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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
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Sergej Moroz |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1803.10934v3 (pdf) |
| Date accepted: | 2018-10-03 |
| Date submitted: | 2018-09-18 02:00 |
| Submitted by: | Moroz, Sergej |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
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
Published as SciPost Phys. 5, 039 (2018)