Fidelity of an electron in one-dimensional determined potentials
Song Wen-Guang(宋文广)a)b) and Tong Pei-Qing(童培庆)a)†
a Department of Physics, Nanjing Normal University, Nanjing 210097, China; b Department of Basic Disciplines, International Studies University of People's Liberation Army, Nanjing 210039, China
Abstract We numerically study the fidelity of an electron in the one-dimensional Harper model and in the one-dimensional slowly varying potential model. Our results show that many properties of the two models can be well reflected by the fidelity: (i) the mobility edge and metal--insulator transition can be characterized by the static fidelity; (ii) the extended state and localized state can be identified by the dynamic fidelity. Therefore, it may broaden the applied areas of the fidelity.
Received: 07 March 2009
Revised: 29 April 2009
Accepted manuscript online:
PACS:
71.30.+h
(Metal-insulator transitions and other electronic transitions)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10674072) and the
Specialized Research Fund for the Doctoral Program of Higher
Education of China (Grant No 20060319007).
Cite this article:
Song Wen-Guang(宋文广) and Tong Pei-Qing(童培庆) Fidelity of an electron in one-dimensional determined potentials 2009 Chin. Phys. B 18 4707
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