Effective model for a supercurrent in a pair-density wave

Abstract

We extend the standard effective model of d-wave superconductivity of a single band tight-binding Hamiltonian with nearest-neighbor attraction to include finite range periodically modulated pair-hopping. The pair-hopping is characterized by a fixed wave number $\mathcal{Q}=\mathcal{Q}\hat{x}$ breaking lattice rotational symmetry. Within self-consistent BCS theory we study the general variational state consisting of two incommensurate singlet pair amplitudes ${\Delta }_{{\mathbf{Q}}_1}$ and ${\Delta }_{{\mathbf{Q}}_2}$ and find two types of near degenerate ground states; of the Larkin-Ovchnnikov (LO) or pair-density wave (PDW) type with ${\Delta }_{{\mathbf{Q}}_1}={\Delta }_{{\mathbf{Q}}_2}$ and ${\mathbf{Q}}_1=-{\mathbf{Q}}_2\approx \mathcal{Q}$ or of the Fulde-Ferrell (FF) type with ${\Delta }_{{\mathbf{Q}}_2}=0$ and ${\mathbf{Q}}_1\approx \pm \mathcal{Q}$. An anomalous term in the static current operator arising from the pair-hopping ensures that Bloch's theorem on zero current in the ground state is enforced also for the FF ground state, despite broken time-reversal symmetry without spin-population imbalance. We also consider a supercurrent by exploring the space of pair-momenta ${\mathbf{Q}}_1$ and ${\mathbf{Q}}_2$ and identify characteristics of a state with multiple finite momentum order-parameters. This includes the possibility of phase-separation of current densities and spontaneous mirror-symmetry breaking manifested in the directional dependence of the depairing current.

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Cited by in corpus (21)

• The Physics of Pair Density Waves
• Pair density wave order from electron repulsion
• Microscopic mechanism for fluctuating pair density wave
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Interplay of finite-energy and finite-momentum superconducting pairing
• Odd-frequency pair density wave correlations in underdoped cuprates
• Exact solution for finite center-of-mass momentum Cooper pairing
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Quasiparticle interference as a direct experimental probe of bulk odd-frequency superconducting pairing
• Intertwined Orders and the Physics of High Temperature Superconductors
• Fulde-Ferrell-Larkin-Ovchinnikov state in strongly correlated d-wave superconductors
• Pair density wave characterized by a hidden string order parameter
• Electronic structure of topological defects in the pair density wave superconductor
• Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional $d$-wave altermagnets
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Nematic single-component superconductivity and loop-current order from pair-density wave instability
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Spin-triplet pair density wave superconductors
• Gap fluctuations, Cooper pairs with finite center-of-mass momentum, and suppression of superconductivity in inhomogeneous systems with dopant superpuddles agglomerates
• Anomalous Superfluid Density in Pair-Density-Wave Superconductors