Abstract
We developed a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method for transport of non-interacting electrons, we generalize the Landauer formula for transient currents and time-dependent potentials. The result has a very simple form and clear physical interpretation. As an example, we apply it to resonant tunneling through a quantum dot where the tunneling barriers are oscillating in time. We obtain an analytical expression for the time-dependent (ac) resonant current. However, in the adiabatic limit this expression displays the dc current for zero bias (electron pumping).
| Original language | English |
|---|---|
| Article number | 014013 |
| Number of pages | 6 |
| Journal | Physica Scripta T |
| Volume | 2015 |
| Issue number | T165 |
| DOIs | |
| Publication status | Published - 7 Oct 2015 |
| Event | Frontiers of Quantum and Mesoscopic Thermodynamics, FQMT 2013 - Prague, Czech Republic Duration: 29 Jul 2013 → 3 Aug 2013 |
Funding
The hospitality of the Kavli Institute for Theoretical Physics China, CAS, Beijing 100190, China, where a part of this work was completed, is gratefully acknowledged. This work was supported by the Israel Science Foundation under grant no. 711091. The author is thankful to A Aharony, O Entin-Wohlman, T Brandes, and G Schaller for very useful discussions.
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy