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Semi-localized ground state in a 1D system with long-range hopping

Bahovadinov, Murod S. et al.
arXiv (All) · Papers
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disordered-systems-and-neural-networksstatistical-mechanics
We study the localization of a quantum particle in a one-dimensional disordered system with long-range hopping amplitudes $t(r)\propto r^{-a}$. In contrast to the standard one-dimensional Anderson model ($a\to\infty$), in which all states are localized and the localization length is minimal at the b
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