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

Journal Article · Mon Feb 04 00:00:00 EST 1991 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.66.659· OSTI ID:5819807

Wu, Y; Hatsugai, Y; Kohmoto, M ^[1]

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1. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (JP) Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106, Japan

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 {ital Z}{sub {ital n}} 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.

• OSTI ID: 5819807
• Journal Information: Physical Review Letters; (USA), Vol. 66:5; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRON GAS
HALL EFFECT
QUASI PARTICLES
GAUGE INVARIANCE
CHARGE STATE
CYLINDERS
EIGENSTATES
MANY-BODY PROBLEM
QUANTUM MECHANICS
QUANTUM NUMBERS
SYMMETRY
TOPOLOGY
WAVE FUNCTIONS
FLUIDS
FUNCTIONS
GASES
INVARIANCE PRINCIPLES
MATHEMATICS
MECHANICS
656000* - Condensed Matter Physics