Journal
PHYSICAL REVIEW B
Volume 85, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.85.024520
Keywords
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Funding
- NSF [1066293, PHY-0904017]
- NTNU
- Knut and Alice Wallenberg Foundation through the Royal Swedish Academy of Sciences
- Swedish Research Council
- National Science Foundation CAREER [DMR-0955902]
- DARPA QuEST
- Norwegian Research Council [205591/V30 (FRINAT)]
- Norwegian consortium for high-performance computing (NOTUR)
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [955902] Funding Source: National Science Foundation
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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.
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