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Effective field theory of a vortex lattice in a bosonic superfluid

by Sergej Moroz, Carlos Hoyos, Claudio Benzoni, Dam Thanh Son

Submission summary

As Contributors: Sergej Moroz
Arxiv Link: https://arxiv.org/abs/1803.10934v3
Date accepted: 2018-10-03
Date submitted: 2018-09-18
Submitted by: Moroz, Sergej
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

Using boson-vortex duality, we formulate a low-energy effective theory of a two-dimensional vortex lattice in a bosonic Galilean-invariant compressible superfluid. The excitation spectrum contains a gapped Kohn mode and an elliptically polarized Tkachenko mode that has quadratic dispersion relation at low momenta. External rotation breaks parity and time-reversal symmetries and gives rise to Hall responses. We extract the particle number current and stress tensor linear responses and investigate the relations between them that follow from Galilean symmetry. We argue that elementary particles and vortices do not couple to the spin connection which suggests that the Hall viscosity at zero frequency and momentum vanishes in a vortex lattice.

Ontology / Topics

See full Ontology or Topics database.

Kohn modes Superfluidity Tkachenko modes Vortex lattices

Published as SciPost Phys. 5, 039 (2018)



Author comments upon resubmission

Dear Editor,

Thank you for considering our paper for publication in SciPost.

We are grateful to both Referees for carefully reading our paper and providing valuable feedback. In two replies we provided point-by-point answers to the comments of the Referees and the list of changes implemented in the present resubmission.

with best regards,

Sergej Moroz, Carlos Hoyos, Claudio Benzoni and Dam Thanh Son

Reports on this Submission

Anonymous Report 2 on 2018-9-25 Invited Report

Report

The authors have addressed carefully all the points raised in
my previous report and modified the manuscript accordingly. I support the publication in the current form.

  • validity: high
  • significance: good
  • originality: high
  • clarity: good
  • formatting: excellent
  • grammar: excellent

Anonymous Report 1 on 2018-9-24 Invited Report

Report

The authors have responded to all of the points raised in my first report. In view of the strengths listed there, and the subsequent revisions, I am happy to recommend the paper for publication in its current form.

  • validity: high
  • significance: high
  • originality: high
  • clarity: good
  • formatting: excellent
  • grammar: excellent

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