Frustration in magnetic materials arising from competing exchange interactions can prevent
the system from adopting long-range magnetic order and can instead lead to a diverse …

We review ground states and excitations of a quantum antiferromagnet on triangular and
other frustrated lattices. We pay special attention to the combined effects of magnetic field h …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

We review the interplay of frustration and strong electronic correlations in quasi-two-
dimensional organic charge transfer salts, such as (BEDT-TTF) 2 X and Et n Me 4− n Pn [Pd …

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems
under a magnetic field is one of the most remarkable discoveries in condensed matter …

Electron correlation and spin frustration are among the central issues in condensed matter
physics, and their interplay is expected to bring about exotic phases with both charge and …

We study two-dimensional Heisenberg antiferromagnets with additional multispin
interactions which can drive the system into a valence-bond-solid state. For standard SU (2) …

Quantum liquids—known to be realized in 3He, 4He and electronsin metals—generally
exhibit instabilities unforeseen under classical Newtonian dynamics, such as the superfluid …

A quantum spin-liquid phase is an intriguing possibility for a system of strongly interacting
magnetic units in which the usual magnetically ordered ground state is avoided owing to …

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 …