A DMRG study: Pair-density wave in spin-valley locked systems

Abstract

Interest in modulated paired states, long sought since the first proposals by Fulde and Ferrell and by Larkin and Ovchinnikov, has grown recently in the context of strongly coupled superconductors under the name of pair density wave. However, there is little theoretical understanding of how such a state might arise out of strong coupling physics in simple models. Although density matrix renormalization group has been a powerful tool for exploring strong coupling modulation phenomena of spin and charge stripe in the Hubbard model and the t-J model, there has been no numerical evidence of PDW within these models using DMRG. Here we note that a system with inversion breaking, C3v point group symmetry may host a PDW-like state. Motivated by the fact that spin-valley locked band structure of hole-doped group VI transition metal dichalcogenides materializes such a setting, we use DMRG to study the superconducting tendencies in spin-valley locked systems with strong short-ranged repulsion. Remarkably we find robust evidence for a PDW and the first of such evidence within DMRG studies of a simple fermionic model.

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Cited by in corpus (23)

• Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Pair density wave and reentrant superconducting tendencies originating from valley polarization
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Odd-frequency pair density wave correlations in underdoped cuprates
• Exact solution for finite center-of-mass momentum Cooper pairing
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Strange metal from incoherent bosons
• 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
• Anomalous Superfluid Density in Pair-Density-Wave Superconductors
• Emblems of pair density waves: dual identity of topological defects and their transport signatures
• Spin-triplet pair density wave superconductors