Effective field theory of a vortex lattice in a bosonic superfluid
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 26, 2018
- Source ID
- 10.21468/scipostphys.5.4.039
Entities
People
- Carlos Hoyos
- Claudio Benzoni
- Dam Thanh Son
- Sergej Moroz
Organizations
- German Research Foundation
- Government of the Principality of Asturias
- Ministry of Economy, Industry and Competitiveness
- Simons Foundation
- Technical University of Munich
- United States Department of Defense
- United States Department of Energy
- University of Chicago
- University of Oviedo