Journal Article

FZJ-2017-07822

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exponential and power-law renormalization in phonon-assisted tunneling

Khedri, A.FZJ* ; Costi, T. (Corresponding author)FZJ* ; Meden, V.

2017
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/15992  doi:10.1103/PhysRevB.96.195155

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.

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Contributing Institute(s):

1. Theoretische Nanoelektronik (IAS-3)
2. JARA - HPC (JARA-HPC)

Research Program(s):

1. 142 - Controlling Spin-Based Phenomena (POF3-142) (POF3-142)
2. Thermoelectric properties of molecular quantum dots and time-dependent response of quantum dots (jiff23_20140501) (jiff23_20140501)

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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