Abstract
We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has the form θ = π(1 − \( \frac{1}{k} \)) where k is a large integer, the problem can be solved by employing the method of bosonization, which maps the problem to that of an infinite number of bosonic excitations coupled to a U(1) Chern-Simons gauge field. The spectrum consists of a Goldstone boson branch and a large number of massive branches, each having roton minima and maxima. The dispersion curves asymptote to the Landau levels at large momentum.
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ArXiv ePrint: 2012.07991
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Du, YH., Mehta, U. & Son, D.T. Rotons in anyon superfluids. J. High Energ. Phys. 2021, 101 (2021). https://doi.org/10.1007/JHEP03(2021)101
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DOI: https://doi.org/10.1007/JHEP03(2021)101