Fractional flux lattice and the anyon mean-field approximation
- Physics Department, University of California, Santa Barbara, California 93106 (United States)
The anyon mean-field approximation (MFA) is tested by computing the band structure of a charged particle in an infinite two-dimensional square lattice of infinitesimal flux tubes. The band structure and density of states are compared with the MFA and found to be in agreement for {Phi}=1/{ital n}, with {ital n}{gt}3. For {Phi}=1/2 and 1/3, there is no gap, unlike the MFA which predicts a gap. For {Phi}={ital m}/{ital n} (with {ital m}{gt}1), there is a gap, opening up the possibility that a superfluid may form for any rational value of the statistical parameter. A physical realization of the {Phi}=1/2 flux lattice is proposed and a connection between the {Phi}={ital m}/{ital n} lattice and the fractional quantum Hall effect is discussed.
- OSTI ID:
- 5079315
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Vol. 44:22; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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