Pair density wave solution for a self-consistent model

Abstract: In the self-consistent approximation for the two-dimensional mean-field model we found an analytic solution for the ground state with a coexisting d-wave symmetric bond ordered pair density wave (PDW) and spin (SDW) or charge (CDW) density waves, as observed in some high-temperature superconductors. In particular, the solution gives the same periodicity for CDW and PDW, and a pseudogap in the Fermi-excitation spectrum.