This review describes how topological order associated with the presence of emergent
gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational …

Magnetic insulators have proved to be fertile ground for studying new types of quantum
many-body state, and I survey recent experimental and theoretical examples. The insights …

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice,
interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization …

We analyze the effect of quenched disorder on spin-1/2 quantum magnets in which
magnetic frustration promotes the formation of local singlets. Our results include a theory for …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

The kagome-lattice quantum Heisenberg antiferromagnet is studied by a large-N expansion
based upon groups with symplectic Sp (N) symmetry. Two distinct types of ground states are …

We present the critical theory of a number of zero-temperature phase transitions of quantum
antiferromagnets and interacting boson systems in two dimensions. The most important …

A system with charge conservation and lattice translation symmetry has a well-defined filling
ν, which is a real number representing the average charge per unit cell. We show that if ν is …

We develop a new theoretical framework for describing and analyzing exotic phases of
strongly correlated electrons which support excitations with fractional quantum numbers …

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental
importance in several areas of physics ranging from high-energy physics to condensed …