Tuning superconductivity and charge density wave order by next-nearest-neighbor hopping integral in honeycomb Holstein model

Abstract

By using unbiased determinant quantum Monte Carlo simulations, we investigate the interplay between superconductivity and charge density wave order in the Holstein model on a honeycomb lattice with next-nearest-neighbor hopping \(t^{\prime}\). We find that a finite negative \(t^{\prime}\) enhances \(s\)-wave superconducting pairing susceptibility near the van Hove fillings in the weak electron-phonon coupling regime, while it suppresses superconductivity and promotes charge density wave order at intermediate electron-phonon coupling strengths. The effect of \(t^{\prime}\) on a charge density wave is filling-dependent: It suppresses the charge density wave at half filling but enhances it near the van Hove singularities. A spectral analysis reveals the opening of a gap at low temperatures, highlighting the competitive relationship between superconducting and charge density wave orders mediated by electron-phonon coupling and tuned by \(t^{\prime}\).

7 pages, 9 figures. Published version in Physical Review B

References in corpus (20)

• Electric Field Effect in Atomically Thin Carbon Films
• Classification of Charge Density Waves Based on Their Nature
• Electronic Nature of Charge Density Wave and Electron-Phonon Coupling in Kagome Superconductor KV${}_3$Sb${}_5$
• Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
• Using controlled disorder to probe the interplay between charge order and superconductivity in NbSe2
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Phonon dispersion and the competition between pairing and charge order
• Controllability of ferromagnetism in graphene
• Superconductivity, Charge-Density-Waves, and Bipolarons in the Holstein model
• Electron-Phonon Interactions in Flat Band Systems
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions (version 2.0 release)
• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Low-energy phonons in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and their possible interaction with electrons measured by inelastic neutron scattering
• Effect of electron-phonon coupling in the ARPES spectra of the tri-layer cuprate Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$
• SmoQyDEAC.jl: A differential evolution package for the analytic continuation of imaginary time correlation functions
• Supersolid Phase in the Diluted Holstein Model
• Half-filled stripe to N$\acute{e}$el antiferromagnetism transition in the $t^{\prime }$-Hubbard model on honeycomb lattice