Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
Abstract
Utilizing large-scale Monte-Carlo simulations, we investigate an unconventional two-component classical plasma in two dimensions which controls the behavior of the norms and overlaps of the quantum-mechanical wavefunctions of Ising-type quantum Hall states. The plasma differs fundamentally from that which is associated with the two-dimensional XY model and Abelian fractional quantum Hall states. We find that this unconventional plasma undergoes a Berezinskii-Kosterlitz-Thouless phase transition from an insulator to a metal. The parameter values corresponding to Ising-type quantum Hall states lie on the metallic side of this transition. This result verifies the required properties of the unconventional plasma used to demonstrate that Ising-type quantum Hall states possess quasiparticles with non-Abelian braiding statistics.
Keywords
Cite
@article{arxiv.1111.0135,
title = {Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states},
author = {Egil Herland and Egor Babaev and Parsa Bonderson and Victor Gurarie and Chetan Nayak and Asle Sudbø},
journal= {arXiv preprint arXiv:1111.0135},
year = {2012}
}
Comments
16 pages, 14 figures. Submitted to Physical Review B