Abstract
When a shutter, which differentiates between two adjacent particles’ reservoirs with a voltage gap, is lifted, a current emerges. In this paper, the temporal dynamics of this emerging current is analyzed. The main results are as follows: (A) the current’s prefactor in the short-time behavior is related to the long-time frequencies, by which the current converges to its equilibrium value (the conductance quantum unit 2e2/h). (B) In the short-time regime, the current is proportional to the square root of the time. (C) The maximum overshoot conductance is bounded by Gmax = ζe2/h, where ζ is a universal value which is very close to Euler’s number. (D) Most of these results are valid for a thin wire in 3D, even in the presence of electron–electron interactions.
Original language | English |
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Article number | 15 |
Journal | Condensed Matter |
Volume | 9 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2024 |
Keywords
- conductance
- instantaneous current
- quantum conductance
- short-time dynamics
- universal dynamics