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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
Subjects: Q Science > QC Physics
Journal or Publication Title: JOURNAL OF PHYSICS-CONDENSED MATTER
Publisher: IOP PUBLISHING LTD
ISSN: 0953-8984
Date: 10 June 1991
Volume: 3
Number: 23
Number of Pages: 7
Page Range: pp. 4241-4247
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/22655

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