Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene
Physical Review B - Condensed Matter and Materials Physics 85:20 (2012)
Abstract:
Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works, phase diagrams were calculated based on a single Landau level approximation. We go beyond this approximation and investigate the influence of polarization effects and virtual interband transitions on the stability of fractional quantum Hall states in bilayer graphene. We find that for realistic values of the dielectric constant, the phase diagram is strongly modified by these effects. We illustrate this by evaluating the region of stability of the Pfaffian state. © 2012 American Physical Society.Phase transitions in topological lattice models via topological symmetry breaking
New Journal of Physics 14 (2012)
Abstract:
We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detail a transition between a fully gapped achiral 2D p-wave superconductor (p + ip for pseudo-spin up/p - ip for pseudo-spin down) to an s-wave superconductor. We show in particular that this transition is of the 2D transverse field Ising universality class. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.Evaluation of Ranks of Real Space and Particle Entanglement Spectra for Large Systems
PHYSICAL REVIEW LETTERS 108:25 (2012) ARTN 256806
Multiparticle pseudopotentials for multicomponent quantum Hall systems
PHYSICAL REVIEW B 85:7 (2012) ARTN 075430