Bloch-Wall Phase Transition in the Spherical Model

Details Bloch-Wall Phase Transition in the Spherical Model Bloch-Wall Phase Transition in the Spherical Model

1998-04-03

arxiv.org/abs/cond-mat/9804042v1

J. Phys. A: Math. Gen. 29, 2349-2364 (1996)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 2 figures

Scientific paper

10.1088/0305-4470/29/10/014

The temperature-induced second-order phase transition from Bloch to linear (Ising-like) domain walls in uniaxial ferromagnets is investigated for the model of D-component classical spin vectors in the limit D \to \infty. This exactly soluble model is equivalent to the standard spherical model in the homogeneous case, but deviates from it and is free from unphysical behavior in a general inhomogeneous situation. It is shown that the thermal fluctuations of the transverse magnetization in the wall (the Bloch-wall order parameter) result in the diminishing of the wall transition temperature T_B in comparison to its mean-field value, thus favouring the existence of linear walls. For finite values of T_B an additional anisotropy in the basis plane x,y is required; in purely uniaxial ferromagnets a domain wall behaves like a 2-dimensional system with a continuous spin symmetry and does not order into the Bloch one.

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