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This paper deals with the analysis of a coupled problem arising from linear magneto-elastostaticity. The model, which can be derived by an energy principle, gives valuable insight into the coupling mechanism and features a saddle point…

Analysis of PDEs · Mathematics 2018-02-20 Mané Harutyunyan , Bernd Simeon

It is of common knowledge that the direction of easy axis in the finite-size ferromagnetic sample is controlled by its shape. In the present paper we show that a similar phenomenon should be observed in the compensated antiferromagnets with…

Statistical Mechanics · Physics 2010-03-16 Helen V. Gomonay , Vadim M. Loktev

A phenomenological theory of magnetic states in noncentrosymmetric tetragonal antiferromagnets is developed, which has to include homogeneous and inhomogeneous terms (Lifshitz-invariants) derived from Dzyaloshinskii-Moriya couplings.…

Strongly Correlated Electrons · Physics 2009-11-07 A. N. Bogdanov , U. K. Roessler , M. Wolf , K. -H. Muller

We study SU(4)-symmetric ultracold fermionic mixture in the cubic optical lattice with the variable tunneling amplitude along one particular crystallographic axis in the crossover region from the two- to three-dimensional spatial geometry.…

Quantum Gases · Physics 2024-09-04 Vladyslav Unukovych , Andrii Sotnikov

We study the energy of a ferromagnetic/antiferromagnetic frustrated spin system with values on two disjoint circumferences of the 3-dimensional unit sphere in a one-dimensional and two-dimensional domain. It consists on the sum of a term…

Mathematical Physics · Physics 2023-09-26 Andrea Kubin , Lorenzo Lamberti

The spherical spin model with infinite-range ferromagnetic interactions is investigated analytically in the framework of non-extensive thermostatics generalizing the Boltzmann-Gibbs statistical mechanics. We show that for repulsive…

Statistical Mechanics · Physics 2008-12-18 Robert Botet , Marek Ploszajczak , Jorge A. Gonzalez

We present a theoretical investigation of the magnetic and thermodynamic properties of the triangular spin-1/2 cluster with Dzyaloshinskii-Moriya (DM) interaction, described by a spin-1/2 Heisenberg Hamiltonian with antisymmetric exchange…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Jordana Torrico , Romulo A. Silva , S. M. de Souza , Onofre Rojas

Inertial manifold theory, saddle point property and exponential dichotomy have been treated as different topics in the literature with different proofs. As a common feature, they all have the purpose of `splitting' the space to understand…

Topological excitations in magnetically ordered systems have attracted much attention lately. We report on topological magnon bands in ferromagnetic Shastry-Sutherland lattices whose edge modes can be put to use in magnonic devices. The…

Strongly Correlated Electrons · Physics 2019-05-16 M. Malki , G. S. Uhrig

On the two-dimensional non-linear $\Sigma$-model describing a ferromagnet with Dzyaloshinskii-Moriya interaction, we build three families of exact static solutions depending on a single Cartesian variable. One of them describes a clockwise…

Strongly Correlated Electrons · Physics 2021-01-07 Nicolás Grandi , Marcela Lagos , Julio Oliva , Aldo Vera

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp}$ hopping amplitudes at…

Strongly Correlated Electrons · Physics 2021-03-19 Marcin Raczkowski , Fakher F. Assaad , Masatoshi Imada

A helix has a wavevector along the z axis with the magnetic moments ferromagnetically-aligned within xy planes with a turn angle kd between the moments in adjacent planes in transverse field Hx = 0. The magnetic structure and x-axis average…

Strongly Correlated Electrons · Physics 2019-09-20 David C. Johnston

Motivated by the intriguing properties of magnetic molecular wheels at field induced level crossings, we investigate the spin-Peierls instability of antiferromagnetic rings in a field by exact diagonalizations of a microscopic spin model…

Strongly Correlated Electrons · Physics 2009-05-29 Valeria Lante , Ioannis Rousochatzakis , Karlo Penc , Oliver Waldmann , Frédéric Mila

We derive a free energy for weakly anisotropic ferromagnets which is valid in the whole temperature range and interpolates between the micromagnetic energy at zero temperature and the Landau free energy near the Curie point T_c. This free…

Statistical Mechanics · Physics 2009-10-31 H. Kachkachi , D. A. Garanin

The magnetic properties of metal-organic complexes are strongly influenced by conformational changes in the ligand. The flexibility of Fe-tetra-pyridyl-porphyrin molecules leads to different adsorption configurations on a Au(111) surface.…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Daniela Rolf , Christian Lotze , Constantin Czekelius , Benjamin W. Heinrich , Katharina J. Franke

The analytical model is developed for description of skyrmions and skyrmion-like magnetic structures in a two-sublattice antiferromagnet with uniaxial magnetic anisotropy and Dzyaloshinskii-Moriya interaction. Relativistic contraction of…

Mesoscale and Nanoscale Physics · Physics 2019-12-09 O. Yu. Gorobets , Yu. I. Gorobets , V. S. Kovalenko

The thermodynamics of a site-diluted ferromagnetic Heisenberg model for spin $S=1/2$ with interaction anisotropy in spin space is investigated. The study is aimed at presenting the magnetocaloric properties of such a model, including the…

Statistical Mechanics · Physics 2013-04-09 Karol Szałowski , Tadeusz Balcerzak , Andrej Bobák

We consider the anisotropic quantum Heisenberg antiferromagnet (with anisotropy $\lambda$) on a square lattice using a Chern-Simons (or Wigner-Jordan) approach. We show that the Average Field Approximation (AFA) yields a phase diagram with…

High Energy Physics - Theory · Physics 2009-10-28 Ana Lopez , A. G. Rojo , Eduardo Fradkin

We investigate the formation and dynamics of spin textures in antiferromagnetic insulators adjacent to a heavy-metal substrate with strong spin-orbit interactions. Exchange coupling to conduction electrons engenders an effective anisotropy,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ricardo Zarzuela , Yaroslav Tserkovnyak

We study structure of the gapless points (diabolical points) at zero magnetic field ($H_z=0$) of single-spin models with spin anisotropies. Nontrivial appearance of diabolical points at finite transverse field $H_x$ has been studied from…

Mesoscale and Nanoscale Physics · Physics 2009-05-19 Keigo Hijii , Seiji Miyashita