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FRACTIONAL QUANTUM HALL STATES ON A SQUARE LATTICE
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UNSPECIFIED (1991) FRACTIONAL QUANTUM HALL STATES ON A SQUARE LATTICE. JOURNAL OF PHYSICS-CONDENSED MATTER, 3 (23). pp. 4241-4247. ISSN 0953-8984.
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Abstract
We calculate the ground state energies and wavefunctions for small systems of fermions on a lattice using singly and doubly periodic boundary conditions. We find minima in the ground state energy when the magnetic flux per plaquette corresponds to filling fractions with odd denominators. We interpret these minima in terms of fractional quantum Hall states. The pair correlation function at nearest and next-nearest neighbours is calculated as a function of the repulsive interaction strength between particles.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | JOURNAL OF PHYSICS-CONDENSED MATTER | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0953-8984 | ||||
Official Date: | 10 June 1991 | ||||
Dates: |
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Volume: | 3 | ||||
Number: | 23 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 4241-4247 | ||||
Publication Status: | Published |
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