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.
Cited by 2
Takumi Yoshino et al., Collective modes of vortex lattices in two-component Boseâ€“Einstein condensates under synthetic gauge fields
New J. Phys. 21, 015001 (2019) [Crossref]
S. M. Kravec et al., Nonrelativistic conformal field theories in the large charge sector
J. High Energ. Phys. 2019, 8 (2019) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Sergej Moroz,
- 2 Carlos Hoyos,
- 1 Claudio Benzoni,
- 3 Dam Thanh Son
- 1 Technische Universität München / Technical University of Munich [TUM]
- 2 Universidad de Oviedo / University of Oviedo
- 3 University of Chicago [UC]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Gobierno del Principado de Asturias / Government of the Principality of Asturias
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- Secretaría de Estado de Investigacion, Desarrollo e Innovacion (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- Simons Foundation
- U.S. Department of Defense (DOD) (through Organization: United States Department of Defense [DOD])
- United States Department of Energy [DOE]