Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
2012 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 85, no 2, 024520- p.Article in journal (Refereed) Published
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 wave functions 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.
Place, publisher, year, edition, pages
2012. Vol. 85, no 2, 024520- p.
IdentifiersURN: urn:nbn:se:kth:diva-75522DOI: 10.1103/PhysRevB.85.024520ISI: 000298985900009ScopusID: 2-s2.0-84856415744OAI: oai:DiVA.org:kth-75522DiVA: diva2:491004
FunderKnut and Alice Wallenberg FoundationSwedish Research Council
QC 201202062012-02-062012-02-062012-02-06Bibliographically approved