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Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study | | P. E. Spencer
; J. H. Samson
; P. E. Kornilovitch
; A. S. Alexandrov
; | | Date: |
9 Jul 2004 | | Journal: | Phys. Rev. B 71, 184310 (2005) | | Subject: | Strongly Correlated Electrons; Superconductivity | cond-mat.str-el cond-mat.supr-con | | 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. | | Source: | arXiv, cond-mat/0407250 | | Services: | Forum | Review | PDF | Favorites | |
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