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- W1983661223 abstract "The mean field equations for anyons in an external homogeneous magnetic field are studied and two classes of mean field solutions are explicitly constructed. The first class of solutions, corresponding to one filled Landau level in the combined external and smeared out statistical magnetic fields, is compared to the corresponding exact groundstate solutions. The energies are found to agree well at low densities and when the statistical field is not too strong compared to the background field. At high densities the fermi pressure increases the mean field energy indefinitely. The mean field solutions also miss the lower part of the energy spectrum. To the second class of mean field solutions no corresponding anyon state is known. These solutions represent the anyonic continuation of the fermi state with two filled Landau levels." @default.
- W1983661223 created "2016-06-24" @default.
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- W1983661223 date "1993-05-15" @default.
- W1983661223 modified "2023-09-27" @default.
- W1983661223 title "MEAN FIELD APPROXIMATION FOR ANYONS IN A MAGNETIC FIELD" @default.
- W1983661223 doi "https://doi.org/10.1142/s0217979293002833" @default.
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