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@ARTICLE{Khedri:840275,
author = {Khedri, A. and Costi, Theodoulos and Meden, V.},
title = {{E}xponential and power-law renormalization in
phonon-assisted tunneling},
journal = {Physical review / B},
volume = {96},
number = {19},
issn = {2469-9950},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2017-07822},
pages = {195155},
year = {2017},
abstract = {We investigate the spinless Anderson-Holstein model
routinely employed to describe the basic physics of
phonon-assisted tunneling in molecular devices. Our focus is
on small to intermediate electron-phonon coupling; we
complement a recent strong coupling study [Phys. Rev. B 87,
075319 (2013)]. The entire crossover from the antiadiabatic
regime to the adiabatic one is considered. Our analysis
using the essentially analytical functional renormalization
group approach backed up by numerical renormalization group
calculations goes beyond lowest order perturbation theory in
the electron-phonon coupling. In particular, we provide an
analytic expression for the effective tunneling coupling at
particle-hole symmetry valid for all ratios of the bare
tunnel coupling and the phonon frequency. It contains the
exponential polaronic as well as the power-law
renormalization in the electron-phonon interaction; the
latter can be traced back to x-ray edgelike physics. In the
antiadiabatic and the adiabatic limit this expression agrees
with the known ones obtained by mapping to an effective
interacting resonant level model and lowest order
perturbation theory, respectively. Away from particle-hole
symmetry, we discuss and compare results from several
approaches for the zero temperature electrical conductance
of the model.},
cin = {IAS-3 / JARA-HPC},
ddc = {530},
cid = {I:(DE-Juel1)IAS-3-20090406 / $I:(DE-82)080012_20140620$},
pnm = {142 - Controlling Spin-Based Phenomena (POF3-142) /
Thermoelectric properties of molecular quantum dots and
time-dependent response of quantum dots $(jiff23_20140501)$},
pid = {G:(DE-HGF)POF3-142 / $G:(DE-Juel1)jiff23_20140501$},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000416235500007},
doi = {10.1103/PhysRevB.96.195155},
url = {https://juser.fz-juelich.de/record/840275},
}