Lattice Monte Carlo for quantum Hall states on a torus

Article

关键词: WAVE-FUNCTIONS;    LANDAU-LEVEL;   

DOI  :  10.1103/PhysRevB.99.125123

来源: SCIE

【 摘 要 】

The Monte Carlo method is very useful for studying various model states proposed for the fractional quantum Hall systems. In this paper, we introduce a lattice Monte Carlo method based on an exact lattice formalism for quantum Hall problems defined on a torus. This lattice representation is applied to study the many body Berry phase of the composite-Fermi liquid phase in a half-filled Landau level. The Monte Carlo result agrees with the exact numerical result found on small systems sizes and is consistent with the prediction from the Dirac fermion low-energy effective theory. Many other aspects of other model states, including the structure factor, Coulomb energy and particle-hole symmetry, are studied and discussed.

【 授权许可】

Free