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arXiv:2608.25806

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

M. S. Bahovadinov, Faridun N. Jalolov, V. E. Kravtsov, B. L. Altshuler, Georgy V. Shlyapnikov

Published Aug 26, 2026• 0 citations
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Abstract

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 band edge, the long-range model with $1

DOI
10.48550/arxiv.2608.25806

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