Magnetic properties of the finite-length biatomic chains in the framework of the single domain-wall approximation

Abstract

A simple analytical method for study the magnetic properties of the finite-length biatomic chains in the framework of Heisenberg model with uniaxial magnetic anisotropy is proposed. The method allows to estimate the reversal time of the magnetization of ferromagnetic and antiferromagnetic biatomic chains. Three cases are considered: the spontaneous remagnetization, the remagnetization under the interaction with a scanning tunneling microscope, and the remagnetization in the external magnetic field. The applicability limits of the method are discussed. Within its limits of applicability the method gives results which are in perfect agreement with the results of the kinetic Monte Carlo simulations. As the examples, two physical systems are considered: biatomic Fe chains on Cu2N/Cu(001) surface and biatomic Co chains on Pt(997) surface. The presented method is incomparably less time-consuming than the standard kMC simulations, especially in the cases of low temperatures or long chains.

An improved kinetic Monte Carlo model for computational and analytical investigations of the magnetic properties of finite-size atomic chains

“…The presented improved kMC models can be easily generalized on the case of nonzero external magnetic field or on the case of interaction of the atomic chain with a STM tip. It is also very important to underline that the analytical approach [27][28][29][30] can be successfully used to estimation of the reversal time of the magnetization. The analytical method is incomparably less time-consuming than the kMC simulations, especially in the case of the improved kMC model II.…”

“…So, first of all we remember the simple kMC model. At the end of this Section the analytical method [27][28][29][30] which allows to estimate the reversal time of magnetization of atomic chains is shortly discussed.…”

“…The thickness of the domain wall can be estimated as δN = J/2K atoms [29,33]. We can distinguish two different cases: J K and J K. Let us discuss the first case.…”

“…The reversal time of the magnetization of the atomic chain can be easily calculate in the framework of a single domain-wall approximation [27][28][29][30]. The idea of this method is the following.…”

Improved kinetic Monte Carlo models for computational and analytical investigations of the magnetic properties of finite-size atomic chains

“…All these states have the same energy. The thickness of the domain wall can be estimated as δN = |J|/2K atoms [34]. The stability of the domain walls is guaranteed by two factors.…”