Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter

Mar 29, 2021
7 pages
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20212022202320248201
Abstract: (arXiv)
We discuss bosonic models with a moat spectrum, where in momentum space the minimum of the dispersion relation is on a sphere of nonzero radius. For spinless bosons with O(N)O(N) symmetry, we emphasize the essential difference between N=2N=2 and N>2N > 2. When N=2N=2, there are two phase transitions: at zero temperature, a transition to a state with Bose condensation, and at nonzero temperature, a transition to a spatially inhomogeneous state. When N>2N > 2, previous analysis suggests that a mass gap is generated dynamically at any temperature. In condensed matter, a moat spectrum is important for spin-orbit-coupled bosons. For cold nuclear or quarkyonic matter, we suggest that the transport properties, such as neutrino emission, are dominated by the phonons related to a moat spectrum; also, that at least in the quarkyonic phase the nucleons may be a non-Fermi liquid.
Note:
  • Superceded by the results in arXiv:2112.10238, with M. Lajer and R. Konik
  • boson: interaction
  • boson: spinless
  • energy: low
  • mass: gap
  • condensed matter
  • dispersion relation
  • critical phenomena
  • transport theory
  • nuclear matter
  • condensation