Quasiparticles in fractional quantum Hall effect edge theories

被引:33
作者
van Elburg, RAJ
Schoutens, K
机构
[1] Univ Amsterdam, Van Der Waals Zeeman Inst, NL-1018 XE Amsterdam, Netherlands
[2] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands
来源
PHYSICAL REVIEW B | 1998年 / 58卷 / 23期
关键词
D O I
10.1103/PhysRevB.58.15704
中图分类号
T [工业技术];
学科分类号
08 ;
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].
引用
收藏
页码:15704 / 15716
页数:13
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