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 …

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 discuss physical properties of “integer” topological phases of bosons in D= 3+ 1
dimensions, protected by internal symmetries like time reversal and/or charge conservation …

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 describe the confining instabilities of a proposed quantum spin liquid underlying the
pseudogap metal state of the hole-doped cuprates. The spin liquid can be described by a …

The observation of a large Nernst signal e N in an extended region above the critical
temperature T c in hole-doped cuprates provides evidence that vortex excitations survive …

We present a general hydrodynamic theory of transport in the vicinity of superfluid-insulator
transitions in two spatial dimensions described by “Lorentz”-invariant quantum critical points …

Recent transport experiments in the original cuprate high temperature superconductor, La
2− x Ba x CuO 4, have revealed a remarkable sequence of transitions and crossovers that …

Motivated by the recent experimental breakthroughs in observing fractional quantum
anomalous Hall (FQAH) states in moiré materials, we propose and study various …