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 …

This review addresses the method of explicit calculations of interatomic exchange
interactions of magnetic materials. This involves exchange mechanisms normally referred to …

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 …

We present the electronic band structures of states with the same symmetry as the three-
sublattice planar antiferromagnetic order of the triangular lattice. Such states can also be …

Quantum magnets provide the simplest example of strongly interacting quantum matter, yet
they continue to resist a comprehensive understanding above one spatial dimension. We …

We consider a SU (2) lattice gauge theory on the square lattice, with a single fundamental
complex fermion and a single fundamental complex boson on each lattice site. Projective …

We study a model of fermions on the square lattice at half-filling coupled to an Ising gauge
theory that was recently shown in Monte Carlo simulations to exhibit Z 2 topological order …

Duality refers to two equivalent descriptions of the same theory from different points of view.
Recently there has been tremendous progress in formulating and understanding possible …

The interplay of symmetry and topology has been at the forefront of recent progress in
quantum matter. Here, we uncover an unexpected connection between band topology and …

Continuous quantum phase transitions beyond the conventional paradigm of fluctuations of
a symmetry-breaking order parameter are challenging for theory. These phase transitions …