VietNam 2013 

IXth Rencontres du Vietnam
Quy-Nhon, August 4-10, 2013

 QNplage

 Nanophysics: from fundamentals to applications

(the return)

 

Thursday 8
Dots and wires

› 16:10 - 16:30 (20min)
Mesoscopic quantum transport: Aharonov-Bohm problem revisisted
Phi Nguyen  1@  , Kihong Kim  2, *@  
1 : Department of Physics, Quy Nhon University  (qnu)  -  Website
170 An Duong Vuong Street, Quy Nhon City -  Vietnam
2 : Department of Physics and Division of Energy Systems Research, Ajou University  -  Website
Suwon 443-749 -  South Korea
* : Corresponding author

We numerically study the localization properties of the eigenstates of a tight-binding Hamiltonian model for spinless-noninteracting electrons moving in a one-dimensional disordered ring pierced by an Aharonov-Bohm flux. By analyzing the dependence of the inverse participation ratio on Aharonov-Bohm flux, energy, disorder, and system size, we find that all states in the ring are extended in the weak disorder limit. However, the states lying deeply in the band tails will undergo a continuous Anderson transition as the disorder strength sweeps from weak to strong disorder regimes.

Reference:

1. P. W. Anderson, Phys. Rev. 109, 1492 (1958).

2. M. Buttiker, Y. Imary, and R. Landauer, Phys. Lett. 96A, 365 (1993).

3. H. F. Cheung, Y. Gefen, E. K. Riedel, and W. H. Shih, Phys. Rev. B 37, 6050 (1988).

4. J. Heinrichs, J. Phys.: Condensed Matter 21, 295701 (2009).

5. A. C. Bleszynski-Jayich, W. E. Shanks, B. Peaudecerf, E. Ginossar, F. von Oppen, L. Glazman, and J. G. E. Harris, Science 326, 272 (2009).


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