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A simple derivation of the effective spin-wave Hamiltonian for a double-exchange system with infinitely large Hund's-rule coupling is demonstrated. The formalism can be applied to models with arbitrary range of hopping as well as those with…

Strongly Correlated Electrons · Physics 2007-05-23 Nobuo Furukawa , Yukitoshi Motome

We experimentally and theoretically demonstrate that nonlinear spin-wave dynamics can induce an effective resonant interaction between non-resonant magnon modes in a yttrium iron garnet disk. Under strong pumping near the ferromagnetic…

Spin dynamics in spatially inhomogeneous magnetic fields is studied within the framework of Boltzmann theory. Stern-Gerlach-like separation of spin up and spin down electrons occurs in ballistic and diffusive regimes, before spin relaxation…

Condensed Matter · Physics 2007-05-23 Jaroslav Fabian , S. Das Sarma

Spin waves propagating in magnetic materials exhibit nonlinear behavior at large amplitudes due to the competition between excitation and relaxation, providing an attractive platform for exploring nonlinear wave dynamics. In particular,…

We study the dynamics of entanglement in spin gases. A spin gas consists of a (large) number of interacting particles whose random motion is described classically while their internal degrees of freedom are described quantum-mechanically.…

Quantum Physics · Physics 2007-05-23 J. Calsamiglia , L. Hartmann , W. Dür , H. -J. Briegel

A variety of astronomical phenomena appear to not satisfy the ergodic hypothesis in the relevant stationary state, if any. As such, there is no reason for expecting the applicability of Boltzmann-Gibbs (BG) statistical mechanics. Some of…

Statistical Mechanics · Physics 2011-07-19 Constantino Tsallis , Domingo Prato , Angel R. Plastino

Magnetic properties for the one-dimensional multicomponent quantum spin system with the excitation gap are studied based on the integrable spin model introduced by Bariev {\it et al}. By exactly computing the magnetization, we show how the…

Strongly Correlated Electrons · Physics 2009-11-07 Akira Kawaguchi , Tatsuya Fujii , Norio Kawakami

The homogeneous entropy for continuous systems in nonextensive statistics reads $S^{H}_{q}=k_B\,{(1 - (K \int d\Gamma \rho^{1/q}(\Gamma))^{q})}/({1-q})$, where $\Gamma$ is the phase space variable. Optimization of $S^{H}_{q}$ combined with…

Statistical Mechanics · Physics 2010-07-01 J. P. Boon , J. F. Lutsko

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

In this review, we trace the evolution of the quantum spin-wave theory treating non-collinear spin configurations. Non-collinear spin configurations are consequences of the frustration created by competing interactions. They include simple…

Materials Science · Physics 2022-09-15 Hung T. Diep

Gibbs-Boltzmann entropy leads to systems that have a strong dependence on initial conditions. In reality, most materials behave quite independently of initial conditions. Nonextensive entropy or Tsallis entropy leads to nonextensive…

Statistical Mechanics · Physics 2022-07-01 Saman Amiri , Mahdi Mirzaee , Mohammad Mazhari

The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. The non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. In…

Statistical Mechanics · Physics 2016-02-17 Julius Ruseckas

Many complex systems are characterized by non-Boltzmann distribution functions of their statistical variables. If one wants to -- justified or not -- hold on to the maximum entropy principle for complex statistical systems (non-Boltzmann)…

Statistical Mechanics · Physics 2009-11-13 Stefan Thurner , Rudolf Hanel

We study the zero-temperature spin fluctuations of a two-dimensional itinerant-electron system with an incommensurate magnetic ground state described by a single-band Hubbard Hamiltonian. We introduce the (broken-symmetry) magnetic phase at…

Strongly Correlated Electrons · Physics 2009-10-31 E. Arrigoni , G. C. Strinati

This work investigates a quantum system described by a Hamiltonian operator in a two dimensional noncommutative space. The system consists of an electron subjected to a perpendicular magnetic field $\mathbf{B}$, coupled to a harmonic…

Quantum Physics · Physics 2025-11-27 Bienvenu Gnim Adewi , Isiaka Aremua

A completely Lorentz-invariant Bohmian model has been proposed recently for the case of a system of non-interacting spinless particles, obeying Klein-Gordon equations. It is based on a multi-temporal formalism and on the idea of treating…

Quantum Physics · Physics 2014-11-21 Sergio Hernandez-Zapata , Ernesto Hernandez-Zapata

Time-dependent spin phenomena in condensed matter are most often either described in the weakly correlated limit of metallic Stoner/Slater-like magnetism via band theory or in the strongly correlated limit of Heisenberg-like interacting…

Strongly Correlated Electrons · Physics 2016-10-14 Malte Behrmann , Alexander I. Lichtenstein , Mikhail I. Katsnelson , Frank Lechermann

The original canonical ensemble formalism for the nonextensive entropy thermostatistics is reconsidered. It is shown that the unambiguous connection of the statistical mechanics with the equilibrium thermodynamics is provided if the…

Statistical Mechanics · Physics 2009-11-11 A. S. Parvan

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

Statistical Mechanics · Physics 2009-10-31 Peter Szepfalusy , Gergely Szirmai

We study the excitation spectrum and dynamical response functions for several quasi-one-dimensional spin systems in magnetic fields without dipolar spin order transverse to the field. This includes both nematic phases, which harbor "hidden"…

Strongly Correlated Electrons · Physics 2014-04-04 Oleg A. Starykh , Leon Balents