Rotons in Anyon Superfluids

Autor: Du, Yi-Hsien, Mehta, Umang, Son, Dam Thanh
Rok vydání: 2020
Předmět:
Zdroj: J. High Energ. Phys. 2021, 101 (2021)
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP03(2021)101
Popis: 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 $\theta=\pi (1-\frac{1}{k})$ 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.
Comment: 19 pages, 2 figures; clarifications added, typos fixed
Databáze: arXiv