Screening properties and phase transitions in unconventional plasmas for   Ising-type quantum Hall states
  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. 
Egil Herland, Egor Babaev, Parsa Bonderson, Victor Gurarie, Chetan   Nayak, Asle Sudb{\o}
cond-mat.stat-mech cond-mat.mes-hall cond-mat.str-el