تقرير
Anomalous multifractality in quantum chains with strongly correlated disorder
| العنوان: | Anomalous multifractality in quantum chains with strongly correlated disorder |
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| المؤلفون: | Duthie, Alexander, Roy, Sthitadhi, Logan, David E. |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics, Quantum Physics |
| الوصف: | We demonstrate numerically that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder, above a threshold disorder strength. This regime is preceded by a mixed and an extended regime at weaker disorder strengths, with the former hosting both extended and multifractal eigenstates. The multifractal states we find are markedly different from conventional multifractal states in their structure, as they reside approximately uniformly over a continuous segment of the chain, and the lengths of these segments scale non-trivially with system size. This anomalous nature also leaves imprints on dynamics. An initially localised wavepacket shows ballistic transport, in contrast to the slow, generally sub-diffusive, transport commonly associated with multifractality. However, the timescale over which this ballistic transport persists again scales non-trivially with the system size. Comment: 6 pages, 6 figures + supplementary material (2 pages); minor modifications and updated references |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.106.L020201 |
| URL الوصول: | http://arxiv.org/abs/2112.09856 |
| رقم الأكسشن: | edsarx.2112.09856 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.106.L020201 |
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