Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D

Abstract

Charge-$4e$ superconductivity as a novel phase of matter remains elusive so far. Here we show that charge-$4e$ phase can arise as a vestigial order above the nematic superconducting transition temperature in time-reversal-invariant nematic superconductors. On the one hand, the nontrivial topological defect -- nematic vortex -- is energetically favored over the superconducting phase vortex when the nematic stiffness is less than the superfluid stiffness; consequently the charge-$4e$ phase emerges by proliferation of nematic vortices upon increasing temperatures. On the other hand, the Ginzburg-Landau theory of the nematic superconductors has two distinct decoupling channels to either charge-$4e$ orders or nematic orders; by analyzing the competition between the effective mass of the charge-$4e$ order and the cubic potential of the nematic order, we find a sizable regime where the charge-$4e$ order is favored. These two analysis consistently show that nematic superconductors can provide a promising route to realize charge-$4e$ phases, which may apply to candidate nematic superconductors such as PbTaSe${}_2$ and twisted bilayer graphene.

arXiv comment4.5 pages + supplemental material, 3 figures

References in corpus (42)

• Magic Angle Spectroscopy
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Topological Superconductivity in Twisted Multilayer Graphene
• The Physics of Pair Density Waves
• Twisted Bilayer Graphene: A Phonon Driven Superconductor
• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Stripe order in superconducting La(2-x)Ba(x)CuO(4) for 0.095 <= x <= 0.155
• Stripe order, depinning, and fluctuations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ and La${}_{1.875}$Ba${}_{0.075}$Sr${}_{0.050}$CuO${}_4$
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Dislocations and vortices in pair density wave superconductors
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Competing orders in one dimensional spin 3/2 fermionic systems
• Quantum liquid crystals in imbalanced Fermi gas: fluctuations and fractional vortices in Larkin-Ovchinnikov states
• Theory of the striped superconductor
• Rotational Symmetry Breaking in a Trigonal superconductor Nb-doped Bi2Se3
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Nematic superconductivity in twisted bilayer graphene
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Novel phases in twisted bilayer graphene at magic angles as a result of van Hove singularities and interactions
• Weyl semimetals with short-range interactions
• Vestigial nematic order and superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$
• Direct visualization of the nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Emergence of supersymmetric quantum electrodynamics
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• $Z_3$-vestigial nematic order due to superconducting fluctuations in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ and Cu${}_x$Bi${}_2$Se${}_3$
• Strong Coupling Limit of the Holstein-Hubbard Model
• Spin-fluctuation-induced pairing in twisted bilayer graphene
• Charge-4e superconductors: a Majorana quantum Monte Carlo study
• Uniaxial-strain Control of Nematic Superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Skyrmions with quadratic band touching fermions: A way to achieve charge 4e superconductivity
• Evidence for nematic superconductivity of topological surface states in PbTaSe2
• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Evidence for singular-phonon-induced nematic superconductivity in a topological superconductor candidate Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Mass hierarchy in collective modes of pair-density-wave superconductors
• Phase diagram of vortices in the polar phase of spin-1 Bose-Einstein condensates

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• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
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• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• Andreev reflection in normal metal/charge-4e superconductor junctions
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• Local pairing versus bulk superconductivity intertwined by the charge density wave order in Cs(V${}_{1-x}$Ta${}_x$)${}_3$Sb${}_5$
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Composite quadrupole order in ferroic and multiferroic materials
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method
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