Properties of the non-linear Holstein polaron at finite doping and temperature

Abstract

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We find that a small positive non-linear interaction reduces the effective coupling between the electrons and the lattice, suppresses charge-density wave (CDW) correlations, and hardens the effective phonon frequency. Conversely, a small negative non-linear interaction can enhance the e-ph coupling resulting in heavier quasiparticles, an increased tendency towards a CDW phase at all fillings, and a softened phonon frequency. An effective linear model with a renormalized interaction strength and phonon frequency can qualitatively capture this physics; however, the quantitative effects of the non-linearity on both the electronic and phononic degrees of freedom cannot be captured by such a model. These results are significant for typical non-linear coupling strengths found in real materials, indicating that non-linearity can have a significant influence on the physics of many e-ph coupled systems.

We have 12 pages and 13 figures

References in corpus (17)

• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Theory of nonlinear phononics for coherent light-control of solids
• Green's function of a dressed particle
• Geometry Dependence of the Sign Problem
• Quantum Monte Carlo and variational approaches to the Holstein model
• Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron
• Diagrammatic Monte Carlo method for many-polaron problems
• Ultrafast modulation of the chemical potential in BaFe${}_2$As${}_2$ by coherent phonons
• Electron-phonon coupling in crystalline organic semiconductors: Microscopic evidence for nonpolaronic charge carriers
• Phonon-assisted optical excitation in the narrow bandgap Mott insulator Sr3Ir2O7
• Electron-phonon interaction in the three-band model
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Single polaron properties for double-well electron-phonon coupling
• The effects of non-linear electron-phonon interactions on superconductivity and charge-density-wave correlations
• Fermi surface of three-dimensional La1-xSrxMnO3 explored by soft-X-ray ARPES: Rhombohedral lattice distortion and its effect on magnetoresistance
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model

Cited by in corpus (19)

• Light-enhanced electron-phonon coupling from nonlinear electron-phonon coupling
• Phonon dispersion and the competition between pairing and charge order
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Relative importance of nonlinear electron-phonon coupling and vertex corrections in the Holstein model
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• The polaron paradigm: a dual coupling effective band model
• A perspective on machine learning and data science for strongly correlated electron problems
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• Polaron with Quadratic Electron-phonon Interaction
• A functional approach to the electronic and bosonic dynamics of many-body systems perturbed with an arbitrary strong electron-boson interaction
• The two-dimensional $t$-$t^{\prime }$ Holstein model
• Quantum Monte Carlo study of an anharmonic Holstein model
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Soliton States From Quadratic Electron-Phonon Interaction
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Magnetic impurities in a charge-ordered background
• Polarons with arbitrary nonlinear electron-phonon interaction
• Phonon-induced disorder in dynamics of optically pumped metals from non-linear electron-phonon coupling