|
| | | | |
| | | |
| Stat |
Members: 3662
Articles: 2'599'751
Articles rated: 2609
11 December 2024 |
|
| | | | |
|
Article overview
| |
|
|
Crossover from Regular to Chaotic Behavior in the Conductance of Periodic Quantum Chains | | J. Cserti
; G. Szálka
; G. Vattay
; | | Date: |
24 Oct 1997 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Chaotic Dynamics | cond-mat.mes-hall chao-dyn nlin.CD | | Affiliation: | Eötvös University Budapest,Hungary | | Abstract: | The conductance of a waveguide containing finite number of periodically placed identical point-like impurities is investigated. It has been calculated as a function of both the impurity strength and the number of impurities using the Landauer-Büttiker formula. In the case of few impurities the conductance is proportional to the number of the open channels $N$ of the empty waveguide and shows a regular staircase like behavior with step heights $approx 2e^2/h$. For large number of impurities the influence of the band structure of the infinite periodic chain can be observed and the conductance is approximately the number of energy bands (smaller than $N$) times the universal constant $2e^2/h$. This lower value is reached exponentially with increasing number of impurities. As the strength of the impurity is increased the system passes from integrable to quantum-chaotic. The conductance, in units of $2e^2/h$, changes from $N$ corresponding to the empty waveguide to $sim N/2 $ corresponding to chaotic or disordered system. It turnes out, that the conductance can be expressed as $(1-c/2)N$ where the parameter $0 | | Source: | arXiv, cond-mat/9710264 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER