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

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journal contribution
posted on 31.01.2013, 15:16 authored by Paul E. Spencer, John Samson, P.E. Kornilovitch, A.S. Alexandrov
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 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 strongcoupling 1/ expansion. We show that the exact results agree well with the canonical Fr¨ohlich 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.

History

School

  • Science

Department

  • Physics

Citation

SPENCER, P.E. ... et al, 2005. Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study. Physical Review B, 71 (18), 184310 (19pp.).

Publisher

© Americal Physical Society

Version

VoR (Version of Record)

Publication date

2005

ISSN

1098-0121

Language

en