This article reviews the physics of high-temperature superconductors from the point of view
of the do** of a Mott insulator. The basic electronic structure of cuprates is reviewed …

The general low-energy theory of electrons interacting via repulsive short-range interactions
on graphene's honeycomb lattice at half-filling is presented. The exact symmetry of the …

We study the properties of a class of two-dimensional interacting critical states—dubbed
algebraic spin liquids—that can arise in two-dimensional quantum magnets. A particular …

We show that the emergent relativistic symmetry of electrons in graphene near its quantum
critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive …

We present the results of a conformal bootstrap study of the presumed unitary IR fixed point
of quantum electrodynamics in three dimensions (QED 3) coupled to N f= 4 two-component …

Interpreting RG flows as dynamical systems in the space of couplings we produce a variety
of constraints, global (topological) as well as local. These constraints, in turn, rule out some …

We employ the recent results on the generalization of the central charge theorem to three
spacetime dimensions to derive nonperturbative results for several strongly interacting …

We study the IR phase of three dimensional quantum electrodynamics (QED 3) coupled to N
f= 2 flavors of two-component Dirac fermions, which has been controversial for decades …

There is growing evidence from both experiment and numerical studies that low half-odd
integer quantum spins on a kagome lattice with predominant antiferromagnetic near …

We reexamine two-dimensional frustrated quantum magnetism with the aim of exploring
new critical points and critical phases. We study easy-plane triangular antiferromagnets …