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 …

Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

The evolution of a Landau Fermi liquid into a non-magnetic Mott insulator with increasing
electronic interactions is one of the most puzzling quantum phase transitions in physics …

Motivated by experimental studies that have found signatures of a quantum spin liquid
phase in organic crystals whose structure is well described by the two-dimensional …

States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise
in a number of physical systems. Examples include (i) quantum critical points associated …

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 …

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 …

At strong repulsion, the triangular-lattice Hubbard model is described by s= 1/2 spins with
nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120° …

It has long been hoped that spin liquid states might be observed in materials that realize the
triangular-lattice Hubbard model. However, weak spin–orbit coupling and other small …

We study kinetic magnetism for the Fermi-Hubbard model in triangular lattices. We focus on
the regime of strong interactions, U≫ t, and filling factors around one electron per site. For …