Conductance-Phase Determination in Double Slit Transmission across a Quantum Dot by Hilbert Transform Method
arXiv:cond-mat/0406709 · doi:10.1103/PhysRevB.61.2716
Abstract
Recent novel mesoscopic two-arm experiments involving quantum dots, electron interferometry and Aharononov-Bohm effects have enabled measuring the electron transmission probabilities and the phases. Unexpected features in the phases as function of the gap voltage U have simulated intensive theoretical works. It is shown in this paper that the phases (f) and conductances (|C|), appearing in both the experimental and the theoretical works, are interrelated through integral expressions, causing f and log(|C|) to be Hilbert transforms. The empirically found interrelations imply remarkable analytical properties of the U-dependence of wave-functions in mesoscopic systems.
References in corpus (1)
Cited by in corpus (6)
- Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?
- Negative partial density of states in mesoscopic systems
- Injectance and a paradox
- Conductance Phases in Aharonov-Bohm Ring Quantum Dots
- Phase rigidity breaking in open Aharonov-Bohm ring coupled to a cantilever
- Pauli's Electron in Ehrenfest and Bohm Theories, a Comparative Study