Phonon dispersion and the competition between pairing and charge order

Abstract

The Holstein Model (HM) describes the interaction between fermions and a collection of local (dispersionless) phonon modes. In the dilute limit, the phonon degrees of freedom dress the fermions, giving rise to polaron and bipolaron formation. At higher densities, the phonons mediate collective superconducting (SC) and charge density wave (CDW) phases. Quantum Monte Carlo (QMC) simulations have considered both these limits, but have not yet focused on the physics of more general phonon spectra. Here we report QMC studies of the role of phonon dispersion on SC and CDW order in such models. We quantify the effect of finite phonon bandwidth and curvature on the critical temperature $T_{\mathrm{cdw}}$ for CDW order, and also uncover several novel features of diagonal long range order in the phase diagram, including a competition between charge patterns at momenta $\mathbf{q}=(\pi ,\pi )$ and $\mathbf{q}=(0,\pi )$ which lends insight into the relationship between Fermi surface nesting and the wavevector at which charge order occurs. We also demonstrate SC order at half-filling in situations where nonzero bandwidth sufficiently suppresses $T_{\mathrm{cdw}}$.

arXiv comment6 Figs + Supplemental Material

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Cited by in corpus (47)

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• Superconductivity and charge density wave order in the 2D Holstein model
• Symmetry Enforced Self-Learning Monte Carlo Method Applied to the Holstein Model
• Langevin Simulations of a Long Range Electron Phonon Model
• Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study
• Antiferromagnetism induced by electron-phonon-coupling
• Many-body quantum state diffusion for non-Markovian dynamics in strongly interacting systems
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
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• Fast and scalable quantum Monte Carlo simulations of electron-phonon models
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
• Magnetism and charge order in the honeycomb lattice
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Effect of Strain on Charge Density Wave Order in the Holstein Model
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
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• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• A functional renormalization group study of the two dimensional Su-Schrieffer-Heeger-Hubbard model
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• Machine learning for phase ordering dynamics of charge density waves
• The two-dimensional $t$-$t^{\prime }$ Holstein model
• Influence of phonon renormalization in Eliashberg theory for superconductivity in 2D and 3D systems
• Crossover between electron-electron and electron-phonon mediated pairing on the Kagome lattice
• Quantum Monte Carlo study of an anharmonic Holstein model
• Stable bipolarons in open quantum systems
• Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
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• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
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• Magnetic impurities in a charge-ordered background
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Quantum transport in an environment parametrized by dispersive bosons
• Commensurate to Incommensurate Transition of Three Dimensional Charge Density Waves
• Tuning superconductivity and charge density wave order by next-nearest-neighbor hopping integral in honeycomb Holstein model
• Charge density wave breakdown in a heterostructure with electron-phonon coupling