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We discuss DC electric-field controls of superexchange interactions. We first present generic results about antiferromagnetic and ferromagnetic superexchange interactions valid in a broad class of Mott insulators, where we also estimate…

Strongly Correlated Electrons · Physics 2021-07-20 Shunsuke C. Furuya , Kazuaki Takasan , Masahiro Sato

A two dimensional ferromagnetic XY model with its bound vortex-antivortex dominated quasi long range ordered phase at low temperatures is a long standing as well as well studied problem of interest in the field of condensed matter. We…

Strongly Correlated Electrons · Physics 2026-04-07 Rajdip Banerjee , Satyaki Kar

We investigate an instability toward a square-lattice formation of magnetic skyrmions in centrosymmetric layered systems. By focusing on a bilayer square-lattice structure with the inversion center at the interlayer bond instead of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami

Linear spin wave theory shows that ring exchange induces a quantum disordered region in the phase diagram of the title model. Spin wave spectra show that this is a direct manifestation of competing classical orders. A spin liquid is found…

Strongly Correlated Electrons · Physics 2015-06-16 Michael Holt , Ben J. Powell , Jaime Merino

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

We examine the influence of an anisotropic interaction term of Dzyaloshinskii-Moriya (DM) type on the groundstate ordering of the J_1-J_2 spin-1/2-Heisenberg antiferromagnet on the square lattice. For the DM term we consider several…

Condensed Matter · Physics 2009-10-28 A. Voigt , J. Richter

We investigate the stability of the skyrmion crystal phase in a tetragonal polar system with the Dzyaloshinskii-Moriya interaction by focusing on the symmetry of ordering wave vectors forming the skyrmion crystal. Our analysis is based on…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami

We consider a helical system of fermions with a generic spin (or pseudospin) orbit coupling. Using the equation of motion approach for the single-particle distribution functions, and a mean-field decoupling of the higher order distribution…

Strongly Correlated Electrons · Physics 2017-12-13 Moslem Mir , Saeed H. Abedinpour

Magnetic skyrmions are mesmerizing spin textures with peculiar topological and dynamical properties, typically the product of competing interactions in ferromagnets, and with great technological potential [1-5]. Researchers have long…

We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on $T^2$ and we prove the existence of different types of solutions which exchange energy between Fourier modes in certain time scales. This exchange…

Analysis of PDEs · Mathematics 2021-02-24 Filippo Giuliani , Marcel Guardia , Pau Martin , Stefano Pasquali

The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators $\hat{S}_x,\hat{S}_y$ and $\hat{S}_z$ in three-dimensions. The considered Hamiltonian consists of bilinear…

Statistical Mechanics · Physics 2022-10-10 E. Albayrak

In this work, we study the extended Falicov-Kimball model at half-filling within the Hartree-Fock approach (HFA) (for various crystal lattices) and compare the results obtained with the rigorous ones derived within the dynamical mean field…

Strongly Correlated Electrons · Physics 2020-11-17 Konrad Jerzy Kapcia , Romuald Lemański , Marcin Jakub Zygmunt

Motivated by recent experiments on spin chain materials K$_2$CuSO$_4$Cl$_2$ and K$_2$CuSO$_4$Br$_2$, we theoretically investigate the problem of weakly coupled spin chains (chain exchange $J$, interchain $J'$) subject to a…

Strongly Correlated Electrons · Physics 2017-06-14 Wen Jin , Oleg A. Starykh

We develop a comprehensive description of static and dynamic spin-transfer torque at interfaces between a normal metal and a magnetic material. Specific examples of the latter include ferromagnets, collinear and noncollinear…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Yaroslav Tserkovnyak , Hector Ochoa

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

The instability toward a magnetic skyrmion crystal in centrosymmetric trilayer magnets is investigated based on a spin model with layer-dependent Dzayloshinskii-Moriya interaction. We find various types of skyrmion crystal phases with…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Satoru Hayami

Micromagnetic exchange is usually derived by performing the continuum limit of the Heisenberg model on a cubic lattice, where the exchange integrals are assumed to be identical for all nearest neighbors. This limitation normally imposes the…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 A. Di Pietro , P. Ansalone , V. Basso , A. Magni , G. Durin

Understanding of the interaction of antiferromagnetic solitons including domain walls and skyrmions with boundaries of chiral antiferromagnetic slabs is important for the design of prospective antiferromagnetic spintronic devices. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-04-12 Oleksandr V. Pylypovskyi , Artem V. Tomilo , Denis D. Sheka , Jürgen Fassbender , Denys Makarov

We have performed a systematic calculation for the non-Markovian dynamics of a localized electron spin interacting with an environment of nuclear spins via the Fermi contact hyperfine interaction. This work applies to an electron in the s…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , Daniel Loss

Explicit interactions, \textit{e.g.}, dipolar and exchange couplings, usually govern magnetization dynamics. Some interactions may be hidden from the global crystal symmetry. We report that in a large class of \textit{uniaxial}…

Mesoscale and Nanoscale Physics · Physics 2025-08-04 Xiyin Ye , Qirui Cui , Weiwei Lin , Tao Yu