Phase transitions in superconductor liquid crystals

Abstract

We study properties of phase transitions of 2D superconductor liquid crystal phases, and analyze the competition between the recently proposed Pair Density Wave (PDW) and nematic $4e$ superconductor ($4e$SC). Nematic fluctuations enhance the $4e$SC and suppress the PDW phase. In the absence of lattice effects, the PDW state exists only at T=0 and the low temperature phase is a nematic $4e$SC with short ranged PDW order. A geometric description of the $4e$ SC is presented.

4 pages, 3 figures. Edited file with a new discussion on quasiparticle behavior in the charge 4e nematic superconductor. To appear in Physical Review B Rapid Communications

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Cited by in corpus (22)

• Theory of Intertwined Orders in High Temperature Superconductors
• The Physics of Pair Density Waves
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Theory of Nematic Fractional Quantum Hall State
• Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
• Neutron scattering study of spin ordering and stripe pinning in superconducting La${}_{1.93}$Sr${}_{0.07}$CuO${}_4$
• Disclination classes, fractional excitations, and the melting of quantum liquid crystals
• Microscopic mechanism for fluctuating pair density wave
• Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
• Effective model for a supercurrent in a pair-density wave
• Quasi One Dimensional Pair Density Wave Superconducting State
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Quantum and thermal melting of stripe forming systems with competing long ranged interactions
• Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
• Exact solution for finite center-of-mass momentum Cooper pairing
• Vortex and disclination structures in a nematic-superconductor state
• Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• Andreev reflection in normal metal/charge-4e superconductor junctions
• Superconductivity near Pomeranchuk instabilities in the spin channel
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• Anomalous Superfluid Density in Pair-Density-Wave Superconductors