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تسجيل مستخدم جديدThe Aubry-Andre model as the hobbyhorse for understanding localization phenomenon
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نشر من قبل
Gustavo Alexis Dominguez Castro Tavo
تاريخ النشر
2018
مجال البحث
فيزياء
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English
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We present a thorough pedagogical analysis of the single particle localization phenomenon in a quasiperiodic lattice in one dimension. Description of disorder in the lattice is represented by the Aubry-Andre model. Characterization of localization is performed through the analysis of both, stationary and dynamical properties. The stationary properties investigated are the inverse participation ratio (IPR), the normalized participation ratio (NPR) and the energy spectrum as a function of the disorder strength. As expected, the distinctive Hofstadter pattern is found. Two dynamical quantities allow discerning the localization phenomenon, being the spreading of an initially localized state and the evolution of population imbalance in even and odd sites across the lattice.
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