1. Single-Electron Box and the Helicity Modulus of an Inverse SquareXYModel
- Author
-
Walter Hofstetter and Wilhelm Zwerger
- Subjects
Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed matter physics ,FOS: Physical sciences ,General Physics and Astronomy ,Conductance ,Inverse ,Electron ,Renormalization group ,Condensed Matter::Mesoscopic Systems and Quantum Hall Effect ,Classical XY model ,Helicity ,Square (algebra) ,Quantum mechanics ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,Perturbation theory - Abstract
We calculate the average number of electrons on a metallic single-electron-box as a function of the gate voltage for arbitrary values of the tunneling conductance. In the vicinity of the plateaus the problem is equivalent to calculating the helicity modulus of a classical inverse square XY-model in one dimension. By a combination of perturbation theory, a two-loop renormalization group calculation and a Monte-Carlo simulation in the intermediate regime we provide a complete description of the smearing of the Coulomb staircase at zero temperature with increasing conductance., Comment: 4 pages revtex, 1 eps figure
- Published
- 1997