Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions

Abstract

We consider defect mediated melting of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) and pair density wave (PDW) phases in two dimensions. Examining mean-field ground states in which the spatial oscillations of the FFLO/PDW superfluid order parameter exhibit hexagonal lattice symmetry, we find that thermal melting leads to a variety of novel phases. We find that a spatially homogeneous charge six superfluid can arise from melting a hexagonal vortex-anitvortex lattice FFLO/PDW phase. The charge six superfluid has an order parameter corresponding to a bound state of six fermions. We further find that a hexagonal vortex-free FFLO/PDW phase can melt to yield a conventional (charge two) homogeneous superfluid. A key role is played by topological defects that combine fractional vortices of the superfluid order and fractional dislocations of the lattice order.

8 pages, 3 figures

References in corpus (12)

• Spin-Imbalance in a One-Dimensional Fermi Gas
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Dislocations and vortices in pair density wave superconductors
• Quantum liquid crystals in imbalanced Fermi gas: fluctuations and fractional vortices in Larkin-Ovchinnikov states
• Atomic matter of non-zero momentum Bose-Einstein condensation and orbital current order
• Order parameter and vortices in the superconducting Q-phase of CeCoIn5
• Phase Transitions of S=1 Spinor Condensates in an Optical Lattice
• Phase transitions in superconductor liquid crystals
• U(1) $\times$ U(1) / Z${}_2$ Kosterlitz-Thouless transition of the Larkin-Ovchinnikov phase in an anisotropic two-dimensional system

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