Bosonic Superfluid on the Lowest Landau Level

Moroz, Sergej; Son, Dam Thanh

doi:10.1103/PhysRevLett.122.235301

Title: Bosonic Superfluid on the Lowest Landau Level

Abstract

We develop a low-energy effective field theory of a two-dimensional bosonic superfluid on the lowest Landau level at zero temperature and identify a Berry term that governs the dynamics of coarse-grained superfluid degrees of freedom. For an infinite vortex crystal we compute how the Berry term affects the low-energy spectrum of soft collective Tkachenko oscillations and nondissipative Hall responses of the particle number current and stress tensor. This term gives rise to a quadratic in momentum term in the Hall conductivity, but does not generate a nondissipative Hall viscosity.

Authors:

Moroz, Sergej ^[1]; Son, Dam Thanh ^[2]

Technical Univ. of Munich (Germany); Munich Center for Quantum Science and Technology (MCQST) (Germany)
Univ. of Chicago, IL (United States)

Publication Date:: Tue Jun 11 00:00:00 EDT 2019

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

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

OSTI Identifier:: 1593854

Alternate Identifier(s):: OSTI ID: 1546401

Grant/Contract Number:: SC0009924; FG02-13ER41958; 63834-PH-MUR; EXC-2111-390814868

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 122; Journal Issue: 23; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Vortex lattices; Vortices in superconductors; Vortices in superfluids; Duality

Citation Formats


                    Moroz, Sergej, and Son, Dam Thanh. Bosonic Superfluid on the Lowest Landau Level.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.122.235301.

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                    Moroz, Sergej, & Son, Dam Thanh. Bosonic Superfluid on the Lowest Landau Level.  United States.  https://doi.org/10.1103/PhysRevLett.122.235301

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                    Moroz, Sergej, and Son, Dam Thanh. Tue .  
"Bosonic Superfluid on the Lowest Landau Level".  United States.  https://doi.org/10.1103/PhysRevLett.122.235301.  https://www.osti.gov/servlets/purl/1593854.

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@article{osti_1593854,

  title        = {Bosonic Superfluid on the Lowest Landau Level},

  author       = {Moroz, Sergej and Son, Dam Thanh},

  abstractNote = {We develop a low-energy effective field theory of a two-dimensional bosonic superfluid on the lowest Landau level at zero temperature and identify a Berry term that governs the dynamics of coarse-grained superfluid degrees of freedom. For an infinite vortex crystal we compute how the Berry term affects the low-energy spectrum of soft collective Tkachenko oscillations and nondissipative Hall responses of the particle number current and stress tensor. This term gives rise to a quadratic in momentum term in the Hall conductivity, but does not generate a nondissipative Hall viscosity.},

  doi          = {10.1103/PhysRevLett.122.235301},

  journal      = {Physical Review Letters},

  number       = 23,

  volume       = 122,

  place        = {United States},

  year         = {Tue Jun 11 00:00:00 EDT 2019},

  month        = {Tue Jun 11 00:00:00 EDT 2019}

}

Copy to clipboard

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https://doi.org/10.1103/PhysRevLett.122.235301

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Similar Records

Title: Bosonic Superfluid on the Lowest Landau Level

Abstract

Citation Formats

Hall Viscosity and Electromagnetic Response journal, February 2012

Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p x + i p y paired superfluids journal, January 2009

Landau Levels and the Thomas-Fermi Structure of Rapidly Rotating Bose-Einstein Condensates journal, November 2004

Viscosity of Quantum Hall Fluids journal, July 1995

Ground state and Tkachenko modes of a rapidly rotating Bose-Einstein condensate in the lowest-Landau-level state journal, August 2005

Effective theory of two-dimensional chiral superfluids: Gauge duality and Newton-Cartan formulation journal, February 2015

Bose-Einstein Condensates with Large Number of Vortices journal, July 2001

Effective field theory of a vortex lattice in a bosonic superfluid journal, January 2018

Tkachenko waves journal, February 2014

Tkachenko Modes of Vortex Lattices in Rapidly Rotating Bose-Einstein Condensates journal, September 2003

Vortex lattices in Bose-Einstein condensates: From the Thomas-Fermi regime to the lowest-Landau-level regime journal, February 2006

Diamagnetismus der Metalle journal, September 1930

Quantum Hall physics in rotating Bose–Einstein condensates journal, February 2008

Nonuniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates journal, January 2007

Spacetime symmetries of the quantum Hall effect journal, February 2015

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates journal, August 2001

Rapidly rotating atomic gases journal, November 2008

Phase Transition in a Lattice Model of Superconductivity journal, November 1981

Ground state of a spin-½ charged particle in a two-dimensional magnetic field journal, June 1979

Hall viscosity, orbital spin, and geometry: Paired superfluids and quantum Hall systems journal, August 2011

Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity journal, December 2012

Mandelstam-'t Hooft duality in abelian lattice models journal, July 1978

Landau-level ground-state degeneracy and its relevance for a general quantization procedure journal, October 1993

Anomalous Hydrodynamics of Two-Dimensional Vortex Fluids journal, July 2014

Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter journal, June 2002

Rotating trapped Bose-Einstein condensates journal, May 2009

Effective theory of chiral two-dimensional superfluids journal, May 2014

Dissipationless phonon Hall viscosity journal, June 2012

Rotating trapped Bose-Einstein condensates journal, January 2008

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates text, January 2001

Bose-Einstein Condensates with Large Number of Vortices text, January 2001

Rotating trapped Bose-Einstein condensates text, January 2008

Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity text, January 2012

Tkachenko waves text, January 2013

Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid text, January 2013

Spacetime Symmetries of the Quantum Hall Effect text, January 2014

Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation text, January 2014

Bose-Einstein Condensates with Large Number of Vortices text, January 2001

Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter text, January 2002

Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates text, January 2006

Viscosity of Quantum Hall Fluids text, January 1995

Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure text, January 1993

Hall Viscosity and Electromagnetic Response
journal, February 2012

Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and $p_{x} + i p_{y}$ paired superfluids
journal, January 2009

Landau Levels and the Thomas-Fermi Structure of Rapidly Rotating Bose-Einstein Condensates
journal, November 2004

Viscosity of Quantum Hall Fluids
journal, July 1995

Ground state and Tkachenko modes of a rapidly rotating Bose-Einstein condensate in the lowest-Landau-level state
journal, August 2005

Effective theory of two-dimensional chiral superfluids: Gauge duality and Newton-Cartan formulation
journal, February 2015

Bose-Einstein Condensates with Large Number of Vortices
journal, July 2001

Effective field theory of a vortex lattice in a bosonic superfluid
journal, January 2018

Tkachenko waves
journal, February 2014

Tkachenko Modes of Vortex Lattices in Rapidly Rotating Bose-Einstein Condensates
journal, September 2003

Vortex lattices in Bose-Einstein condensates: From the Thomas-Fermi regime to the lowest-Landau-level regime
journal, February 2006

Diamagnetismus der Metalle
journal, September 1930

Quantum Hall physics in rotating Bose–Einstein condensates
journal, February 2008

Nonuniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
journal, January 2007

Spacetime symmetries of the quantum Hall effect
journal, February 2015

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
journal, August 2001

Rapidly rotating atomic gases
journal, November 2008

Phase Transition in a Lattice Model of Superconductivity
journal, November 1981

Ground state of a spin-½ charged particle in a two-dimensional magnetic field
journal, June 1979

Hall viscosity, orbital spin, and geometry: Paired superfluids and quantum Hall systems
journal, August 2011

Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
journal, December 2012

Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978

Landau-level ground-state degeneracy and its relevance for a general quantization procedure
journal, October 1993

Anomalous Hydrodynamics of Two-Dimensional Vortex Fluids
journal, July 2014

Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
journal, June 2002

Rotating trapped Bose-Einstein condensates
journal, May 2009

Effective theory of chiral two-dimensional superfluids
journal, May 2014

Dissipationless phonon Hall viscosity
journal, June 2012

Rotating trapped Bose-Einstein condensates
journal, January 2008

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
text, January 2001

Bose-Einstein Condensates with Large Number of Vortices
text, January 2001

Rotating trapped Bose-Einstein condensates
text, January 2008

Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
text, January 2012

Tkachenko waves
text, January 2013

Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
text, January 2013

Spacetime Symmetries of the Quantum Hall Effect
text, January 2014

Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
text, January 2014

Bose-Einstein Condensates with Large Number of Vortices
text, January 2001

Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
text, January 2002

Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
text, January 2006

Viscosity of Quantum Hall Fluids
text, January 1995

Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure
text, January 1993