Calculation of Anderson Localization Length by Using Generalized Quantum Kicked Rotator Analytically

• Authors: A. Gharaati , F. Bahadori , H. Boroumandi
• Languages of publication: EN

Abstracts

EN

We use the generalized quantum kicked rotator model and its relation with the Anderson model. We calculate localization length analytically. For this reason, we consider a one-dimensional rotator model for a special potential whose an impulse is applied at equal time intervals, T. We obtain time evolution of the wave function between two successive impulses by an evolution matrix. We change this model to the tight-binding model for a particle on a one-dimensional lattice. At special case the wave function is localized, and then we derive the Anderson localization length for the system analytically.

Keywords

EN

72.15.Rn

Discipline

• 72.15.Rn: Localization effects (Anderson or weak localization)

• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1
• Pages: 30-32

Dates

published

2012-01

Contributors

author

A. Gharaati

• Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran

author

F. Bahadori

• Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran

author

H. Boroumandi

• Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran

References

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Identifiers

DOI

10.12693/APhysPolA.121.30