Domain-wall profile in the presence of anisotropic exchange interactions: Effective on-site anisotropy

Details Domain-wall profile in the presence of anisotropic exchange interactions: Effective on-site anisotropy Domain-wall profile in the presence of anisotropic exchange interactions: Effective on-site anisotropy

2003-07-05

arxiv.org/abs/cond-mat/0307120v2

Phys. Rev. B 69, 212403 (2004)

Physics

Condensed Matter

Materials Science

4 pages; new title and abstract; 1 figure comparing our results with earlier numerical work; a more general model containing t

Scientific paper

10.1103/PhysRevB.69.212403

Starting from a D-dimensional XXZ ferromagnetic Heisenberg model in an hypercubic lattice, it is demonstrated that the anisotropy in the exchange coupling constant leads to a D-dependent effective on-site anisotropy interaction often ignored for D>1. As a result the effective width of the wall depends on the dimensionality of the system. It is shown that the effective one-dimensional Hamiltonian is not the one-dimensional XXZ version as assumed in previous theoretical work. We derive a new expression for the wall profile that generalizes the standard Landau-Lifshitz form. Our results are found to be in very good agreement with earlier numerical work using the Monte Carlo method. Preceding theories concerning the domain wall contribution to magnetoresistance have considered the role of D only through the modification of the density of states in the electronic band structure. This Brief Report reveals that the wall profile itself contains an additional D dependence for the case of anisotropic exchange interactions.

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