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We theoretically demonstrate that sufficiently strong magnetoelastic coupling can change the ground state of otherwise uniform spin systems to chiral spin configurations. More specifically, we show that, a periodic array of chiral spin…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Gyungchoon Go , Se Kwon Kim

We study the classical antiferromagnetic Heisenberg model on the triangular lattice with Dzyaloshinskii-Moriya interactions in a magnetic field. We focus in particular in the emergence of a composite spin crystal phase, dubbed…

Strongly Correlated Electrons · Physics 2017-07-12 S. A. Osorio , H. D. Rosales , M. B. Sturla , D. C. Cabra

The emergence of a magnetic skyrmion crystal in a nonsymmorphic lattice system with the screw symmetry is numerically investigated. By performing the simulated annealing for a layered spin model with the isotropic exchange interaction and…

Strongly Correlated Electrons · Physics 2022-07-04 Satoru Hayami

Spin-orbital liquids provide an exactly solvable route to three-dimensional Z2 quantum spin liquids beyond the original Kitaev setting. Built from higher-dimensional Clifford-algebra representations, spin-orbital Hamiltonians can be…

Strongly Correlated Electrons · Physics 2026-02-09 Anna Sandberg , Lukas Rødland , Maria Hermanns

We investigate a class of nonminimal derivative couplings between fermions and electromagnetic fields that generate Rashba-like spin--orbit interactions in one-dimensional quantum rings. Starting from a generalized Dirac Lagrangian…

High Energy Physics - Theory · Physics 2026-04-10 Edilberto O. Silva , João A. A. S. Reis , L. Lisboa-Santos

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…

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

Anisotropic superexchange interaction is one of the most important interactions in realizing exotic quantum magnetism, which is traditionally regarded to originate from magnetic ions and has no relation with the nonmagnetic ions. In our…

Strongly Correlated Electrons · Physics 2020-10-13 Jun Chang , Jize Zhao , Yang Ding

We report first-principles all-electron density-functional based studies of the electronic structure, magnetic ordering and anisotropy for the V$_{15}$ molecular magnet. From these calculations, we determine a Heisenberg Hamiltonian with…

Materials Science · Physics 2009-11-07 Jens Kortus , C. Stephen Hellberg , Mark R. Pederson

Twisted transition metal dichalcogenide (TMD) homobilayers have recently emerged as a powerful platform for studying correlated insulating states. In the strongly correlated limit, we construct an effective spin Hamiltonian on a honeycomb…

Strongly Correlated Electrons · Physics 2021-10-04 Mohammad-Hossein Zare , Hamid Mosadeq

Antisymmetric Dzyaloshinskii-Moriya (DM) interactions generating from the spin-orbit coupling induce various fascinating properties, like magnetoelectric (ME) effect, weak ferromagnetism and non-trivial topological spin textures like…

Materials Science · Physics 2022-03-09 Hena Das

Isotropic Heisenberg exchange naturally appears as the main interaction in magnetism, usually favouring long-range spin-ordered phases. The anisotropic Dzyaloshinskii-Moriya interaction arises from relativistic corrections and is a priori…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 E. A. Stepanov , S. A. Nikolaev , C. Dutreix , M. I. Katsnelson , V. V. Mazurenko

Magnetic skyrmions are two-dimensional non-collinear spin textures characterised by an integer topological number. They commonly crystallise at low temperatures in bulk noncentrosymmetric ferromagnets where the lack of inversion symmetry…

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

The influence of the Dzyaloshinskii-Moriya interaction in ultra-thin ferromagnetic films and chiral magnonic crystals on the behavior of spin waves is reviewed. During the last decade, it has been shown, both theoretically and…

Mesoscale and Nanoscale Physics · Physics 2019-06-06 Rodolfo A. Gallardo , David Cortés-Ortuño , Roberto E. Troncoso , Pedro Landeros

We study ultracold bosonic atoms with the synthetic three-dimensional spin-orbit (SO) coupling in a cubic optical lattice. In the superfluidity phase, the lowest energy band exhibits one, two or four pairs of degenerate single-particle…

Quantum Gases · Physics 2013-07-15 Dan-Wei Zhang , Ji-Pei Chen , Chuan-Jia Shan , Z. D. Wang , Shi-Liang Zhu

We theoretically show that the Kitaev interaction generates a novel class of spin texture in the excitation spectrum of the antiferromagnetic insulator found in the Kitaev-Heisenberg-$\Gamma$ model. In conducting electronic systems, there…

Strongly Correlated Electrons · Physics 2019-11-07 Masataka Kawano , Chisa Hotta

An effective electronic Hamiltonian for transition metal oxide compounds is presented. For Mn-oxides, the Hamiltonian contains spin-2 ``spins'' and spin-3/2 ``holes'' as degrees of freedom. The model is constructed from the Kondo-lattice…

Condensed Matter · Physics 2009-10-28 Erwin Müller-Hartmann , Elbio Dagotto

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 present a microscopic theory of an atomic spin diode. Our proposed system consists of two magnetic adatoms deposited on the surface of a two-dimensional electron gas with Rashba spin-orbit coupling. A local s-d type coupling between the…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 William J. Huddie , Rembert A. Duine