Generalized Helimagnets Between Two and Four Dimensions

Details Generalized Helimagnets Between Two and Four Dimensions Generalized Helimagnets Between Two and Four Dimensions

1995-12-21

arxiv.org/abs/cond-mat/9512147v1

Phys. Rev. Lett. 76, 3148 (1996)

Physics

Condensed Matter

11 pages, REVTeX3.0 + epsf, 3 figures, uuencoded file (1 .tex + 3 .eps files)

Scientific paper

10.1103/PhysRevLett.76.3148

We study the phase transitions of N-components generalized helimagnets that obey the symmetry breaking pattern O(N) x O(N-1) -> O(N-1)_diag . In the neighborhood of two dimensions, a D=2+epsilon renormalization group study reveals a rich fixed point structure as well as a nematic-like phase with partial spin ordering. In the physical case O(3) x O(2) -> O(2)_diag , relevant to real magnets with noncollinear ordering, we show that this implies an XY-like transition between the ordered phase and the nematic-like phase. A non-Abelian mean-field calculation qualitatively valid above four dimensions is shown to lead to the same picture but then the principal chiral fixed point, which had been proposed earlier as the relevant fixed point for D=3 helimagnets, plays no role due to the appearance of a first-order line.

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