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Effect of electron-phonon interaction range on lattice polaron dynamics: A continuous-time quantum Monte Carlo study
journal contributionposted on 2006-04-27, 13:18 authored by Paul E. Spencer, J.H. 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 strong-coupling 1∕λ 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.
CitationSPENCER 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
Publisher© American Physical Society
NotesThis article was published in the journal, Physical Review B [© American Physical Society]. It is also available at: http://link.aps.org/doi/10.1103/PhysRevB.71.184310.