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Gauge invariance of fractionally charged quasiparticles and hidden topological Z(n) symmetry

Authors
  • Wu, Y.S.
  • Hatsugai, Y.
  • Kohmoto, M.
Publication Date
Jan 01, 1991
Identifiers
DOI: 10.1103/PhysRevLett.66.659
OAI: oai:inspirehep.net:317022
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

Abstract

Using the braid-group formalism we study the consequences of gauge invariance for fractionally charged anyonic quasiparticles in a two-dimensional multiply connected system. It is shown that gauge invariance requires multicomponent wave functions, and leads to the emergence of a hidden topological Zn symmetry with associated quantum number and unavoidable occurrence of level crossings for many-body eigenstates. In certain situations, it relates the fractional charge to anyon statistics. The implications for the fractional quantum Hall effect are also discussed.

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