We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

This article is devoted to the study of the critical properties of classical XY and Heisenberg
frustrated magnets in three dimensions. We first analyze the experimental and numerical …

We investigate the controversial issue of the existence of universality classes describing
critical phenomena in three-dimensional systems characterized by a matrix order parameter …

We study the critical behavior of frustrated spin models with noncollinear order, including
stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field …

We consider the Landau–Ginzburg–Wilson Hamiltonian with O (n)× O (m) symmetry and
compute the critical exponents at all fixed points to O (n− 2) and to O (ϵ3) in a ϵ= 4− d …

Abstract The Landau-Wilson field theory with O (n)× O (m) symmetry which describes the
critical thermodynamics of frustrated spin systems with noncollinear and noncoplanar …

XY frustrated magnets exhibit an unusual critical behavior: they display scaling laws
accompanied by nonuniversal critical exponents and a negative anomalous dimension. This …

We compute the renormalization group functions of a Landau–Ginzburg–Wilson
Hamiltonian with O (n)× O (m) symmetry up to five-loop in minimal subtraction scheme. The …

The fixed point that governs the critical behavior of magnets described by the N-vector chiral
model under the physical values of N (N= 2, 3) is shown to be a stable focus both in two and …

We introduce new fast canonical local algorithms for discrete and continuous spin systems.
We show that for a broad selection of spin systems they compare favorably to the known …