Rotons in anyon superfluids

Du, Yi-Hsien; Mehta, Umang; Son, Dam Thanh

doi:10.1007/jhep03(2021)101

Rotons in anyon superfluids

Journal Article · Tue Mar 09 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)101· OSTI ID:1821659

Du, Yi-Hsien ^[1]; Mehta, Umang ^[2]; Son, Dam Thanh ^[2]

Univ. of Chicago, IL (United States); UChicago
Univ. of Chicago, IL (United States)

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 - 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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009924

OSTI ID:: 1821659

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (15)

Higher-Spin Theory of the Magnetorotons Golkar, Siavash; Nguyen, Dung Xuan; Roberts, Matthew M. arXiv https://doi.org/10.48550/arxiv.1602.08499	text	January 2016
Particle-hole symmetry and composite fermions in fractional quantum Hall states Nguyen, Dung Xuan; Golkar, Siavash; Roberts, Matthew M. arXiv https://doi.org/10.48550/arxiv.1709.07885	text	January 2017
On the theory of identical particles Leinaas, J. M.; Myrheim, J. Il Nuovo Cimento B Series 11, Vol. 37, Issue 1 https://doi.org/10.1007/BF02727953	journal	January 1977
Statistical mechanics of anyons Arovas, Daniel P.; Schrieffer, Robert; Wilczek, Frank Nuclear Physics B, Vol. 251 https://doi.org/10.1016/0550-3213(85)90252-4	journal	January 1985
Landau-Ginzburg description of anyonic superconductors Banks, Thomas; Lykken, Joseph D. Nuclear Physics B, Vol. 336, Issue 3 https://doi.org/10.1016/0550-3213(90)90439-K	journal	June 1990
Random-phase approximation in the fractional-statistics gas Fetter, A. L.; Hanna, C. B.; Laughlin, R. B. Physical Review B, Vol. 39, Issue 13 https://doi.org/10.1103/PhysRevB.39.9679	journal	May 1989
Collective-excitation energies of an interacting anyon gas Cheng, Szu-Cheng Physical Review B, Vol. 47, Issue 22 https://doi.org/10.1103/PhysRevB.47.15208	journal	June 1993
Bosonization of Fermi liquids Castro Neto, A. H.; Fradkin, Eduardo Physical Review B, Vol. 49, Issue 16 https://doi.org/10.1103/PhysRevB.49.10877	journal	April 1994
Exact electromagnetic response of Landau level electrons Nguyen, Dung Xuan; Gromov, Andrey Physical Review B, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevB.95.085151	journal	February 2017
Particle-hole symmetry and composite fermions in fractional quantum Hall states Nguyen, Dung Xuan; Golkar, Siavash; Roberts, Matthew M. Physical Review B, Vol. 97, Issue 19 https://doi.org/10.1103/PhysRevB.97.195314	journal	May 2018
Higher-Spin Theory of the Magnetorotons Golkar, Siavash; Nguyen, Dung Xuan; Roberts, Matthew M. Physical Review Letters, Vol. 117, Issue 21 https://doi.org/10.1103/PhysRevLett.117.216403	journal	November 2016
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations Laughlin, R. B. Physical Review Letters, Vol. 50, Issue 18 https://doi.org/10.1103/PhysRevLett.50.1395	journal	May 1983
Fractional Statistics and the Quantum Hall Effect Arovas, Daniel; Schrieffer, J. R.; Wilczek, Frank Physical Review Letters, Vol. 53, Issue 7 https://doi.org/10.1103/PhysRevLett.53.722	journal	August 1984
On Anyon Superconductivity Chen, Yi-Hong; Wilczek, Frank; Witten, Edward International Journal of Modern Physics B, Vol. 03, Issue 07 https://doi.org/10.1142/S0217979289000725	journal	July 1989
Superconductivity of an interacting anyon system Yang, J.; Su, W. P.; Ting, C. S. International Journal of Modern Physics B, Vol. 05, Issue 10 https://doi.org/10.1142/S0217979291001498	journal	June 1991

Similar Records

Anyons as quon particles

Journal Article · Mon Mar 14 23:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States) · OSTI ID:5239123

Anyonization and superfluidity of lattice Chern-Simmons theory

Journal Article · Thu Feb 27 23:00:00 EST 1992 · Modern Physics Letters A; (United States) · OSTI ID:5397750

Anyonization of lattice Chern-Simons theory

Journal Article · Wed Jul 01 00:00:00 EDT 1992 · Annals of Physics (New York); (United States) · OSTI ID:7198135

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Anyons
Chern-Simons Theories
Effective Field Theories
Topological States of Matter

Rotons in anyon superfluids

Citation Formats

References (15)

Similar Records

Related Subjects