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We propose a Hamiltonian dynamics formalism for the current and magnetic field driven dynamics of ferromagnetic and antiferromagnetic domain walls in one dimensional systems. To demonstrate the power of this formalism, we derive Hamilton…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Davi R. Rodrigues , Karin Everschor-Sitte , Oleg A. Tretiakov , Jairo Sinova , Ar. Abanov

The (group and spin space) matrix Hamiltonian describing the dynamics of a nonrelativistic spin 1/2 particle moving in a static, but spatially dependent, non-Abelian magnetic field in two spatial dimensions is shown to take the form of an…

High Energy Physics - Phenomenology · Physics 2011-07-28 T. E. Clark , S. T. Love , S. R. Nowling

We investigate a multipartite ferromagnetic model without self-interactions between spins of the same party, so that the Hamiltonian is not a definite quadratic form of the magnetisations. We find the free energy and study the phase…

Mathematical Physics · Physics 2016-04-20 Giuseppe Genovese , Daniele Tantari

We present a theoretical analysis of the properties of low-dimensional quantum antiferromagnets in applied magnetic fields. In a nonlinear sigma model description, we use a spin stiffness analysis, a 1/N expansion, and a renormalization…

Strongly Correlated Electrons · Physics 2017-09-27 B. Normand , Jordan Kyriakidis , Daniel Loss

The one-dimensional Hatano-Nelson model with non-reciprocal hoppings is a prominent example of a relatively simple non-Hermitian quantum-mechanical system, which allows to study various phenomena in open quantum systems without adding extra…

Strongly Correlated Electrons · Physics 2025-09-11 Eduard Naichuk , Ilya M. Eremin , Jeroen van den Brink , Flavio S. Nogueira

We propose a framework to construct a real-space spin model based on the inverse Hamiltonian design. The method provides an efficient way of realizing unconventional topological spin textures by optimizing the interaction parameters. In…

Strongly Correlated Electrons · Physics 2025-05-01 Kazuki Okigami , Satoru Hayami

Vector Hamiltonian formalism (VHF) for the description of a weakly nonlinear magnetization dynamics has been developed. Transformation from the traditional Landau-Lifshitz equation, describing dynamics of a magnetization vector…

Materials Science · Physics 2020-11-30 Vasyl Tyberkevych , Andrei Slavin , Petro Artemchuk , Graham Rowlands

We performed inelastic neutron scattering experiments on single crystal samples of a linear magnetoelectric material Mn$_{3}$Ta$_{2}$O$_{8}$, which exhibits a collinear antiferromagnetic order, to reveal the spin dynamics. Numerous modes…

Strongly Correlated Electrons · Physics 2025-04-08 Hodaka Kikuchi , SHunsuke Hasegawa , Shinichiro Asai , Tao Hong , Kenta Kimura , Tsuyoshi Kimura , Shinichi Itoh , Takatsugu Masuda

Effective dynamics of conduction electrons in antiferromagnetic (AFM) materials with slowly varying spin texture is developed via non-Abelian gauge theory. Quite different from the ferromagnetic (FM) case, the spin of a conduction electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ran Cheng , Qian Niu

We report comprehensive thermodynamic and neutron scattering measurements on the $S$ = 3/2 antiferromagnet Cs$_2$CoI$_4$, a member of the thoroughly studied family of frustrated magnets Cs$_2MX_4$ ($M$ = Cu, Co, Ru, $X$ = Br, Cl, I, O).…

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

In order to describe the impact of different geometric structures and constraints for the dynamics of a Hamiltonian system, in this paper, for a magnetic Hamiltonian system defined by a magnetic symplectic form, we first drive precisely the…

Symplectic Geometry · Mathematics 2022-06-16 Hong Wang

We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the…

Statistical Mechanics · Physics 2023-11-09 Adam J. McRoberts , Hongzheng Zhao , Roderich Moessner , Marin Bukov

The two-layer square lattice quantum antiferromagnet with spins 1/2 shows a magnetic order-disorder transition at a critical ratio of the interplane to intraplane couplings. We investigate the dynamics of a single hole in a bilayer…

Strongly Correlated Electrons · Physics 2009-10-31 Matthias Vojta , Klaus W. Becker

The characterization and manipulation of deposited magnetic clusters or molecules on surfaces is a prerequisite for their future utilization. In recent years techniques like spin-flip inelastic electron tunneling spectroscopy using a…

Strongly Correlated Electrons · Physics 2019-03-25 H. -T. Langwald , J. Schnack

Magnetization reversal in a fine ferromagnetic grain is simulated for the case of an instantaneously applied reversal magnetic field. The Hamiltonian of the system contains the exchange interaction, the uniaxial anisotropy, the Zeeman…

Materials Science · Physics 2007-05-23 Vladimir L. Safonov , H. Neal Bertram

We outline a theory describing the quasi-classical dynamics of composite fermions in the fractional quantum Hall regime in the potentials of arbitrary nanostructures. By an appropriate parametrization of time we show that their trajectories…

Condensed Matter · Physics 2009-10-28 R. Fleischmann , T. Geisel , C. Holzknecht , R. Ketzmerick

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different behaviour caused by the way of updating is studied in detail for the…

Disordered Systems and Neural Networks · Physics 2016-08-16 D. Bollé , J. Busquets Blanco

Altermagnetism is a compensated magnetic phase characterized by zero net magnetization and exchange-driven spin splitting. However, identifying altermagnets among collinear antiferromagnets usually requires full magnetic-space-group or…

Materials Science · Physics 2026-05-27 Ying Chen , Qiushi Huang , Yu Wu , Xiaolan Yan , Su-Huai Wei

We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the {\it trimerized} version of the spin-1/2 {\it kagome} antiferromagnet. Using…

Strongly Correlated Electrons · Physics 2008-12-08 Michel Ferrero , Federico Becca , Frédéric Mila
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