Phase Space Description of Localization in Disordered One-Dimensional Systems

• Authors: M. Wołoszyn , B. Spisak , A. Maksymowicz
• Languages of publication: EN

Abstracts

EN

The degree of electronic localization in disordered one-dimensional systems is discussed. The model is simplified to a set of Diracδ-like functions used for the potential in the Schrödinger equation and calculations are carried out for the ground state. The disorder of topological character is introduced by the random shifts of the potential peaks. For comparison, we also discuss two aperiodic systems of the potential peaks: Thue-Morse and Fibonacci sequences. The localization, both in the momentum and the real space, is analyzed for different disorder strengths and sizes of the system. We calculate the localization length, and additionally we express the localization effects in terms of the inverse participation function and also by means of the Husimi quasi-classical distribution function in the phase space of the electron (position, momentum) coordinate system. We present the influence of disorder generated by the random and aperiodic sequences of potential on the energy spectrum.

Keywords

EN

73.21.Hb; 73.20.Fz; 71.23.An

Discipline

• 73.21.Hb: Quantum wires
• 71.23.An: Theories and models; localized states
• 73.20.Fz: Weak or Anderson localization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 4
• Pages: 523-535

Dates

published

2006-10

received

2005-10-17

(unknown)

2006-07-10

Contributors

author

M. Wołoszyn

• Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland

author

B. Spisak

• Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland

author

A. Maksymowicz

• Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland

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Identifiers

DOI

10.12693/APhysPolA.110.523