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

Article

关键词: 2-DIMENSIONAL COULOMB GAS;    ONE-COMPONENT PLASMA;    MONTE-CARLO;    XY-MODEL;    2 DIMENSIONS;    NUMERICAL SIMULATIONS;    STATISTICAL-MECHANICS;    CRITICAL-TEMPERATURE;    MELTING TRANSITION;    HELICITY MODULUS;   

DOI  :  10.1103/PhysRevB.85.024520

来源: SCIE

【 摘 要 】

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.

【 授权许可】

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