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 …

Within the past 20 years or so, there has occurred an explosion of interest in the magnetic
behavior of pyrochlore oxides of the type A 2 3+ B 2 4+ O 7, where A is a rare-earth ion and …

In this article we review the effects of magnetic frustration in the stacked triangular lattice.
Frustration increases the degeneracy of the ground state, giving rise to different physics. In …

We study the possibility of√ 3×√ 3 antiferromagnetic order in the S= 1/2 triangular-and
Kagomé-lattice Heisenberg models. An Ising-like anisotropy is introduced into the …

Recent theoretical and experimental studies on the critical properties of frustrated
antiferromagnets with non-collinear spin order, including stacked-triangular …

We describe two-dimensional quantum spin fluctuations in a superconducting Abrikosov flux
lattice induced by a magnetic field applied to a doped Mott insulator. Complete numerical …

This review article is devoted to the interplay between frustrated magnetism and quantum
critical phenomena, covering both theoretical concepts and ideas as well as recent …

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 describe the zero-temperature phase diagram of a model of a two-dimensional square-
lattice array of neutral atoms, excited into Rydberg states and interacting via strong van der …

The results of extensive Monte Carlo simulations are reported on XY and Heisenberg
antiferromagnets on ad= 3-dimensional stacked-triangular lattice, which are expected to …