Band geometry plays a substantial role in topological lattice models. The Berry curvature,
which resembles the effect of magnetic field in reciprocal space, usually fluctuates …

The ν= 1 2+ 1 2 quantum Hall bilayer has been previsously modeled using Chern-Simons-
RPA-Eliashberg (CSRPAE) theory to describe pairing between the two layers. However …

The anomalous quantum Hall conductivity in the 2+ 1 D topological insulators in the
absence of interactions may be expressed as the topological invariant composed of the two …

In recent experiments, external anisotropy has been a useful tool to tune different phases
and study their competitions. In this paper, we look at the quantum Hall charge density wave …

The Bloch theorem in ordinary quantum mechanics means the absence of the total electric
current in equilibrium. In the present paper, we analyze the possibility that this theorem …

Vortexes in superfluids are a critical part of quantum optics, quantum dynamics studies and
quantum physics in general. The behavior of vortexes is modeled by models such as the …

We study the neutral excitations of fractional quantum Hall states in electronic systems of
finite width where an external anisotropy is introduced by tilting the magnetic field. As in the …

The topological properties in quantum Hall systems are thoroughly studied in the past thirty
years. In constrast, the geometric aspects of quantum Hall systems are far from being fully …