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Gauge invariance and fractional quantum Hall effect

Journal Article · · Phys. Rev. B: Condens. Matter; (United States)
It is shown that gauge-invariance arguments imply the possibility of the fractional quantum Hall effect; the Hall conductance is accurately quantized to a rational value. The ground state of a system showing the fractional quantum Hall effect must be degenerate; the nondegenerate ground state can only produce the integral quantum Hall effect.
Research Organization:
Department of Physics FM-15, University of Washington, Seattle, Washington 98195
DOE Contract Number:
AC06-81ER40048
OSTI ID:
6173938
Journal Information:
Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:2; ISSN PRBMD
Country of Publication:
United States
Language:
English

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