Interplay between Pair Density Wave and a Nested Fermi Surface

Abstract

We show that spontaneous time-reversal-symmetry (TRS) breaking can naturally arise from the interplay between pair density wave (PDW) ordering at multiple momenta and nesting of Fermi surfaces (FS). Concretely, we consider pair-density-wave superconductivity on a hexagonal lattice with nested FS at $3/4$ electron filling, which is related to a recently discovered superconductor CsV${}_3$Sb${}_5$. Because of nesting of the FS, each momentum $\bk$ on the FS has at least two counterparts $-\bk\pm\mathbf{Q}_α$ ($\alpha =1,2,3$) on the FS to form finite momentum ($\pm {\mathbf{Q}}_{\alpha }$) Cooper pairs, resulting in a TRS and inversion broken PDW state with stable Bogoliubov Fermi pockets. Various spectra, including (local) density of states, electron spectral function and the effect of quasi-particle interference, have been investigated. The partial melting of the PDW will give rise to $4\times 4$ and $\frac{4}{\sqrt{3}}\times \frac{4}{\sqrt{3}}$ CDW orders, in addition to the $2\times 2$ CDW. Possible implications to real materials such as CsV${}_3$Sb${}_5$ and future experiments have been further discussed.

4.5 page main text + 9 pages appendices

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• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Chiral pair density waves with residual Fermi arcs in RbV3Sb5
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Theory of charge-6e condensed phase in Kagome lattice superconductors
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Two elementary band representation model, Fermi surface nesting, and surface topological superconductivity in $A$V${}_3$Sb${}_5$ ($A=\text{K, Rb, Cs}$)
• Frustrated superconductivity and sextetting order
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Chiral pair density wave as a precursor of the pseudogap in kagomé superconductors
• Thermomodulated intrinsic Josephson effect in Kagome CsV3Sb5
• Imaging half-unit-cell Cooper-pair density waves in monolayer 1T${}^{\prime }$-MoTe${}_2$
• Superconducting gap modulations: are they from pair density waves or pair-breaking scattering?
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• Switchable chiral 2x2 pair density wave in pure CsV3Sb5
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• 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
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Eight-fold classification of superconducting orders
• Spin-triplet pair density wave superconductors
• Topological pair density waves in kagome superconductors