تقرير
Fractal Dynamics in Chaotic Quantum Transport
| العنوان: | Fractal Dynamics in Chaotic Quantum Transport |
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| المؤلفون: | Kotimaki, Ville, Rasanen, Esa, Hennig, Holger, Heller, Eric J. |
| المصدر: | Phys. Rev. E 88, 022913 (2013) |
| سنة النشر: | 2012 |
| المجموعة: | Condensed Matter Nonlinear Sciences |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics, Nonlinear Sciences - Chaotic Dynamics |
| الوصف: | Despite several experiments on chaotic quantum transport in two-dimensional systems such as semiconductor quantum dots, corresponding quantum simulations within a real-space model have been out of reach so far. Here we carry out quantum transport calculations in real space and real time for a two-dimensional stadium cavity that shows chaotic dynamics. By applying a large set of magnetic fields we obtain a complete picture of magnetoconductance that indicates fractal scaling. In the calculations of the fractality we use detrended fluctuation analysis -- a widely used method in time series analysis -- and show its usefulness in the interpretation of the conductance curves. Comparison with a standard method to extract the fractal dimension leads to consistent results that, in turn, qualitatively agree with the previous experimental data. Comment: to appear in Phys. Rev. E (2013) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.88.022913 |
| URL الوصول: | http://arxiv.org/abs/1210.3815 |
| رقم الأكسشن: | edsarx.1210.3815 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.88.022913 |
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