Critical behavior of frustrated spin systems with nonplanar orderings

Details Critical behavior of frustrated spin systems with nonplanar orderings Critical behavior of frustrated spin systems with nonplanar orderings

2003-05-13

arxiv.org/abs/cond-mat/0305287v2

Phys. Rev. B 68, 104415 (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures, few corrections

Scientific paper

10.1103/PhysRevB.68.104415

The critical behavior of frustrated spin systems with nonplanar orderings is analyzed by a six-loop study in fixed dimension of an effective O$(N) \times $O$(M)$ Landau-Ginzburg-Wilson Hamiltonian. For this purpose the large-order behavior of the field theoretical expansion is determined. No stable fixed point is found in the physically interesting case of $M=N=3$, suggesting a first-order transition in this system. The large $N$ behavior is analyzed for $M=3, 4, 5$ and the line $N_c(d=3,M)$ which limits the region of second-order phase transition is computed.

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