Report
From scale-free to Anderson localization: a size-dependent transition
| العنوان: | From scale-free to Anderson localization: a size-dependent transition |
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| المؤلفون: | Yılmaz, Burcu, Yuce, Cem, Bulutay, Ceyhun |
| المصدر: | Phys. Rev. B 110, 214206 (2024) |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, Quantum Physics |
| الوصف: | Scale-free localization in non-Hermitian systems is a distinctive type of localization where the localization length of certain eigenstates, known as scale-free localized (SFL) states, scales proportionally with the system size. Unlike skin states, where the localization length is independent of the system size, SFL states maintain a spatial profile that remains invariant as the system size changes. We consider a model involving a single non-Hermitian impurity in an otherwise Hermitian one-dimensional lattice. Introducing disorder into this system transforms SFL states into Anderson-localized states. In contrast to the Hatano-Nelson model, where disorder typically leads to the localization of skin states and a size-independent Anderson transition, the scale-free localization in our model causes a size-dependent Anderson transition. Comment: Published version in contents; 7 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.110.214206 |
| URL الوصول: | http://arxiv.org/abs/2411.00389 |
| رقم الانضمام: | edsarx.2411.00389 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.110.214206 |
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