Quantum Mechanics of the Electromagnetic Environment in the Single-Junction Coulomb Blockade


We discuss the interaction of a tunneling electron with its electromagnetic environment|when the latter either is in equilibrium or includes an applied microwave eld. 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 dierent 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 eect), is found to be strongly dependent on the impedance, Z(!), 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 1 physics in these systems.

9 Figures and Tables

Showing 1-10 of 19 references

Phys. Rev. Lett

  • T-L Ho
  • 1983
Highly Influential
12 Excerpts

Phys. Rev. Lett. Ann. Phys

  • A O Caldeira, A J Leggett
  • 1981
Highly Influential
5 Excerpts

Phys. Rev. B

  • K Mullen, E Ben-Jacob, R C Jaklevic, Z Schuss
  • 1988
Highly Influential
4 Excerpts

Proc. of Santa Fe Conf

  • L S Kuzmin, D B Haviland
  • 1991

Many-Particle Physics

  • D Mahan
  • 1990

Physics Rep

  • G For A Review See, A D Sch On, Zaikin
  • 1990

Teor. Fiz

  • Yu V Nazarov, Zh, Eksp
  • 1990
1 Excerpt

Europhys. Lett

  • L J Geerligs, V F Anderegg, C A Van Der Jeugd, J Rojmin, J E Mooij
  • 1989

For recent reviews see for instance

  • 1989

Phys. Scr. T29

  • D Esteve, J M Martinis, +4 authors S Linkwitz
  • 1989
2 Excerpts