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We developed general approach to the calculation of power-law infrared asymptotics of spin-spin correlation functions in the Kitaev honeycomb model with different types of perturbations. We have shown that in order to find these correlation…

Strongly Correlated Electrons · Physics 2019-06-27 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

Ferromagnet/heavy metal (FM/HM) multilayer thin films with $C_{2v}$ symmetry have the potential to host antiskyrmions and other chiral spin textures via an anisotropic Dzyaloshinkii-Moriya interaction (DMI). Here, we present a candidate…

Materials Science · Physics 2021-10-14 Yukun Liu , Michael D. Kitcher , Marc De Graef , Vincent Sokalski

The quantum spin liquid material herbertsmithite is described by an antiferromagnetic Heisenberg model on the kagome lattice with non-negligible Dzyaloshinskii-Moriya interaction~(DMI). A well established phase transition to the $\mathbf…

Strongly Correlated Electrons · Physics 2017-07-04 Laura Messio , Samuel Bieri , Claire Lhuillier , Bernard Bernu

The Dzyaloshinkii-Moriya (DM) interaction that originates from relativistic spin-orbit coupling in noncentrosymmetric magnets is a source of topological spin textures. We theoretically investigate the possibility of a skyrmion crystal by…

Strongly Correlated Electrons · Physics 2022-07-04 Satoru Hayami , Ryota Yambe

We discover magnetic phases hosting highly-elusive and technologically important antiferromagnetic skyrmion quasiparicles in a model for Rashba-coupled Hund's insulator. The results are based on unbiased simulations of a classical…

Strongly Correlated Electrons · Physics 2021-04-21 Arnob Mukherjee , Deepak S. Kathyat , Sanjeev Kumar

Chiral skyrmion states exist in non - centrosymmetric magnetic crystals as a consequence of the asymmetric exchange Dzyaloshinskii-Moriya interactions that destroy the homogeneous magnetic state and generally lead to twisted incommensurate…

Mesoscale and Nanoscale Physics · Physics 2014-06-10 A. O. Leonov

Materials with $sp$-magnetism demonstrate strongly nonlocal Coulomb interactions, which opens a way to probe correlations in the regimes not achievable in transition metal compounds. By the example of Sn monolayer on SiC(0001) surface, we…

Strongly Correlated Electrons · Physics 2018-11-28 Danis I. Badrtdinov , Sergey A. Nikolaev , Alexander N. Rudenko , Mikhail I. Katsnelson , Vladimir V. Mazurenko

We consider ultracold matter of spin-2 atoms in optical lattices. We derive an effective Hamiltonian for the studies of spin ordering in Mott states and investigate hyperfine spin correlations. Particularly, we diagonalize the Hamiltonian…

Quantum Gases · Physics 2009-12-15 Michiel Snoek , Jun Liang Song , Fei Zhou

We report a significant Dzyaloshinskii-Moriya interaction (DMI) and perpendicular magnetic anisotropy (PMA) at interfaces comprising hexagonal boron nitride (h-BN) and Co. By comparing the behavior of these phenomena at graphene/Co and…

Materials Science · Physics 2021-09-15 Ali Hallal , Jinghua Liang , Fatima Ibrahim , Hongxin Yang , Albert Fert , Mairbek Chshiev

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

We determine the phase diagrams of anisotropic Kitaev-Heisenberg models on the honeycomb lattice using parton mean-field theories based on different Majorana fermion representations of the $S=1/2$ spin operators. Firstly, we use a…

Strongly Correlated Electrons · Physics 2024-02-21 Shahnam Ghanbari Saheli , Jennifer Lin , Huanzhi Hu , Frank Krüger

Motivated by the recent progress in engineering artificial non-Abelian gauge fields for ultracold fermions in optical lattices, we investigate the time-reversal-invariant Hofstadter-Hubbard model. We include an additional staggered lattice…

Skyrmions are topological spin textures of interest for fundamental science and applications. Previous theoretical studies have focused on systems with broken bulk inversion symmetry, where skyrmions are stabilized by easy-axis anisotropy.…

Strongly Correlated Electrons · Physics 2016-02-16 James Rowland , Sumilan Banerjee , Mohit Randeria

Using an ensemble of atoms in an optical cavity, we engineer a family of nonlocal Heisenberg Hamiltonians with continuously tunable anisotropy of the spin-spin couplings. We thus gain access to a rich phase diagram, including a…

We have numerically solved the Hamiltonian of an electron in a semiconductor double ring subjected to the magnetic flux and Rashba spin-orbit interaction. It is found that the Aharonov-Bohm energy spectrum reveals multi-zigzag periodic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wen-Hsuan Kuan , Chi-Shung Tang , Cheng-Hung Chang

We present theoretical studies of the influence of spin orbit coupling on the spin wave excitations of the Fe monolayer and bilayer on the W(110) surface. The Dzyaloshinskii-Moriya interaction is active in such films, by virtue of the…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 A. T. Costa , R. B. Muniz , S. Lounis , A. B. Klautau , D. L. Mills

This paper delves into the origins and specificity of the unique stable spin textures (360{\deg} closed loop domain walls and skyrmions) observed in exchange-biased systems, with either in-plane or out-of-plane magnetic anisotropy. In the…

Mesoscale and Nanoscale Physics · Physics 2025-08-01 Bernard Dieny , Olivier Fruchart , Ernesto E. Marinero

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…

Recent interest in monolayer materials motivated a search for two-dimensional ferromagnets with sizable spin-orbit coupling. Magnetic anisotropy of exchange Hamiltonian, induced by spin-orbit coupling, may not only stabilize long-range…

Strongly Correlated Electrons · Physics 2025-08-08 Kaushal K. Kesharpu , Pavel A. Maksimov

Motivated by recent neutron and x-ray observations in V$_2$O$_3$, we derive the effective Hamiltonian in the strong coupling limit of an Hubbard model with three degenerate t_{2g} states containing two electrons coupled to spin S = 1, and…

Strongly Correlated Electrons · Physics 2025-04-14 S. Di Matteo , N. B. Perkins , C. R. Natoli
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