Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states

Egil V. Herland, Egor Babaev, Parsa Bonderson, Victor Gurarie, Chetan Nayak, Asle Sudbø
2012 Physical Review B  
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
more » ... ss 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.
doi:10.1103/physrevb.85.024520 fatcat:7fe3dqrnm5hfbi7rhcrwnmz7xa