Solitary excitations in one-dimensional magnets

Statistical mechanics of kinks in 1+1 dimensions: Numerical simulations and double-Gaussian approximation

“…This model is of direct relevance to the study of displacive phase transitions [6] and magnetic spin chains [7]. Moreover, the behavior of this model is representative of a large class of soliton-bearing systems.…”

Two-dimensional magnetic solitons and thermodynamics of quasi-two-dimensional magnets

“…Majority of methods of soliton examination in 1D magnets are connected with analysis of dynamical response functions which are studied by neutron-scattering measurements and besides by decay of electron and nuclear spin waves, see [1,2]. These methods also were used for the analysis of 2D magnets [3,4,15].…”

“…Now our equation of soliton motion has a form of Fokker-Plank equation for the particle moving in x, y-plane, or for the charge in the magnetic field when G = 0. In the scope of this approach, which is widely used for 1D solitons, see review articles [1,2,51] we can calculate F (q, ω) and spin correlators for any relation between these parameters, such as viscousity η, gyroforce G, effective mass m * , and temperature T . Note that the problem of average spin gas velocity is more complex for the case of nonlocalized solitons, i.e.…”

“…One of the principle application of solitons is connected with the important role of solitonical solutions in the physics of quasi-onedimensional (1D) ordered systems, first of all, 1D magnets, see reviews [1,2]. The topological 1D solitons, so-called kinks, are substantial for the thermodynamics of 1D magnetism.…”

Discrete breathers in an one-dimensional array of magnetic dots

“…Many of these phenomena, such as magnetic solitons, domain walls, vortices are well studied and documented in scientific literature [12,13]. Owing to the fact that they are well described by the continuum version of the LandauLifshitz (LL) equation, these solutions can be treated analytically.…”