Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates

Abstract

We study the effect of long-range hoppings on Tc for the two-dimensional (2D) Hubbard model with and without Holstein phonons using parameters evaluated from band-structure calculations for cuprates. Employing the dynamical cluster approximation (DCA) with a quantum Monte Carlo (QMC) cluster solver for a 4-site cluster, we observe that without phonons, the long-range hoppings, t' and t'', generally suppress Tc. We argue that this trend remains valid for larger clusters. In the presence of the Holstein phonons, a finite t' enhances Tc in the under-doped region for the hole-doped system, consistent with local-density approximation (LDA) calculations and experiment. This is interpreted through the suppression of antiferromagnetic (AF) correlations and the interplay between polaronic effects and the antiferromagnetism.

5 pages, 4 figures

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• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Fidelity and superconductivity in two-dimensional t-J models
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• A Fidelity Study of the Superconducting Phase Diagram in the 2D Single-band Hubbard Model
• Constrained-Path Auxiliary-Field Quantum Monte Carlo for Coupled Electrons and Phonons
• Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
• The Holstein-Hubbard Model at Half-filling : A Static Auxiliary Field Study
• Competing phases and orbital-selective behaviors in the two-orbital Hubbard-Holstein model
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems
• Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model
• Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of $s$-wave pairing between charge and magnetic orders