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Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Statistical Physics.
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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
Abstract [en]

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.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-75522DOI: 10.1103/PhysRevB.85.024520ISI: 000298985900009Scopus ID: 2-s2.0-84856415744OAI: oai:DiVA.org:kth-75522DiVA: diva2:491004
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council
Note
QC 20120206Available from: 2012-02-06 Created: 2012-02-06 Last updated: 2017-12-08Bibliographically approved

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