CLASSIFICATION OF QUANTUM HALL UNIVERSALITY CLASSES BY W(1+INFINITY) SYMMETRY

被引:60
作者
CAPPELLI, A
TRUGENBERGER, CA
ZEMBA, GR
机构
[1] DIPARTIMENTO PHYS,I-50125 FLORENCE,ITALY
[2] MAX PLANCK INST PHYS & ASTROPHYS,D-80805 MUNICH,GERMANY
[3] IST NAZL FIS NUCL,I-10125 TURIN,ITALY
[4] DIPARTIMENTO FIS TEOR,I-10125 TURIN,ITALY
关键词
D O I
10.1103/PhysRevLett.72.1902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show how two-dimensional incompressible quantum fluids and their excitations can be viewed as W1+infinity edge conformal field theories, thereby providing an algebraic characterization of incompressibility. The Kac-Radul representation theory of the W1+infinity algebra leads then to a purely algebraic complete classification of hierarchical quantum Hall states, which encompasses all measured fractions. Spin-polarized electrons in single-layer devices can only have Abelian anyon excitations.
引用
收藏
页码:1902 / 1905
页数:4
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