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Cited by 517

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Phonon effects in molecular transistors: Quantal and classical treatment

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Mitra, A., Aleiner, I., Millis, A. J.·2004·Physical Review B

Abstract

We present a comprehensive theoretical treatment of the effect of electron-phonon interactions on molecular transistors, including both quantal and classical limits. We study both equilibrated and out of equilibrium phonons. We present detailed results for conductance, noise, and phonon distribution in two regimes. One involves temperatures large as compared to the rate of electronic transitions on and off the dot; in this limit our approach yields classical rate equations, which are solved numerically for a wide range of parameters. The other regime is that of low temperatures and weak electron-phonon coupling where a perturbative approximation in the Keldysh formulation can be applied. The interplay between the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced renormalization of the dot-lead coupling is found to be important. Whether or not the phonons are able to equilibrate in a time rapid compared to the transit time of an electron through the dot is found to affect the conductance. Observable signatures of phonon equilibration are presented. We also discuss the nature of the low-$T$ to high-$T$ crossover.

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Metadata

Authors
Mitra, A., Aleiner, I., & Millis, A. J.
Venue
Physical Review B
Published
2004-06-07
Volume
69
Issue
24
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2105707599
Cited by
517
References
17
FWCI
36.62
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Phonon effects in molecular transistors: Quantal and classical treatment. https://app.cochat.ai/papers/10.1103/physrevb.69.245302
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Mitra, A., Aleiner, I., & Millis, A. J. (2004). Phonon effects in molecular transistors: Quantal and classical treatment. Physical Review B. https://doi.org/10.1103/physrevb.69.245302

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