The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Phonon effects in molecular transistors: Quantal and classical treatment
Open accessAbstract
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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Mahan, G. D. (2000) · doi:10.1007/978-1-4757-5714-9 · Cited by 8,249
Large On-Off Ratios and Negative Differential Resistance in a Molecular Electronic Device
Chen, J., Reed, M. A., Rawlett, A. M., & Tour, J. M. (1999) · Science · doi:10.1126/science.286.5444.1550 · Cited by 2,405
Coulomb blockade and the Kondo effect in single-atom transistors
Park, J., Pasupathy, A. N., Goldsmith, J. I., Chang, C., Yaish, Y., Petta, J. R., Rinkoski, M., Sethna, J. P., Abruña, H. D., McEuen, P. L., et al. (2002) · Nature · doi:10.1038/nature00791 · Cited by 2,009
Time-dependent transport in interacting and noninteracting resonant-tunneling systems
Jauho, A.-P., Wingreen, N. S., & Meir, Y. (1994) · Physical Review B · doi:10.1103/physrevb.50.5528 · Cited by 1,932
Nanomechanical oscillations in a single-C60 transistor
Park, H., Park, J., Lim, A. K. L., Anderson, E. H., Alivisatos, A. P., & McEuen, P. L. (2000) · Nature · doi:10.1038/35024031 · Cited by 1,789
Theory of Coulomb-blockade oscillations in the conductance of a quantum dot
Beenakker, C. W. J. (1991) · Physical Review B · doi:10.1103/physrevb.44.1646 · Cited by 1,471
Kondo resonance in a single-molecule transistor
Liang, W., Shores, M. P., Bockrath, M., Long, J. R., & Park, H. (2002) · Nature · doi:10.1038/nature00790 · Cited by 1,464
A [2]Catenane-Based Solid State Electronically Reconfigurable Switch
Collier, C. P., Mattersteig, G., Wong, E. W., Luo, Y., Beverly, K., Sampaio, J., Raymo, F. M., Stoddart, J. F., & Heath, J. R. (2000) · Science · doi:10.1126/science.289.5482.1172 · Cited by 1,379
Driving Current through Single Organic Molecules
Reichert, J., Ochs, R., Beckmann, D., Weber, H. B., Mayor, M., & Löhneysen, H. V. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.176804 · Cited by 856
Quantum effects in Coulomb blockade
Aleiner, I. L., Brouwer, P. W., & Glazman, L. I. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00063-1 · Cited by 496
Self-citation
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Metadata
- Authors
- Mitra, A., Aleiner, I., & Millis, A. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- 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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