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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

Moir\'e patterns in magnetic bilayers generate spatially modulated interlayer exchange interactions that can give rise to nonuniform magnetic textures. We study a minimal classical bilayer Ising model with a moir\'e-modulated interlayer…

Statistical Mechanics · Physics 2026-01-29 Ryan Flynn , Anders W. Sandvik

In this paper we analyze spin waves in bilayers of two-dimensional van der Waals materials, like Vanadium based dichalcogenides, VX$_2$ (X=S, Se, Te) and other materials of similar symmetry. We assume that the materials exhibit…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Wojciech Rudziński , Józef Barnaś , Anna Dyrdał

We report the connection between the stacking order and magnetic properties of bilayer CrI$_3$ using first-principles calculations. We show that the stacking order defines the magnetic ground state. By changing the interlayer stacking order…

Materials Science · Physics 2018-11-19 Nikhil Sivadas , Satoshi Okamoto , Xiaodong Xu , Craig. J. Fennie , Di Xiao

Controlling the crystal structure is a powerful approach for manipulating the fundamental properties of solids. Unique to two-dimensional (2D) van der Waals materials, the control can be achieved by modifying the stacking order through…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Weijong Chen , Zeyuan Sun , Lehua Gu , Xiaodong Xu , Shiwei Wu , Chunlei Gao

The helical magnetic structures of cubic chiral systems are well-explained by the competition among Heisenberg exchange, Dzyaloshinskii-Moriya interaction, cubic anisotropy, and anisotropic exchange interaction (AEI). Recently, the role of…

Strongly Correlated Electrons · Physics 2023-11-30 Priya R. Baral , Oleg I. Utesov , Chen Luo , Florin Radu , Arnaud Magrez , Jonathan S. White , Victor Ukleev

We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer interactions, deriving effective models via perturbation theory and performing Majorana mean-field theory calculations. We show that a diverse array…

Strongly Correlated Electrons · Physics 2024-04-30 Aayush Vijayvargia , Urban F. P. Seifert , Onur Erten

The Dzyaloshinskii-Moriya interaction (DMI) has drawn great attention as it stabilizes magnetic chirality, with important implications in fundamental and applied research. This antisymmetric exchange interaction is induced by the broken…

Low-energy magnon excitations in multiferroic BiFeO$_3$ were measured in detail as a function of temperature around several Brillouin zone centers by inelastic neutron scattering experiments on single crystals. Unique features around 1 meV…

Materials Science · Physics 2014-09-15 Jaehong Jeong , Manh Duc Le , P. Bourges , S. Petit , S. Furukawa , Shin-Ae Kim , Seongsu Lee , S-W. Cheong , Je-Geun Park

We theoretically study a stabilization mechanism of the skyrmion crystal in centrosymmetric magnets with a bilayer structure. We show that the interplay between a layer-dependent staggered Dzyaloshinskii-Moriya interaction that arises from…

Strongly Correlated Electrons · Physics 2022-01-10 Satoru Hayami

The scenario of a metal-insulator transition driven by the onset of antiferromagnetic order in NaOsO$_3$ calls for a trustworthy derivation of the underlying effective spin Hamiltonian. To determine the latter we rely on {\it ab initio}…

Chirality is an inherent characteristics of some objects in nature. In magnetism chiral magnetic textures can be formed in systems with broken inversion symmetry and due to an antisymmetric magnetic interaction, known as…

Strongly Correlated Electrons · Physics 2025-07-02 Khalil Zakeri , Albrecht von Faber , Sergiy Mankovsky , Hubert Ebert

Layered {\alpha}-RuCl3 is a promising material to potentially realize the long-sought Kitaev quantum spin liquid with fractionalized excitations. While evidence of this exotic state has been reported under a modest in-plane magnetic field,…

An effective spin model for Mott insulators is determined by the symmetries involved among magnetic sites, electron fillings, and their interactions. Such a spin Hamiltonian offers insight to mechanisms of magnetic orders and magnetic…

Strongly Correlated Electrons · Physics 2022-08-05 Xiaoyu Liu , Derek Churchill , Hae-Young Kee

The exchange bias (EB) effect, arising from interfacial coupling between ferromagnetic (FM) and antiferromagnetic (AF) layers, induces a unidirectional magnetic anisotropy and underpins a wide range of spintronic functionalities. Extending…

Materials Science · Physics 2026-01-16 Balram Singh , Aman Singh , Stefan Mikulik , Jakub Jurczyk , Volker Neu , Amalio Fernández-Pacheco

We model Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212) bilayer system by an inversion symmetry broken and time reversal non invariant Bloch Hamiltonian H. The pseudo-gap phase of the bilayer is assumed to be chiral d density wave ordered. The…

Superconductivity · Physics 2021-12-16 Kakoli Bera , Udai Prakash Tyagi , Partha Goswami

The interfacial Dzyaloshinskii-Moriya interaction (DMI) is of great interest as it can stabilize chiral spin structures in thin films. Experiments verifying the orientation of the interfacial DMI vector remain rare, in part due to the…

Sr$_{3}$Cr$_{2}$O$_{8}$ consist of a lattice of spin-1/2 Cr$^{5+}$ ions, which form hexagonal bilayers and which are paired into dimers by the dominant antiferromagnetic intrabilayer coupling. The dimers are coupled three-dimensionally by…

Despite serious effort, the nature of the magnetic interactions and the role of electron-correlation effects in magnetic two-dimensional (2D) van der Waals materials remain elusive. Using CrI$_3$ as a model system, we show that the…

Materials Science · Physics 2021-02-04 Liqin Ke , Mikhail I. Katsnelson

Chromium triiodide, CrI$_3$, is emerging as a promising magnetic two-dimensional semiconductor where spins are ferromagnetically aligned within a single layer. Potential applications in spintronics arise from an antiferromagnetic ordering…

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