Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator

Abstract

We investigate the Hatsugai-Kohmoto (HK) model on a square lattice, which describes both a Mott insulator at half-filling and a non-Fermi liquid phase on doping. Through the solution of this exactly solvable model with the inclusion of pairing interactions, we demonstrate the emergence of strong pair-density-wave (PDW) fluctuations associated with center-of-mass momentum $\mathbf{Q}=(\pi ,\pi )$ at finite temperatures for low dopings up to a critical doping and intermediate $U$ interaction. Furthermore, we also confirm that a superconducting instability appears in the model within a wide regime of interaction $U$ and doping parameter $x$. In view of the fact that it has been recently put forward that the metal-insulator transition of the HK model belongs to the same universality class as the Mott transition of the paradigmatic Hubbard model [Huang \emph{et al.}, Nat. Phys. \textbf{18}, 511 (2022)], our work may thus shed light on an interesting scenario regarding the emergence of a fluctuating PDW phase on doping a Mott insulator, which has been argued to be relevant for understanding the physics of the cuprate superconductors in the underdoped regime.

10 pages, 4 figures

References in corpus (16)

• A Phenomenological Theory of The Pseudogap State
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Exactly solvable model of Fermi arcs and pseudogap
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Topological $s$-wave superconductors driven by electron correlation
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator