The effect of dispersive optical phonons on the behaviour of a Holstein polaron

Abstract

We use the approximation-free Bold Diagrammatic Monte Carlo technique to study the effects of a finite dispersion of the optical phonon mode on the properties of the Holstein polaron, especially its effective mass. For weak electron-phonon coupling the effect is very small, but it becomes significant for moderate and large electron-phonon coupling. The effective mass is found to increase (decrease) if the phonon dispersion has a negative (positive) curvature at the centre of the Brillouin zone.

References in corpus (6)

• Digital Quantum Simulation of the Holstein Model in Trapped Ions
• Investigating polaron transitions with polar molecules
• Quantum simulation of small-polaron formation with trapped ions
• Going beyond the linear approximation in describing electron- phonon coupling: relevance for the Holstein model
• Perturbation theory of the mass enhancement for a polaron coupled to acoustic phonons
• Phonon spectral function of the Holstein polaron

Cited by in corpus (15)

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• Phonon dispersion and the competition between pairing and charge order
• Electron-Phonon Interactions in Flat Band Systems
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Polaronic effects in one- and two-band quantum systems
• Cumulant methods for electron-phonon problems. II. The self-consistent cumulant expansion
• Effect of dispersive optical phonons on the properties of Bond Su-Schrieffer-Heeger polaron
• Upper bound of one-magnon excitation and lower bound of effective mass for ferromagnetic spinor Bose and Fermi gases
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• Spectral function of a bipolaron coupled to dispersive optical phonons
• Quantum transport in an environment parametrized by dispersive bosons
• Summing Real Time Feynman Paths of Lattice Polaron with Matrix Product States
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Fingerprints of preformed pairs in two-electron angle-resolved photoemission spectroscopy