Universal collective modes in two-dimensional chiral superfluids
Abstract
In this work, we utilize semiclassical kinetic equations to investigate the order parameter collective modes of a class of two-dimensional superfluids. Extending the known results for p-wave superfluids, we show that for any chiral ground state of angular momentum L ≥ 1, there exists a subgap mode with a mass √2Δ in the BCS limit, where Δ is the magnitude of the ground-state gap. We determine the most significant Landau parameter that contributes to the mass renormalization and show explicitly that the renormalized modes become massless at the Pomeranchuk instability of the fermion vacuum. Particularly for L = 1, we propose a continuous field theory to include the Fermi liquid effect in a quadrupolar channel and produce the same result under consistent approximations. Furthermore, they provide potential diagnostics for distinguishing two-dimensional chiral ground states of different angular momenta with the order parameter collective modes and reveal another low-energy degree of freedom near the nematic transition.
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1611249
- Alternate Identifier(s):
- OSTI ID: 1560726
- Grant/Contract Number:
- SC0009924; FG02-13ER41958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 9; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials science; Physics; Fermions; Methods in superconductivity; Order parameters; Spin-singlet pairing; Spin-triplet pairing; Superconducting fluctuations; Superconducting order parameter; Superconductivity
Citation Formats
Hsiao, Wei-Han. Universal collective modes in two-dimensional chiral superfluids. United States: N. p., 2019.
Web. doi:10.1103/physrevb.100.094510.
Hsiao, Wei-Han. Universal collective modes in two-dimensional chiral superfluids. United States. https://doi.org/10.1103/physrevb.100.094510
Hsiao, Wei-Han. Fri .
"Universal collective modes in two-dimensional chiral superfluids". United States. https://doi.org/10.1103/physrevb.100.094510. https://www.osti.gov/servlets/purl/1611249.
@article{osti_1611249,
title = {Universal collective modes in two-dimensional chiral superfluids},
author = {Hsiao, Wei-Han},
abstractNote = {In this work, we utilize semiclassical kinetic equations to investigate the order parameter collective modes of a class of two-dimensional superfluids. Extending the known results for p-wave superfluids, we show that for any chiral ground state of angular momentum L ≥ 1, there exists a subgap mode with a mass √2Δ in the BCS limit, where Δ is the magnitude of the ground-state gap. We determine the most significant Landau parameter that contributes to the mass renormalization and show explicitly that the renormalized modes become massless at the Pomeranchuk instability of the fermion vacuum. Particularly for L = 1, we propose a continuous field theory to include the Fermi liquid effect in a quadrupolar channel and produce the same result under consistent approximations. Furthermore, they provide potential diagnostics for distinguishing two-dimensional chiral ground states of different angular momenta with the order parameter collective modes and reveal another low-energy degree of freedom near the nematic transition.},
doi = {10.1103/physrevb.100.094510},
journal = {Physical Review B},
number = 9,
volume = 100,
place = {United States},
year = {Fri Sep 06 00:00:00 EDT 2019},
month = {Fri Sep 06 00:00:00 EDT 2019}
}
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Works referenced in this record:
Electron–electron interactions and the paired-to-nematic quantum phase transition in the second Landau level
journal, June 2018
- Schreiber, K. A.; Samkharadze, N.; Gardner, G. C.
- Nature Communications, Vol. 9, Issue 1
On the Nambu fermion-boson relations for superfluid
journal, March 2017
- Sauls, J. A.; Mizushima, Takeshi
- Physical Review B, Vol. 95, Issue 9
Collisionless collective modes in superfluid 3He
journal, May 1977
- Wölfle, P.
- Physica B+C, Vol. 90, Issue 1
Anisotropy and strong-coupling effects on the collective mode spectrum of chiral superconductors: application to Sr2RuO41
journal, June 2015
- Sauls, James A.; Wu, Hao; Chung, Suk Bum
- Frontiers in Physics, Vol. 3
The Dirac Composite Fermion of the Fractional Quantum Hall Effect
journal, March 2018
- Son, Dam Thanh
- Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
Quantum theory of a nematic Fermi fluid
journal, October 2001
- Oganesyan, Vadim; Kivelson, Steven A.; Fradkin, Eduardo
- Physical Review B, Vol. 64, Issue 19
Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015
- Lederer, S.; Schattner, Y.; Berg, E.
- Physical Review Letters, Vol. 114, Issue 9
Electromagnetic response of a superconductor: Effect of order-parameter collective modes
journal, August 2000
- Higashitani, S.; Nagai, K.
- Physical Review B, Vol. 62, Issue 5
Nematic Fermi Fluids in Condensed Matter Physics
journal, August 2010
- Fradkin, Eduardo; Kivelson, Steven A.; Lawler, Michael J.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
journal, October 2015
- Samkharadze, N.; Schreiber, K. A.; Gardner, G. C.
- Nature Physics, Vol. 12, Issue 2
Superfluidity and Bose excitations of 3He-films
journal, February 1982
- Brusov, P. N.; Popov, V. N.
- Physics Letters A, Vol. 87, Issue 9
Pomeranchuk Instability of Composite Fermi Liquids
journal, October 2018
- Lee, Kyungmin; Shao, Junping; Kim, Eun-Ah
- Physical Review Letters, Vol. 121, Issue 14
Collective Order Parameter Modes and Spin Fluctuations for Spin-Triplet Superconducting State in
journal, August 1999
- Tewordt, L.
- Physical Review Letters, Vol. 83, Issue 5
Amplitude/Higgs Modes in Condensed Matter Physics
journal, March 2015
- Pekker, David; Varma, C. M.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Probing topological superconductors with emergent gravity
journal, August 2018
- Golan, Omri; Stern, Ady
- Physical Review B, Vol. 98, Issue 6
The quasiclassical approach to superfluid 3He
journal, December 1983
- Serene, J. W.; Rainer, D.
- Physics Reports, Vol. 101, Issue 4
Investigating Anisotropic Quantum Hall States with Bimetric Geometry
journal, October 2017
- Gromov, Andrey; Geraedts, Scott D.; Bradlyn, Barry
- Physical Review Letters, Vol. 119, Issue 14
Effective theory of chiral two-dimensional superfluids
journal, May 2014
- Hoyos, Carlos; Moroz, Sergej; Son, Dam Thanh
- Physical Review B, Vol. 89, Issue 17
Onset of quantum criticality in the topological-to-nematic transition in a two-dimensional electron gas at filling factor
journal, July 2017
- Schreiber, K. A.; Samkharadze, N.; Gardner, G. C.
- Physical Review B, Vol. 96, Issue 4
The Dirac composite fermion of the fractional quantum Hall effect
journal, November 2016
- Son, Dam Thanh
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
Amplitude / Higgs Modes in Condensed Matter Physics
text, January 2014
- Pekker, David; Varma, C. M.
- arXiv
The Dirac Composite Fermion of the Fractional Quantum Hall Effect
text, January 2018
- Son, Dam Thanh
- arXiv
Works referencing / citing this record:
Boundary central charge from bulk odd viscosity: Chiral superfluids
journal, September 2019
- Golan, Omri; Hoyos, Carlos; Moroz, Sergej
- Physical Review B, Vol. 100, Issue 10