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- W1978222480 abstract "Small systems of particles which obey fractional statistics with statistics parameter ensuremath{alpha}=1/2, i.e., semions, on a lattice are studied by numerical diagonalization. The change in ground-state energy due to flux enclosure is calculated for various sizes of square lattices with periodic boundary conditions. Partial use is made of the translational symmetry properties of anyons on lattices with toroidal geometry. Using finite-size scaling, it is argued that the system exhibits true flux quantization, a signature of superfluidity, at rational fillings of the lattice less than 1/2. In agreement with previous work, no evidence of superfluidity is observed at lattice filling ensuremath{nu}=1/2. However, in contrast to previous numerical studies, the results for ensuremath{nu}>1/2 are noticeably different than those for ensuremath{nu}1/2. In particular, the signature of flux quantization generally is weaker for ensuremath{nu}>1/2 and, in fact, is absent for some densities. These results are discussed in the context of a mean-field treatment of anyons on a lattice." @default.
- W1978222480 created "2016-06-24" @default.
- W1978222480 creator A5060627417 @default.
- W1978222480 date "1993-11-01" @default.
- W1978222480 modified "2023-09-25" @default.
- W1978222480 title "Flux quantization for semions on a torus" @default.
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- W1978222480 doi "https://doi.org/10.1103/physrevb.48.13742" @default.
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