| Issue |
EPL
Volume 146, Number 6, June 2024
|
|
|---|---|---|
| Article Number | 61001 | |
| Number of page(s) | 5 | |
| Section | Statistical physics and networks | |
| DOI | https://doi.org/10.1209/0295-5075/ad56c3 | |
| Published online | 05 July 2024 | |
Deriving Landauer's formula by using the master equation approach
Kirensky Institute of Physics, Federal Research Center KSC SB RAS - 660036, Krasnoyarsk, Russia and School of Engineering Physics and Radio Electronics, Siberian Federal University - 660041, Krasnoyarsk, Russia
Received: 2 April 2024
Accepted: 11 June 2024
We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the transport problem by taking into consideration relaxation processes in contacts (which are characterized by the contact self-thermalization rate γ) and then solve it by using the master equation approach. In the limit 
the obtained results are shown to reproduce those of the Landauer theory. Thus, the presented analysis proves correspondence between the Landauer and master equation approaches to quantum transport —a problem which has been waiting for a solution for decades.
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