Screening Properties and Phase Transitions in Unconventional Plasmas for Ising-Type Quantum Hall StatesPhysical Review B (2011)
AbstractUtilizing 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.
Publication DateNovember 1, 2011
Citation InformationEgil Herland, Egor Babaev, Parsa Bonderson, Victor Gurarie, et al.. "Screening Properties and Phase Transitions in Unconventional Plasmas for Ising-Type Quantum Hall States" Physical Review B Vol. 85 (2011)
Available at: http://works.bepress.com/egor_babaev/17/