Münster 1997 – scientific programme
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TT: Tiefe Temperaturen
TT 1: Mesoskopische Systeme
TT 1.10: Talk
Monday, March 17, 1997, 12:45–13:00, F1
Low frequency admittance and capacitance of mesoscopic conductors — •Thomas Christen1 and Markus Buttiker2 — 1ABB Research Corporate, CH-5405 Baden-Daettwil, Switzerland — 2DPT, University of Geneva, 24 Quai E. Ansermet, CH-1211 Geneva, Switzerland
We present a theory for the low frequency admittance and the capacitance of low-dimensional phase-coherent conductors. We emphazise gauge invariance and current and charge conservation of the theory. We apply our approach to a quantum point contact. It turns out that the capacitance of the quantum point contact decreases with decreasing reflection probability and vanishes for full transmission. The emittance which measures the imaginary part of the low frequency admittance also decreases but becomes negative for full transmission.
T. Christen and M. Buttiker: Phys. Rev. Lett. 77, 143 (1996)