The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

BACKGROUND Years ago, Lev Landau taught us how to think about distinct phases of
matter through an order parameter that characterizes the symmetry-broken state relative to …

The Kitaev model is an exactly solvable S= 1/2 spin model on a 2D honeycomb lattice, in
which the spins fractionalize into Majorana fermions and form a topological quantum spin …

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 …

Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

The experimental realization of quantum spin liquids is a long-sought goal in physics, as
they represent new states of matter. Quantum spin liquids cannot be described by the …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Frustrated magnets are materials in which localized magnetic moments, or spins, interact
through competing exchange interactions that cannot be simultaneously satisfied, giving rise …

We perform a density-matrix renormalization group (DMRG) study of the S= 1 2 Heisenberg
antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …