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Atto-localization in a one-dimensional lattice

2026/01/01 by D. R. Mašović

paper · doi:10.1139/cjp-2025-0195

crossref issued 2026/01/01 · crossref published 2026/01/01 · crossref published-print 2026/01/01 · crossref created 2026/01/22 · crossref deposited 2026/01/22 · crossref indexed 2026/07/29

Abstract

A simple tight-binding model with hopping to the nearest-neighbor sites in the field of attosecond pulse train is considered. A new form of localization, atto-localization, has been obtained. It is checked by simulating as realistically as possible the appropriate hopping in the lattice. This is a drastic change with respect to the Anderson localization. Examinations are performed on an ideal and a disordered lattice. Pair-correlations, density of states, inverse participation ratio and energy level statistics are calculated and verified. The condition under which atto-localization does not appear is also given.

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