Quasi One Dimensional Pair Density Wave Superconducting State

Abstract

We provide a quasi-one-dimensional model which can support a pair-density-wave (PDW) state, in which the superconducting (SC) order parameter modulates periodically in space, with gapless Bogoliubov quasiparticle excitations. The model consists of an array of strongly-interacting one-dimensional systems, where the one-dimensional systems are coupled to each other by local interactions and tunneling of the electrons and Cooper pairs between them. Within the interchain mean-field theory, we find several SC states from the model, including a conventional uniform SC state, PDW SC state, and a coexisting phase of the uniform SC and PDW states. In this quasi-1D regime we can treat the strong correlation physics essentially exactly using bosonization methods and the crossover to the 2D system by means of interchain mean field theory. The resulting critical temperatures of the SC phases generically exhibit a power-law scaling with the coupling constants of the array, instead of the essential singularity found in weak-coupling BCS-type theories. Electronic excitations with an open Fermi surface, which emerge from the electronic Luttinger liquid systems below their crossover temperature to the Fermi liquid, are then coupled to the SC order parameters via the proximity effect. From the Fermi surface thus coupled to the SC order parameters, we calculate the quasiparticle spectrum in detail. We show that the quasiparticle spectrum can be fully gapped or nodal in the uniform SC phase and also in the coexisting phase of the uniform SC and PDW parameters. In the pure PDW state, the excitation spectrum has a reconstructed Fermi surface in the form of Fermi pockets of Bogoliubov quasiparticles.

Mildly edited new version. 15 pages, six figures, 54 references (2 are new)

References in corpus (45)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Bosonization and Strongly Correlated Systems
• Theory of Intertwined Orders in High Temperature Superconductors
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Exact expectation values of local fields in quantum sine-Gordon model
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• 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 Theory of the Smectic Metal State in Stripe Phases
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Theory of the striped superconductor
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Dimensional Crossover in Quasi One-Dimensional and High T_c Superconductors
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Weakly coupled one-dimensional Mott insulators
• Mechanism of High Temperature Superconductivity in a striped Hubbard Model
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Nature of Stripes in the Generalized t-J Model Applied to The Cuprate Superconductors
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Spectral signatures of modulated d-wave superconducting phases
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field
• Stability of RVB hole stripes in high-temperature superconductors
• Superconductivity and Charge Density Wave in a Quasi-One-Dimensional Spin Gap System
• Pairing Theory of Striped Superconductivity
• Nodal quasi-particles and coexisting orders in striped superconductors
• Checkerboard order in vortex cores from pair-density-wave superconductivity
• Staggered liquid phases of the 1D Kondo-Heisenberg lattice model
• One-dimensional electron gas interacting with a Heisenberg spin-1/2 chain
• Doped Antiferromagnets in High Dimension
• Quantum Oscillations in a $\pi$-Striped Superconductor
• Complementary Pair Density Wave and d-wave Checkerboard Order in High Temperature Superconductors
• Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
• Phase transitions in superconductor liquid crystals
• Topological Pair-Density-Wave Superconducting States
• The Mixed State of a $\pi$-Striped Superconductor

Cited by in corpus (21)

• The Physics of Pair Density Waves
• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Microscopic mechanism for fluctuating pair density wave
• Holographic Fermions in Striped Phases
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Higgs Modes in the Pair Density Wave Superconducting State
• Exact solution for finite center-of-mass momentum Cooper pairing
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Intertwined Orders and the Physics of High Temperature Superconductors
• Optically active Higgs and Leggett modes in multiband pair-density-wave superconductors with Lifshitz invariant
• Electronic structure of topological defects in the pair density wave superconductor
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Gapless Triplet Superconductivity in Magnetically Polarized Media
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Tunable Competing Electronic Orders in Double Quantum Spin Hall Superlattices
• Spin-triplet pair density wave superconductors