 Ryo Makuta , Chisa Hotta

An extension of the Heisenberg Hamiltonian is discussed, that allows to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions having both chiral and non-chiral character.…

Materials Science · Physics 2020-05-06 S. Mankovsky , S. Polesya , H. Ebert

We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, in a one-dimensional spin-polarized electron gas. We find explicit expressions for each term of…

Strongly Correlated Electrons · Physics 2016-10-04 M. M. Valizadeh

This investigation covers the effects of variable exchange interactions on the spin dynamics of the zig-zag honeycomb lattice. Using a Holstein-Primakoff expansion of the Heisenberg Hamiltonian with easy-axis anisotropy, we characterize the…

Strongly Correlated Electrons · Physics 2025-07-29 E. M. Wilson , J. T. Haraldsen

Dynamic behavior of a quantum Heisenberg ferromagnet in the presence of a periodically oscillating magnetic field has been analyzed by means of the effective field theory with two spin cluster. The dynamic equation of motion has been…

Statistical Mechanics · Physics 2013-12-06 Ümit Akıncı

We propose a powerful extension to combined molecular and spin dynamics that fully captures the coupling between the atomic and spin subsystems via spin-orbit interactions. Its foundation is the inclusion of the local magnetic anisotropies…

Materials Science · Physics 2016-12-28 Dilina Perera , Markus Eisenbach , Don M. Nicholson , G. Malcolm Stocks , David P. Landau

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

Motivated by the recent suggestion of anisotropic effective exchange interactions between Mn spins in Ga$_{1-x}$Mn$_x$As (arising as a result of spin-orbit coupling), we study their effects in diluted Heisenberg spin systems. We perform…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chenggang Zhou , Malcolm P. Kennett , Xin Wan , Mona Berciu , R. N. Bhatt

Green function diagrammatic technique is used to investigate a model ferromagnet in the case, when the effective spin at a site is compounded of two anisotropically interacting electron spins. The results are: the transverse magnetic…

Statistical Mechanics · Physics 2020-04-22 R. Piasecki

In spin-density-functional theory (SDFT) for noncollinear magnetic materials, the Kohn-Sham system features exchange-correlation (xc) scalar potentials and magnetic fields. The significance of the xc magnetic fields is not very well…

Strongly Correlated Electrons · Physics 2023-03-29 Daniel Hill , Justin Shotton , Carsten A. Ullrich

We report a study of the anisotropic exchange interactions in bulk CrO_2 calculated from first principles within density functional theory. We determine the exchange coupling energies, using both the experimental lattice parameters and…

Materials Science · Physics 2015-03-13 H. Sims , S. J. Oset , W. H. Butler , James M. MacLaren , Martijn Marsman

Magnetic properties of a tetrahedral "Ni_4" molecule are discussed in terms of the Heisenberg model, with magnetic anisotropy terms included, and on the basis of first-principle calculations within the density functional theory. It is shown…

Materials Science · Physics 2007-05-23 A. V. Postnikov , M. Brueger , J. Schnack

The orbital magnetic moment is usually associated with the relativistic spin-orbit interaction, but recently it has been shown that noncollinear magnetic structures can also be its driving force. This is important not only for magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-09-18 Manuel dos Santos Dias , Samir Lounis

Transport properties of the classical antiferromagnetic XXZ model on the square lattice have been theoretically investigated, putting emphasis on how the occurrence of a phase transition is reflected in spin and thermal transports. As is…

Strongly Correlated Electrons · Physics 2019-10-16 Kazushi Aoyama , Hikaru Kawamura

We present an experimental study of macroscopic and microscopic magnetic anisotropy of a spin tetramer system SeCuO$_3$ using torque magnetometry and ESR spectroscopy. Large rotation of macroscopic magnetic axes with temperature observed…

Strongly Correlated Electrons · Physics 2014-05-20 Mirta Herak , Antonija Grubišić Čabo , Dijana Žilić , Boris Rakvin , Krešimir Salamon , Ognjen Milat , Helmuth Berger

We study spin effects in the magneto-conductance of ballistic mesoscopic systems subject to inhomogeneous magnetic fields. We present a numerical approach to the spin-dependent Landauer conductance which generalizes recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Diego Frustaglia , Martina Hentschel , Klaus Richter

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 RKKY interaction between substitutional Mn local moments in GaAs is both spin-direction-dependent and spatially anisotropic. In this Letter we address the strength of these anisotropies using a semi-phenomenological tight-binding model…

Materials Science · Physics 2009-11-10 C. Timm , A. H. MacDonald