Interplay between Pair Density Wave and a Nested Fermi Surface

Kavli Affiliate: Yi Zhou

| First 5 Authors: Jin-Tao Jin, Kun Jiang, Hong Yao, Yi Zhou,

| Summary:

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 $-bkpmmathbf{Q}_{alpha}$
($alpha=1,2,3$) on the FS to form finite momentum ($pmmathbf{Q}_{alpha}$)
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
$4times{}4$ and $frac{4}{sqrt{3}}timesfrac{4}{sqrt{3}}$ CDW orders, in
addition to the $2times2$ CDW. Possible implications to real materials such as
CsV$_3$Sb$_5$ and future experiments have been further discussed.

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