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Title: Intertwined superfluidity and density wave order in a p -orbital Bose condensate

Abstract

We study a continuum model of the weakly interacting Bose gas in the presence of an external field with minima forming a triangular lattice. The second lowest band of the single-particle spectrum ( p band) has three minima at nonzero momenta. We consider a metastable Bose condensate at these momenta and find that, in the presence of interactions that vary slowly over the lattice spacing, the order parameter space is isomorphic to S 5. We show that the enlarged symmetry leads to the loss of topologically stable vortices, as well as two extra gapless modes with quadratic dispersion. Here, the former feature implies that this non-Abelian condensate is a “failed superfluid” that does not undergo a Berezinskii-Kosterlitz-Thouless (BKT) transition. Order-by-disorder splitting appears suppressed, implying that signatures of the S 5 manifold ought to be observable at low temperatures.

Authors:
 [1];  [2];  [1];  [3]
  1. Imperial College, London (United Kingdom)
  2. Univ. of London, Surrey (United Kingdom)
  3. Rutgers Univ., Piscataway, NJ (United States); Univ. of London, Surrey (United Kingdom)
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1610436
Alternate Identifier(s):
OSTI ID: 1489728
Grant/Contract Number:  
FG02-99ER45790
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 1; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
materials science; physics; Bose gases; cold and ultracold molecules; dipolar gases; vortices in superfluids

Citation Formats

Lieu, Simon, Ho, Andrew F., Lee, Derek K. K., and Coleman, Piers. Intertwined superfluidity and density wave order in a p-orbital Bose condensate. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.014504.
Lieu, Simon, Ho, Andrew F., Lee, Derek K. K., & Coleman, Piers. Intertwined superfluidity and density wave order in a p-orbital Bose condensate. United States. doi:10.1103/physrevb.99.014504.
Lieu, Simon, Ho, Andrew F., Lee, Derek K. K., and Coleman, Piers. Mon . "Intertwined superfluidity and density wave order in a p-orbital Bose condensate". United States. doi:10.1103/physrevb.99.014504. https://www.osti.gov/servlets/purl/1610436.
@article{osti_1610436,
title = {Intertwined superfluidity and density wave order in a p-orbital Bose condensate},
author = {Lieu, Simon and Ho, Andrew F. and Lee, Derek K. K. and Coleman, Piers},
abstractNote = {We study a continuum model of the weakly interacting Bose gas in the presence of an external field with minima forming a triangular lattice. The second lowest band of the single-particle spectrum ( p band) has three minima at nonzero momenta. We consider a metastable Bose condensate at these momenta and find that, in the presence of interactions that vary slowly over the lattice spacing, the order parameter space is isomorphic to S5. We show that the enlarged symmetry leads to the loss of topologically stable vortices, as well as two extra gapless modes with quadratic dispersion. Here, the former feature implies that this non-Abelian condensate is a “failed superfluid” that does not undergo a Berezinskii-Kosterlitz-Thouless (BKT) transition. Order-by-disorder splitting appears suppressed, implying that signatures of the S5 manifold ought to be observable at low temperatures.},
doi = {10.1103/physrevb.99.014504},
journal = {Physical Review B},
issn = {2469-9950},
number = 1,
volume = 99,
place = {United States},
year = {2019},
month = {1}
}

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