Quasiparticles in fractional quantum Hall effect edge theories

Article

关键词: CONFORMAL FIELD-THEORY;    DYNAMICAL CORRELATION-FUNCTIONS;    CALOGERO-SUTHERLAND MODEL;    EXCLUSION STATISTICS;    IMPURITY SCATTERING;    WZW MODELS;    IDEAL-GAS;    STATES;    TRANSPORT;    REPRESENTATIONS;   

DOI  :  10.1103/PhysRevB.58.15704

来源: SCIE

【 摘 要 】

We propose a quasiparticle formulation of effective edge theories for the fractional quantum Hall effect. For the edge of a Laughlin state with filling fraction (v) over dot = 1/m, our fundamental quasiparticles are edge electrons of charge -e and edge quasiholes of charge + e/m. These quasiparticles satisfy exclusion statistics in the sense of Haldane. We exploit algebraic properties of edge electrons to derive a kinetic equation for charge transport between a v = 1/m fractional quantum Hall edge and a normal metal. We also analyze alternative Boltzmann equations that are directly based on the exclusion statistics properties of edge quasiparticles. Generalizations to more general filling fractions (Jain series) are briefly discussed. [S0163-1829(98)03544-9].

【 授权许可】

Free