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.

arXiv commentWe have 12 pages and 13 figures

References in corpus (34)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Superconductivity in Fullerides
• Nonlinear phononics: A new ultrafast route to lattice control
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Site-selective Mott transition in rare earth nickelates
• Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
• Anisotropic electron-phonon interaction in the cuprates
• Charge disproportionation without charge transfer in the rare-earth nickelates as a possible mechanism for the metal-insulator transition
• Theory of nonlinear phononics for coherent light-control of solids
• Nodal quasiparticle in pseudogapped colossal magnetoresistive manganites
• Coupling Of The B1g Phonon To The Anti-Nodal Electronic States of Bi2Sr2Ca0.92Y0.08Cu2O(8+delta)
• Deviations from Fermi-liquid behavior above $T_c$ in 2D short coherence length superconductors
• Origins of bad metal conductivity and the insulator-metal transition in the rare-earth nickelates
• Green's function of a dressed particle
• Geometry Dependence of the Sign Problem
• The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
• Coherent Phonon Coupling to Individual Bloch States in Photoexcited Bismuth
• Quantum Monte Carlo and variational approaches to the Holstein model
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-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
• Spectroscopic evidence for polaronic behaviour of the strong spin-orbit insulator Sr${}_3$Ir${}_2$O${}_7$
• Benchmark of a modified Iterated Perturbation Theory approach on the 3d FCC lattice at strong coupling
• 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
• Going beyond the linear approximation in describing electron- phonon coupling: relevance for the Holstein model
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• Single polaron properties for double-well electron-phonon coupling
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• 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

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• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
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