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We study the thermodynamic properties of modified spin-$S$ Kitaev models introduced by Baskaran, Sen and Shankar (Phys. Rev. B 78, 115116 (2008)). These models have the property that for half-odd-integer spins their eigenstates map on to…

Strongly Correlated Electrons · Physics 2021-02-09 Owen Bradley , Jaan Oitmaa , Diptiman Sen , Rajiv R. P. Singh

We propose new algorithms for numerical integration of the equations of motion for classical spin systems with fixed spatial site positions. The algorithms are derived on the basis of a mid-point scheme in conjunction with the multiple time…

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

An extended atomistic spin model allowing for studies of the finite temperature magnetic properties of alloys is proposed. The model is obtained by extending the Heisenberg Hamiltonian via a parameterization from a first principles basis,…

Computational Physics · Physics 2017-06-07 Fan Pan , Jonathan Chico , Anna Delin , Anders Bergman , Lars Bergqvist

Numerical integration of a stochastic Landau-Lifshitz-Gilbert equation is used to study dynamic processes in single-domain nanoscale magnets at nonzero temperatures. Special attention is given to including thermal fluctuations as a Langevin…

Materials Science · Physics 2009-10-31 Gregory Brown , M. A. Novotny , Per Arne Rikvold

In recent years, a method for computing spin dynamics at infinite temperature (spinDMFT) was developed. It utilizes the ideas of dynamical mean-field theory for fermions: single-site approximation and a self-consistency condition to…

Strongly Correlated Electrons · Physics 2026-04-24 Przemysław Bieniek , Timo Gräßer , Götz S. Uhrig

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The current-induced magnetisation dynamics in a ferromagnet at elevated temperatures can be described by the Landau--Lifshitz--Bloch (LLB) equation with spin-torque terms. In this paper, we focus on the regime above the Curie temperature.…

Numerical Analysis · Mathematics 2025-06-30 Agus L. Soenjaya

Static and dynamic structure factors of Heisenberg ferrimagnetic spin chains are numerically investigated. There exist two distinct branches of elementary excitations, which exhibit ferromagnetic and antiferromagnetic aspects. The…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Toru Sakai

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an alternative…

Statistical Mechanics · Physics 2009-10-31 Gunter M. Schütz

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

Using a combination of quantum Monte Carlo simulations in adapted cluster bases, the finite temperature Lanczos method, and an effective Hamiltonian approach, we explore the thermodynamic properties of the spin-1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2023-11-23 Adrien Reingruber , Nils Caci , Stefan Wessel , Johannes Richter

In this article we apply a recently invented analytical real-space renormalization group formulation which is based on numerical concepts of the density matrix renormalization group. Within a rigorous mathematical framework we construct…

Statistical Mechanics · Physics 2009-10-31 Andreas Degenhard

The \textit{Spirit} framework is designed for atomic scale spin simulations of magnetic systems of arbitrary geometry and magnetic structure, providing a graphical user interface with powerful visualizations and an easy to use scripting…

The low-energy structure and the thermodynamic properties of ferrimagnetic Heisenberg chains of alternating spins $S$ and $s$ are investigated by the use of numerical tools as well as the spin-wave theory. The elementary excitations are…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Takahiro Fukui , Toru Sakai

The Projected Dynamics method was originally developed to study metastable decay in ferromagnetic discrete spin models. Here, we apply it to a classical, continuous Heisenberg model with anisotropic ferromagnetic interactions, which evolves…

Statistical Mechanics · Physics 2015-06-25 S. J. Mitchell , M. A. Novotny , Jose D. Munoz

The isothermal remanent magnetization is used to investigate dynamical magnetic properties of spatially three dimensional spin glasses with different spin dimensionality (Ising, XY, Heisenberg). The isothermal remanent magnetization is…

Disordered Systems and Neural Networks · Physics 2016-06-29 R. Mathieu , M. Hudl , P. Nordblad , Y. Tokunaga , Y. Kaneko , Y. Tokura , H. Aruga Katori , A. Ito

Structure-preserving integrators are in the focus of ongoing research because of their distinguished features of robustness and long time stability. In particular, their formulation for coupled problems that include dissipative mechanisms…

Computational Physics · Physics 2023-06-21 Dominik Kern , Ignacio Romero , Sergio Conde Martin , Juan Carlos Garcia-Orden

The competition between Hamiltonian and Lindblad dynamics in quantum systems give rise to non-equillibrium phenomena with no counter part in conventional condensed matter physics. In this paper, we investigate this interplay of dynamics in…

Quantum Physics · Physics 2024-01-31 Irfan A Dar , Faisal Farooq , Junaid Majeed , Mehboob Rashid , Sheikh Irfan , Muzaffar Qadir Lone

Motivated by a novel bimetallic chain compound in which alternating magnetic centers are ferromagnetically coupled, we investigate thermodynamic properties of one-dimensional spin-$(S,s)$ Heisenberg ferromagnets both numerically and…

Statistical Mechanics · Physics 2009-11-11 Shoji Yamamoto , Hiromitsu Hori

The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian…

Statistical Mechanics · Physics 2022-06-20 Pieter W. Claeys , Austen Lamacraft , Jonah Herzog-Arbeitman