Anyons on a torus

Journal Article · Mon Oct 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.6110· OSTI ID:6392161

Wen, X G; Dagotto, E; Fradkin, E ^[1]

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1. Institute for Theoretical Physics, University of California, Santa Barbara, CA (USA)

We show that the states of an anyon system on a torus are not completely determined by the positions of the anyons. There are {ital q} states for each fixed anyon configuration if the statistics of the anyons is given by {theta}={ital p}{pi}/{ital q}. We explicitly construct the lattice Hamiltonian for the anyon system on the torus. The Hamiltonian is shown, both analytically and numerically, to respect the translation symmetries and the rotation symmetries. The flux of the anyon system is found to be quantized in units of 2{pi}/{ital q}, without any shift. We also write down the effective Hamiltonian for the holons (with {theta}={pi}/2) in the chiral spin state.

• DOE Contract Number: AC02-76ER02220
• OSTI ID: 6392161
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:10; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHARGE STATES
FLUX QUANTIZATION
HAMILTONIANS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
QUASI PARTICLES
STABILITY
SYMMETRY