This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …

We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …

We present a general review of the projective symmetry group classification of fermionic
quantum spin liquids for lattice models of spin S= 1/2. We then introduce a systematic …

We propose a novel quantum spin liquid state that can explain many of the intriguing
experimental properties of the low-temperature phase of the organic spin liquid candidate …

Theoretical studies of magnets have traditionally concentrated on either classical spins, or
the extreme quantum limit of spin-1/2. However, magnets built of spin-1 moments are also …

Motivated by recent experiments on the Heisenberg S= 1/2 quantum spin liquid candidate
material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin …

We apply field theory methods to SU (3) chains in the symmetric representation, with p
boxes in the Young tableau, map** them into a flag manifold nonlinear σ-model with a …

We show that, in the presence of a π/2 artificial gauge field per plaquette, Mott insulating
phases of ultracold fermions with SU (N) symmetry and one particle per site generically …

We investigate the quantum phases of the frustrated spin-1 2 J 1-J 2-J 3 Heisenberg model
on the square lattice with ferromagnetic J 1 and antiferromagnetic J 2 and J 3 interactions …