With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

We describe recent progress in our understanding of the interplay between interactions,
symmetry, and topology in states of quantum matter. We focus on a minimal generalization …

The phase diagrams and phase transitions of bosons with short-ranged repulsive
interactions moving in periodic and/or random external potentials at zero temperature are …

The effects of thermal fluctuations, quenched disorder, and anisotropy on the phases and
phase transitions in type-II superconductors are examined, focusing on linear and nonlinear …

Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

The fractional quantum Hall (FQH) states are shown to have q̃ fold g ground-state
degeneracy on a Riemann surface of genus g, where q̃ is the ground-state degeneracy in a …

The possibility of a new thermodynamic phase in the mixed state of bulk, disordered, type-II
superconductors is suggested: a vortex-glass superconductor. This phase lacks …

We propose a particle-hole symmetric theory of the Fermi-liquid ground state of a half-filled
Landau level. This theory should be applicable for a Dirac fermion in the magnetic field at …

The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …

It is argued that with increasing applied magnetic field, a disordered, superconducting thin
film will undergo a zero-temperature transition into an insulating state. At this …