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The Heisenberg model for S=1/2 describes the interacting spins of electrons localized on lattice sites due to strong repulsion. It is the simplest strong-coupling model in condensed matter physics with wide-spread applications. Its…

Strongly Correlated Electrons · Physics 2018-01-19 M. Powalski , K. P. Schmidt , G. S. Uhrig

In this work, a self-consistent thermodynamic approach to micromagnetism is presented. The magnetic degrees of freedom are modeled using the Landau-Lifshitz-Baryakhtar theory, that separates the different contributions to the magnetic…

Materials Science · Physics 2014-10-29 Mykola Dvornik , Arne Vansteenkiste , Bartel Van Waeyenberge

The extensive control of spin makes spintronics a promising candidate for future scalable quantum devices. For the generation of spin-superfluid systems, a detailed understanding of the build-up of coherence and relaxation is necessary.…

We present a general approach to the derivation of the effective anisotropy field which determines the dynamical behaviour of magnetic spins according to the Landau-Lifshitz-Gilbert equation. The approach is based on the gradient in…

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 G. A. P. Ribeiro , A. Klümper

We consider a kinetic model of self-propelled particles with alignment interaction and with precession about the alignment direction. We derive a hydrodynamic system for the local density and velocity orientation of the particles. The…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Jian-Guo Liu

A theoretical model based on the Landau-Lifshitz-Bloch equation is developed to study the spin-torque effect in ferrimagnets. Experimental findings, such as the temperature dependence, the peak in spin torque, and the angular-momentum…

Materials Science · Physics 2018-11-21 Zhifeng Zhu , Xuanyao Fong , Gengchiau Liang

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape…

Quantum Gases · Physics 2015-02-24 A. G. Volosniev , D. Petrosyan , M. Valiente , D. V. Fedorov , A. S. Jensen , N. T. Zinner

A new methodology is developed to integrate numerically the equations of motion for classical many-body systems in molecular dynamics simulations. Its distinguishable feature is the possibility to preserve, independently on the size of the…

Statistical Mechanics · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

We consider a class of non-standard, two-dimensional (2D) Hamiltonian models that may show features of active particle dynamics, and therefore, we refer to these models as active Hamiltonian (AH) systems. The idea is to consider a spin…

Statistical Mechanics · Physics 2024-09-24 Antik Bhattacharya , Jürgen Horbach , Smarajit Karmakar

We study in this paper the parallel spin current in an antiferromagnetic semiconductor thin film where we take into account the interaction between itinerant spins and lattice spins. The spin model is an anisotropic Heisenberg model. We use…

Materials Science · Physics 2010-12-30 K. Akabli , Yann Magnin , Masataka Oko , Isao Harada , Hung The Diep

The proliferation of quantum fluctuations and long-range entanglement presents an outstanding challenge for the numerical simulation of interacting spin systems with exotic ground states. Here, we present a toolset of Chebyshev…

Strongly Correlated Electrons · Physics 2024-02-28 Francisco M. O. Brito , Aires Ferreira

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative…

Statistical Mechanics · Physics 2015-07-20 Mebratu F. Wakeni , B. D. Reddy , A. T. McBride

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a structure-preserving and thermodynamically consistent finite…

Numerical Analysis · Mathematics 2024-09-23 Evan S. Gawlik , François Gay-Balmaz

The pure-quantum self-consistent harmonic approximation, a semiclassical method based on the path-integral formulation of quantum statistical mechanics, is applied to the study of the thermodynamic behaviour of the quantum Heisenberg…

Statistical Mechanics · Physics 2009-10-31 A. Cuccoli , V. Tognetti , P. Verrucchi , R. Vaia

A composite multiferroic chain with an interfacial linear magneto-electric coupling is used to study the magnetic and electric responses to an external magnetic or electric field. The simulation uses continuous spin dynamics through the…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Zidong Wang , Malcolm J. Grimson

We study thermodynamic properties as well as the dynamical spin and quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model with bilinear-biquadratic exchange interactions on the triangular lattice. Based on a…

Strongly Correlated Electrons · Physics 2016-03-01 Annika Völl , Stefan Wessel

We present \texttt{ESpinS} (Esfahan Spin Simulation) package to evaluate the thermodynamic properties of spin systems described by a spin model Hamiltonian. In addition to the Heisenberg exchange term, the spin Hamiltonian can contain…

Computational Physics · Physics 2021-08-17 Nafise Rezaei , Mojtaba Alaei , Hadi Akbarzadeh

We consider the dynamics of a diluted mean-field spin glass model in the aging regime. The model presents a particularly rich heterogeneous behavior. In order to catch this behavior, we perform a **spin-by-spin analysis** for a **given…

Disordered Systems and Neural Networks · Physics 2009-11-07 Andrea Montanari , Federico Ricci-Tersenghi

In this Letter, we derive a quantum nonlinear sigma model (QNLSM) for quantum Heisenberg antiferromagnets (QHA) with arbitrary S (spin) values. A upper limit of the low temperature is naturally carried out for the reliability of the QNLSM.…

Strongly Correlated Electrons · Physics 2009-11-11 Jianhui Dai , Wei-Min Zhang