Multiphase region of helimagnetic superlattices at low temperature in an extended six-state clock model

Details Multiphase region of helimagnetic superlattices at low temperature in an extended six-state clock model Multiphase region of helimagnetic superlattices at low temperature in an extended six-state clock model

2006-01-02

arxiv.org/abs/cond-mat/0601033v2

J. Phys. A, 39 (2006) 5681-5694

Physics

Condensed Matter

Statistical Mechanics

Latex, 16 pages, 3 figures Revision: expanded appendix and discussion of implications; new figures; now published

Scientific paper

10.1088/0305-4470/39/20/004

The variety of magnetic phases observed in rare-earth heterostructures at low temperatures \cite{Jehan}, such as Ho/Y, may be elucidated by an ANNNI-like model Hamiltonian. In previous work modelling bulk Ho \cite{Seno}, such a Hamiltonian with a one-dimensional parameter space produced a single multiphase point. In contrast, the parameter space of the heterostructure model is three-dimensional, and instead of an isolated multiphase point, we find two-dimensional multiphase regions. In an example of Villain's ``order from disorder'' \cite{Villain80a,Villain91}, an infinitesimal temperature breaks the ground-state degeneracy. In first order of a low-temperature expansion, we find that the degeneracy is broken everywhere in a multiphase region except on a line. A segment of the line appears to remain multiphase to all orders in a low-temperature expansion when the number $L$ of magnetic layers between non-magnetic spacers is 4 but not for other values of $L$. For L=4, the hierarchy of phases more closely resembles that in the ANNNI model than in the bulk six-state clock model on which the present model is based.

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