Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice

Abstract

Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here we propose to study PDW superconductivity in a minimal model of spinless fermions on the honeycomb lattice with nearest-neighbor (NN) and next-nearest-neighbor (NNN) interaction $V_1$ and $V_2$, respectively. By performing a state-of-the-art density-matrix renormalization group (DMRG) study of this $t$-$V_1$-$V_2$ model at finite doping on six-leg and eight-leg honeycomb cylinders, we showed that the ground state exhibits PDW ordering (namely quasi-long-range order with a divergent PDW susceptibility). Remarkably this PDW state persists on the wider cylinder with 2D-like Fermi surfaces (FS). To the best of our knowledge, this is probably the first controlled numerical evidence of PDW in systems with 2D-like FS.

4 pages, 3 figures + supplemental material, published version in Physical Review Letters, Editors' Suggestion in PRL

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Cited by in corpus (7)

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• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Competing pair density wave orders in the square lattice $t$-$J$ model
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Grassmann tensor networks
• Spin-triplet pair density wave superconductors