Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model

Abstract

We provide here a study of some competing ordering tendencies exhibited by the exactly solvable 2D Hatsugai-Kohmoto (HK) model on a square lattice. To this end, we investigate the interplay between superconductivity, charge-density wave (CDW) and pair-density wave (PDW) orders as a function of interaction, doping parameter, magnetic field, and uniaxial strain. As a result, we confirm the intertwined nature of CDW and PDW fluctuating orders for intermediate-to-strong couplings. We also verify that, while an applied magnetic field favors the formation of a CDW and allows the subsequent emergence of a PDW as a secondary order, strain effects favor unidirectional PDW as a primary order over the subdominant appearance of a stripe-like CDW. These results underscore the value of the HK model as an interesting platform in order to investigate (via an exactly solvable framework) the emergence of charge order and unconventional superconductivity in fermionic systems with strong interactions. Finally, we briefly discuss an orbital generalization of the HK model, which has been recently argued to be relevant to describe the properties of realistic strongly correlated systems.

arXiv comment11 pages, 5 figures

References in corpus (29)

• The pseudogap in high-temperature superconductors: an experimental survey
• Theory of Intertwined Orders in High Temperature Superconductors
• The Hubbard Model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• The Physics of Pair Density Waves
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Exact Superconducting Instability in a Doped Mott Insulator
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Field-theoretical renormalization group for a flat two-dimensional Fermi surface
• Charge orders, magnetism and pairings in the cuprate superconductors
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Effect of Strain on Charge Density Wave Order in the Holstein Model
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Breakdown of the Fermi-liquid regime in the 2D Hubbard model from a two-loop field-theoretical renormalization group approach
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Coexistence of ${\Theta }_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Orbital selectivity versus Pomeranchuk instability in the iron-chalcogenide superconductors: A two-loop renormalization group study
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model