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Interplay between Pair Density Wave and a Nested Fermi Surface.

Jin-Tao Jin1, Kun Jiang2,3, Hong Yao4,5

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|October 28, 2022
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Spontaneous time-reversal symmetry breaking emerges from pair density wave ordering and Fermi surface nesting. This explains phenomena in materials like CsV_{3}Sb_{5}, revealing new charge density wave orders.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Superconductivity

Background:

  • Time-reversal symmetry (TRS) breaking is a key phenomenon in exotic quantum materials.
  • Pair density wave (PDW) ordering and Fermi surface (FS) nesting are complex electronic states.
  • The superconductor CsV_{3}Sb_{5} exhibits intriguing properties potentially linked to these states.

Purpose of the Study:

  • To investigate the mechanism of spontaneous time-reversal symmetry (TRS) breaking.
  • To explore the interplay between multiple momentum pair density wave (PDW) ordering and Fermi surface (FS) nesting.
  • To understand the emergence of charge density wave (CDW) orders in relation to PDW states.

Main Methods:

  • Theoretical modeling of PDW superconductivity on a hexagonal lattice.
  • Analysis of electronic structure with nested Fermi surfaces at 3/4 electron filling.
  • Investigation of various spectra: density of states, electron spectral function, and quasiparticle interference.

Main Results:

  • Demonstrated that PDW ordering and FS nesting naturally lead to spontaneous TRS breaking.
  • Identified a TRS and inversion broken PDW state with stable Bogoliubov Fermi pockets.
  • Showed that partial melting of the PDW state results in 2x2, 4x4, and (4/sqrt[3])x(4/sqrt[3]) CDW orders.

Conclusions:

  • The interplay of multi-momentum PDW and nested FS provides a viable mechanism for TRS breaking.
  • The theoretical framework explains the coexistence of PDW and CDW orders.
  • Findings offer insights into the physics of CsV_{3}Sb_{5} and guide future experimental investigations.