Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study

Abstract

We present the numerically exact ground state energy, effective mass, and isotope exponents of a one-dimensional lattice polaron, valid for any range of electron-phonon interaction, applying a new continuous-time Quantum Monte Carlo (QMC) technique in a wide range of coupling strength and adiabatic ratio. The QMC method is free from any systematic finite-size and finite-time-step errors. We compare our numerically exact results with analytical weak-coupling theory and with the strong-coupling $1/\lambda$ expansion. We show that the exact results agree well with the canonical Fröhlich and Holstein-Lang-Firsov theories in the weak and strong coupling limits, respectively, for any range of interaction. We find a strong dependence of the polaron dynamics on the range of interaction. An increased range of interaction has a similar effect to an increased (less adiabatic) phonon frequency: specifically, a reduction in the effective mass.

27 pages, 16 figures, to appear Phys Rev B. Introduction rewritten, comparison with other authors extended, description of method shortened, improved treatment of weak coupling theory

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• Langevin Simulations of a Long Range Electron Phonon Model
• Effects of lattice geometry and interaction range on polaron dynamics
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• Spectral functions of the spinless Holstein model
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• Quantum Monte Carlo study of an anharmonic Holstein model
• Relevant coherent states method for the quantum adiabatic dynamics of lattice-coupled charge carriers
• Polaron action for multimode dispersive phonon systems
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
• Quantum adiabatic polarons by translationally invariant perturbation theory
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