Single polaron properties for double-well electron-phonon coupling

Abstract

We show that in crystals where light ions are symmetrically intercalated between heavy ions, the electron-phonon coupling for carriers located at the light sites cannot be described by a Holstein model. We introduce the double-well electron-phonon coupling model to describe the most interesting parameter regime in such systems, and study it in the single carrier limit using the momentum average approximation. For sufficiently strong coupling, a small polaron with a robust phonon cloud appears at low energies. While some of its properties are similar to those of a Holstein polaron, we highlight some crucial differences. These prove that the physics of the double-well electron-phonon coupling model cannot be reproduced with a linear Holstein model.

13 pages, 11 figures

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Cited by in corpus (16)

• Properties of the non-linear Holstein polaron at finite doping and temperature
• Discontinuous polaron transition in a two-band model
• Strongly bound yet light bipolarons for double-well electron-phonon coupling
• 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
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Dynamical quantum typicality: Simple method for investigating transport properties applied to the Holstein model
• Soliton States From Quadratic Electron-Phonon Interaction
• Optical manipulation of bipolarons in a system with nonlinear electron-phonon coupling
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• Analytic method for quadratic polarons in nonparabolic bands
• Polarons with arbitrary nonlinear electron-phonon interaction
• Spectral function of a bipolaron coupled to dispersive optical phonons
• Phonon-induced disorder in dynamics of optically pumped metals from non-linear electron-phonon coupling
• Extending the Feynman variational principle and analytical methods to lattice polarons