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 (56)

• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Competing states in the t-J model: uniform d-wave state versus stripe state
• The Physics of Pair Density Waves
• Microscopic evidence for a chiral superconducting order parameter in the heavy fermion superconductor UTe2
• 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
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• 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
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Detection of a Pair Density Wave State in UTe${}_2$
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Exact Superconducting Instability in a Doped Mott Insulator
• Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders
• Smectic Pair Density Wave Order in EuRbFe4As4
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Charge-4e and charge-6e flux quantization and higher charge superconductivity in kagome superconductor ring devices
• Failure of Topological Invariants in Strongly Correlated Matter
• Doped Mott Insulators Break ${\mathbb{Z}}_2$ Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Pair density wave order from electron repulsion
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Pair Density Wave in the Doped $t$-$J$ Model with Ring Exchange on a Triangular Lattice
• Microscopic mechanism for fluctuating pair density wave
• Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Effective model for a supercurrent in a pair-density wave
• Electronic properties, correlated topology and Green's function zeros
• Exactly solvable model of Fermi arcs and pseudogap
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Thermodynamics of an Exactly Solvable Model for Superconductivity in a Doped Mott Insulator
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Topological $s$-wave superconductors driven by electron correlation
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• Exact solution for finite center-of-mass momentum Cooper pairing
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method
• Incoherent transport in a model for the strange metal phase: Memory-matrix formalism
• Enhanced pair-density-wave vertices in a bilayer Hubbard model at half-filling

Cited by in corpus (3)

• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional $d$-wave altermagnets
• Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model