Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave

Abstract

We present a way to quantum-disorder a pair density wave, and propose it to be a candidate of the effective low-energy description of the pseudogap metal which may reveal itself in a sufficiently high magnetic field that suppresses the d-wave pairing. The ground state we construct is a small-pocket Fermi liquid with a bosonic Mott insulator in the density-wave-enlarged unit cell. At low energy, the charge density is mainly carried by charge 2e bosons, which develop a small insulating gap. As an intermediate step, we discuss the quantum disordering of a fully gapped superconductor and its excitation spectrum. In order to illustrate the concepts we introduce, we introduce a simplified 1D model which we solve numerically. We discuss a number of experimental consequences. The interplay between the electron and the small-gap boson results in a step function background in the electron spectral function which may be consistent with existing ARPES data. Optical excitation across the boson gap can explain the onset and the magnitude of the mid-infra-red absorption reported long ago.

arXiv comment26 pages, 17 figures

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Cited by in corpus (27)

• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Atomic-scale Electronic Structure of the Cuprate Pair Density Wave State Coexisting with Superconductivity
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Near-infrared light-induced superconducting-like state in underdoped YBa${}_2$Cu${}_3$O${}_y$ studied by $c$-axis terahertz third-harmonic generation
• Superconducting fluctuations in overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Exactly solvable model of Fermi arcs and pseudogap
• Scattering Interference Signature of a Pair Density Wave State in the Cuprate Pseudogap Phase
• Probing the Quantum Noise of the Spinon Fermi Surface with NV Centers
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• Odd-frequency pair density wave correlations in underdoped cuprates
• Proposal to detect emergent gauge field and its Meissner effect in spin liquids using NV Centers
• Superconductor--Insulator Transition in a non-Fermi Liquid
• Photo-induced superconducting-like response in strongly correlated systems
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