Gauge symmetry and non-abelian topological sectors in a geometrically constrained model on the honeycomb lattice

(2006)

Authors:

Paul Fendley, Joel E Moore, Cenke Xu

Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect

ArXiv cond-mat/0610700 (2006)

Authors:

A Mildenberger, F Evers, AD Mirlin, JT Chalker

Abstract:

We investigate numerically the quasiparticle density of states $\varrho(E)$ for a two-dimensional, disordered superconductor in which both time-reversal and spin-rotation symmetry are broken. As a generic single-particle description of this class of systems (symmetry class D), we use the Cho-Fisher version of the network model. This has three phases: a thermal insulator, a thermal metal, and a quantized thermal Hall conductor. In the thermal metal we find a logarithmic divergence in $\varrho(E)$ as $E\to 0$, as predicted from sigma model calculations. Finite size effects lead to superimposed oscillations, as expected from random matrix theory. In the thermal insulator and quantized thermal Hall conductor, we find that $\varrho(E)$ is finite at E=0. At the plateau transition between these phases, $\varrho(E)$ decreases towards zero as $|E|$ is reduced, in line with the result $\varrho(E) \sim |E|\ln(1/|E|)$ derived from calculations for Dirac fermions with random mass.

Analysis of trapped quantum degenerate dipolar excitons

Applied Physics Letters 89:15 (2006)

Authors:

R Rapaport, G Chen, S Simon

Abstract:

The dynamics of quantum degenerate two-dimensional dipolar excitons confined in electrostatic traps is analyzed and compared to recent experiments. The model results stress the importance of artificial trapping for achieving and sustaining a quantum degenerate exciton fluid in such systems and suggest that a long-lived, spatially uniform, and highly degenerate exciton system was experimentally produced in those electrostatic traps. © 2006 American Institute of Physics.

Topological Quantum Compiling

(2006)

Authors:

L Hormozi, G Zikos, NE Bonesteel, SH Simon

The effect of optically-induced random anisotropic disorder on a two-dimensional electron system

Solid State Communications 140:2 (2006) 94-99

Authors:

GP Melhuish, AS Plaut, SH Simon, MC Holland, CR Stanley

Abstract:

We have studied the effect of optically-induced random, anisotropic disorder on the magnetoresistance of a Al0.3Ga0.7As/ GaAs two-dimensional electron system by exposing the heterojunction to an asymmetric laser speckle pattern. Changes in the amplitude of the Shubnikov-de Haas oscillations can be explained in terms of easy and hard conductivity paths parallel and perpendicular to the long axis of the oval speckle grains. We also observe corresponding changes in the electron scattering rates. © 2006 Elsevier Ltd. All rights reserved.