Topological properties of Abelian and non-Abelian quantum Hall states classified using patterns of zeros

Article

关键词: OPERATOR PRODUCT ALGEBRA;    EDGE EXCITATIONS;    WAVE-FUNCTIONS;    LANDAU-LEVEL;    DEGENERACY;    ELECTRONS;    FLUID;    ORDER;   

DOI  :  10.1103/PhysRevB.78.155109

来源: SCIE

【 摘 要 】

It has been shown that different Abelian and non-Abelian fractional quantum Hall states can be characterized by patterns of zeros described by sequences of integers {S(a)}. In this paper, we will show how to use the data {S(a)} to calculate various topological properties of the corresponding fraction quantum Hall state, such as the number of possible quasiparticle types and their quantum numbers, as well as the actions of the quasiparticle tunneling and modular transformations on the degenerate ground states on torus.

【 授权许可】

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