Localization and delocalization in one-dimensional systems with translation-invariant hopping

被引：1
|
作者：
Sepehrinia, Reza [1 ,2 ]
机构：
[1] Univ Tehran, Dept Phys, Tehran 14395547, Iran
[2] IPM, Inst Res Fundamental Sci, Sch Phys, Tehran 193955531, Iran
来源：
PHYSICAL REVIEW B | 2021年 / 103卷 / 02期
关键词：
QUANTUM DIFFUSION; ABSENCE; MODEL;
D O I：
10.1103/PhysRevB.103.L020201
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present a theory of Anderson localization on a one-dimensional lattice with translation-invariant hopping. We find by analytical calculation the localization length for arbitrary finite-range hopping in the single propagating channel regime. Then by examining the convergence of the localization length, in the limit of infinite hopping range, we revisit the problem of localization criteria in this model and investigate the conditions under which it can be violated. Our results reveal possibilities of having delocalized states by tuning the long-range hopping.
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页数：4
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