The Physics of Pair-Density Waves: Cuprate Superconductors and beyond

Daniel F. Agterberg, J. C.Séamus Davis, Stephen D. Edkins, Eduardo Fradkin, Dale J. Van Harlingen, Steven A. Kivelson, Patrick A. Lee, Leo Radzihovsky, John M. Tranquada, Yuxuan Wang

Research output: Contribution to journalReview articlepeer-review


We review the physics of pair-density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge-density wave, and discuss related vestigial states that emerge as a consequence of partial melting of the PDW order. We review and critically discuss the mounting experimental evidence for such PDW order in the cuprate superconductors, the status of the theoretical microscopic description of such order, and the current debate on whether the PDW is a mother order or another competing order in the cuprates. In addition, we give an overview of the weak coupling version of PDW order, Fulde-Ferrell-Larkin-Ovchinnikov states, in the context of cold atom systems, unconventional superconductors, and noncentrosymmetric and Weyl materials.

Original languageEnglish (US)
Pages (from-to)231-270
Number of pages40
JournalAnnual Review of Condensed Matter Physics
StatePublished - Mar 10 2020


  • Finite-momentum condensates
  • Induced orders
  • Intertwined orders
  • Vortex states

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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