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The non-equilibrium dynamics of domain wall initial states in a classical anisotropic Heisenberg chain exhibits a striking coexistence of apparently linear and non-linear behaviours: the propagation and spreading of the domain wall can be…

统计力学 · 物理学 2024-02-06 Adam J. McRoberts , Thomas Bilitewski , Masudul Haque , Roderich Moessner

We report several exact intrinsic localized mode solutions of the classical spin evolution equation of a one-dimensional anisotropic Heisenberg ferromagnetic spin chain in terms of Jacobian elliptic functions. These include one, two and…

斑图形成与孤子 · 物理学 2014-06-17 M. Lakshmanan , B. Subash , Avadh Saxena

We develop a consistent semiclassical theory of spin dynamics for an isotropic ferromagnet with a spin $ S=1$ taking into consideration both bilinear and biquadratic over spin operators exchange interaction. For such non-Heisenberg magnets,…

其他凝聚态物理 · 物理学 2009-11-13 B. A. Ivanov , A. Yu. Galkin , R. S. Khymyn , A. Yu. Merkulov

We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We drive equations describing non-Heisenberg non-isotropic model using coherent states in real…

其他凝聚态物理 · 物理学 2015-05-14 Yousef Yousefi

We examine solitary waves in classical Heisenberg chains with an uniaxial anisotropy and a parallel magnetic field in a continuum approach. The boundary conditions commonly used are generalized to nonlinear spin wave states, which…

凝聚态物理 · 物理学 2007-05-23 John Schliemann , Franz G. Mertens

Discrete breathers (nonlinear localised modes) have been shown to exist in various nonlinear Hamiltonian lattice systems. In the present paper we study the dynamics of classical spins interacting via Heisenberg exchange on spatial…

凝聚态物理 · 物理学 2009-10-31 Y. Zolotaryuk , S. Flach , V. Fleurov

Domain walls of a discrete model of an anisotropic ferromagnet are studied. They can be described by sequences of two reversible mappings. Competition between the length scale of spatial structures and the lattice constant leads to a rich…

patt-sol · 物理学 2009-10-30 Benno Rumpf

Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2+1)-dimensional Landau-Lifshitz model. It is established that in the case of \vec S (\vec…

可精确求解与可积系统 · 物理学 2012-11-09 G. M. Pritula , V. E. Vekslerchik

We study the effective dynamics of ferromagnetic spin chains in presence of long-range interactions. We consider the Heisenberg Hamiltonian in one dimension for which the spins are coupled through power-law long-range exchange interactions…

This paper addressses the kinetics and dynamics of a family of domain wall solutions along classical antiferromagnetic Heisenberg spin chains at low energies. The equation of motion is derived and found to have long range position- and…

材料科学 · 物理学 2007-05-23 Raphael Blumenfeld

In this paper, equations describing one-dimensional Non-Heisenberg model are studied by use of generalized coherent states in real parameterization and then dissipative spin wave equation for dipole and quadrupole branches is obtained if…

强关联电子 · 物理学 2013-04-02 Yousef Yousefi , Khikmat Kh. muminov

In this paper, nonlinear equations describing one-dimensional non-Heisenberg ferromagnetic model are studied by use of generalized coherent states in a real parameterization. Also dissipative spin wave equation for dipole and quadruple…

强关联电子 · 物理学 2012-01-17 Khikmat Kh. Muminov , Yousef Yousefi

Motivated by the KPZ scaling recently observed in the classical ferromagnetic Heisenberg chain, we investigate the role of solitonic excitations in this model. We find that the Heisenberg chain, although well-known to be non-integrable,…

统计力学 · 物理学 2022-12-22 Adam J. McRoberts , Thomas Bilitewski , Masudul Haque , Roderich Moessner

The elementary excitation spectrum of the spin-$\frac{1}{2}$ antiferromagnetic (AFM) Heisenberg chain is described in terms of a pair of freely propagating spinons. In the case of the Ising-like Heisenberg Hamiltonian spinons can be…

强关联电子 · 物理学 2015-05-19 Indrani Bose , Amit Kumar Pal

We numerically investigate elementary excitations of the Heisenberg alternating-spin chains with two kinds of spins 1 and 1/2 antiferromagnetically coupled to each other. Employing a recently developed efficient Monte Carlo technique as…

统计力学 · 物理学 2009-10-30 Shoji Yamamoto , S. Brehmer , H. -J. Mikeska

We study the nonlinear dynamics of collective excitation in a $N$-site $XXZ$ quantum spin chain, which is manipulated by an oblique magnetic field. We show that, when the tilted field is applied along the magic angle $\theta_{0} =\pm\arccos…

量子物理 · 物理学 2009-11-13 Jing Lu , Lan Zhou , Le-Man Kuang , C. P. Sun

We report a stable magnetic domain wall in a uniform ferromagnetic spin-1 condensate, characterized by the magnetization having a dark soliton profile with nonvanishing superfluid density. We find exact stationary solutions for a particular…

量子气体 · 物理学 2021-04-21 Xiaoquan Yu , P. B. Blakie

We obtain the exact one-spin intrinsic localized excitation in an anisotropic Heisenberg ferromagnetic spin chain in a constant/variable external magnetic field with Gilbert damping included. We also point out how an appropriate magnitude…

介观与纳米尺度物理 · 物理学 2018-05-04 M. Lakshmanan , Avadh Saxena

When charged particles in periodic lattices are subjected to a constant electric field, they respond by oscillating. Here we demonstrate that the magnetic analogue of these Bloch oscillations are realised in a one-dimensional ferromagnetic…

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

强关联电子 · 物理学 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux
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