Domain wall roughening in dipolar films in the presence of disorder

Details Domain wall roughening in dipolar films in the presence of disorder Domain wall roughening in dipolar films in the presence of disorder

2001-10-10

arxiv.org/abs/cond-mat/0110202v2

Phys. Rev. E 65, 031608 (2002)

Physics

Condensed Matter

Statistical Mechanics

REVTEX, 35 pages, 2 figures. The text suffered minor changes and references 1,2 and 12 were added to conform with the referee'

Scientific paper

10.1103/PhysRevE.65.031608

We derive a low-energy Hamiltonian for the elastic energy of a N\'eel domain wall in a thin film with in-plane magnetization, where we consider the contribution of the long-range dipolar interaction beyond the quadratic approximation. We show that such a Hamiltonian is analogous to the Hamiltonian of a one-dimensional polaron in an external random potential. We use a replica variational method to compute the roughening exponent of the domain wall for the case of two-dimensional dipolar interactions.

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