Quantum mechanics of the electromagnetic environment in the single-junction coulomb blockade

K. Flensberg; S. M. Girvin; M. Jonson; D. R. Penn; M. D. Stiles

doi:10.1088/0031-8949/1992/T42/032

Quantum mechanics of the electromagnetic environment in the single-junction coulomb blockade

K. Flensberg, S. M. Girvin, M. Jonson, D. R. Penn, M. D. Stiles

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23 Citationer (Scopus)

Abstract

We discuss the interaction of a tunneling electron with its electromagnetic environment when the latter either is in equilibrium or includes an applied microwave field. The environment of an isolated tunnel junction is modeled by a set of harmonic oscillators that are suddenly displaced when an electron tunnels across the junction. We treat these displaced oscillators quantum mechanically, predicting behavior that is very different than that predicted by a semiclassical treatment. In particular, the shape of the zero-bias anomaly caused by the Coulomb blockade (a single-electron charging effect), is found to be strongly dependent on the impedance, Z(ω), of the leads connected to the junction. Comparison with three recent experiments demonstrates that the quantum mechanical treatment of this model correctly describes the essential physics in these systems.

Originalsprog	Engelsk
Tidsskrift	Physica Scripta
Vol/bind	1992
Udgave nummer	T42
Sider (fra-til)	189-206
Antal sider	18
ISSN	0031-8949
DOI	https://doi.org/10.1088/0031-8949/1992/T42/032
Status	Udgivet - 1 jan. 1992

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AU - Girvin, S. M.

AU - Jonson, M.

AU - Penn, D. R.

AU - Stiles, M. D.

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N2 - We discuss the interaction of a tunneling electron with its electromagnetic environment when the latter either is in equilibrium or includes an applied microwave field. The environment of an isolated tunnel junction is modeled by a set of harmonic oscillators that are suddenly displaced when an electron tunnels across the junction. We treat these displaced oscillators quantum mechanically, predicting behavior that is very different than that predicted by a semiclassical treatment. In particular, the shape of the zero-bias anomaly caused by the Coulomb blockade (a single-electron charging effect), is found to be strongly dependent on the impedance, Z(ω), of the leads connected to the junction. Comparison with three recent experiments demonstrates that the quantum mechanical treatment of this model correctly describes the essential physics in these systems.

AB - We discuss the interaction of a tunneling electron with its electromagnetic environment when the latter either is in equilibrium or includes an applied microwave field. The environment of an isolated tunnel junction is modeled by a set of harmonic oscillators that are suddenly displaced when an electron tunnels across the junction. We treat these displaced oscillators quantum mechanically, predicting behavior that is very different than that predicted by a semiclassical treatment. In particular, the shape of the zero-bias anomaly caused by the Coulomb blockade (a single-electron charging effect), is found to be strongly dependent on the impedance, Z(ω), of the leads connected to the junction. Comparison with three recent experiments demonstrates that the quantum mechanical treatment of this model correctly describes the essential physics in these systems.

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Quantum mechanics of the electromagnetic environment in the single-junction coulomb blockade

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