Effective field theory of a vortex lattice in a bosonic superfluid

Journal Article · 26 October 2018 · SciPost Physics

DOI: https://doi.org/10.21468/SciPostPhys.5.4.039 · OSTI ID:1479160

Moroz, Sergej ^[1]; Hoyos, Carlos ^[2]; Benzoni, Claudio ^[1]; Son, Dam Thanh ^[3]

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1. Technical University of Munich
2. University of Oviedo
3. University of Chicago

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.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0009924; SC0009924
• OSTI ID: 1479160
• Journal Information: SciPost Physics, Journal Name: SciPost Physics Journal Issue: 4 Vol. 5
• Publisher: Stichting SciPostCopyright Statement
• Country of Publication: Country unknown/Code not available
• Language: English