Nonequilibrium theory of Coulomb blockade in open quantum dots
- 5 August 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 72 (7), 075316
- https://doi.org/10.1103/physrevb.72.075316
Abstract
We develop a nonequilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the Bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method, and address them using a expansion in the inverse number of channels. At leading order this yields the self-consistent potential for the charging interaction. Coulomb blockade effects arise as quantum corrections to transport at the next order. Our approach unifies the phase functional and Bosonization approaches to the problem, as well as providing a simple picture for the conductance corrections in terms of renormalization of the dot’s elastic-scattering matrix, which is obtained also by elementary perturbation theory. For the case of ideal contacts, a symmetry argument immediately allows us to conclude that interactions give no signature in the averaged conductance. Nonequilibrium applications to the pumped current in a quantum pump are worked out in detail.
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This publication has 74 references indexed in Scilit:
- Quantum effects in Coulomb blockadePhysics Reports, 2002
- Effects of Electron-Electron Interaction on the Conductance of Open Quantum DotsPhysical Review Letters, 1999
- Mesoscopic charge quantizationPhysical Review B, 1998
- Coulomb blockade in a quantum dot coupled strongly to a leadPhysical Review B, 1996
- Theory of strong inelastic cotunnelingPhysical Review B, 1995
- Coulomb Blockade Oscillations of Conductance in the Regime of Strong TunnelingPhysical Review Letters, 1995
- Coulomb blockade at almost perfect transmissionPhysical Review B, 1995
- Transport properties of mesoscopic tunnel junctions: nonperturbative analysisPhysics Letters A, 1993
- Capacitance and conductance of mesoscopic systems connected by quantum point contactsPhysical Review B, 1993
- Quantum coherent effects, phase transitions, and the dissipative dynamics of ultra small tunnel junctionsPhysics Reports, 1990