Intertwined Orders and the Physics of High Temperature Superconductors

Abstract

Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms of charge-ordered phases, including charge-density-waves and/or spin-density waves, and electronic nematic states. In most cases these phases have critical temperatures comparable in magnitude to that of the superconducting state, and appear in a "pseudo-gap" regime. In these systems the high temperature state is not a good metal with well-defined quasiparticles but a "strange metal". These states typically arise from doping a strongly correlated Mott insulator. With my collaborators we have identified these behaviors as a problem with "Intertwined Orders". A Pair-density wave is a type of superconducting state which embodies the physics of intertwined orders. Here I discus the phenomenology of intertwined orders and the quantum materials that are known to display these behaviors.

Expanded text of my talk at the conference on Recent Progress in Many Body Theories 22 (Tsukuba, Japan, September 23-27, 2024), published in the proceedings of the conference; 30 pages, 16 figures, 161 references (edited version)

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Cited by in corpus (6)

• Fractionalized Fermi liquids and the cuprate phase diagram
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Yamaji effect in models of underdoped cuprates
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Evidence of intertwined pair density and charge density wave orders in UTe2
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation