Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909249192329216 |
|---|---|
| author | Kolovsky, Andrey R. |
| author_facet | Kolovsky, Andrey R. |
| contents | We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the problem by including 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 $γ\rightarrow0$ the obtained results are shown to reproduce those of the Landauer-Büttiker theory. Thus, the presented analysis proves analytical correspondence between the Landauer-Büttiker and master-equation approaches to quantum transport, -- the problem which resisted solution for decades. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts Kolovsky, Andrey R. Mesoscale and Nanoscale Physics Quantum Physics We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the problem by including 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 $γ\rightarrow0$ the obtained results are shown to reproduce those of the Landauer-Büttiker theory. Thus, the presented analysis proves analytical correspondence between the Landauer-Büttiker and master-equation approaches to quantum transport, -- the problem which resisted solution for decades. |
| title | Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2402.04262 |