posted on 2013-01-31, 15:16authored byPaul 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.).