Time-Dependent Current Partition in Mesoscopic Conductors
M. Buttiker (IBM T. J. Watson Res. Ctr., Yorktown Heights, N.Y.)
TL;DR
This paper investigates how currents in mesoscopic conductors respond to slowly oscillating potentials, emphasizing charge conservation and analyzing electro-chemical admittance with Coulomb interactions and magnetic flux effects.
Contribution
It introduces a charge and current conserving method for dynamic current partition and analyzes the symmetry of admittance under magnetic flux reversal in mesoscopic systems.
Findings
Electro-chemical admittance accounts for long-range Coulomb interactions.
Symmetry of admittance under Aharonov-Bohm flux reversal is discussed.
Results highlight the importance of charge conservation in dynamic current analysis.
Abstract
The currents at the terminals of a mesoscopic conductor are evaluated in the presence of slowly oscillating potentials applied to the contacts of the sample. The need to find a charge and current conserving solution to this dynamic current partition problem is emphasized. We present results for the electro-chemical admittance describing the long range Coulomb interaction in a Hartree approach. For multiply connected samples we discuss the symmetry of the admittance under reversal of an Aharonov-Bohm flux.
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