تقرير
Computational quantum transport
| العنوان: | Computational quantum transport |
|---|---|
| المؤلفون: | Waintal, Xavier, Wimmer, Michael, Akhmerov, Anton, Groth, Christoph, Nikolic, Branislav K., Istas, Mathieu, Rosdahl, Tómas Örn, Varjas, Daniel |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics, Physics - Computational Physics |
| الوصف: | This review is devoted to the different techniques that have been developed to compute the coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed in the literature, we provide a comprehensive and pedagogical derivation of the two formalisms on which these techniques are based: the scattering approach and the Green's function approach. We show that the scattering problem can be formulated as a system of linear equations and that different existing algorithms for solving this scattering problem amount to different sequences of Gaussian elimination. We explicitly prove the equivalence of the two formalisms. We discuss the stability and numerical complexity of the existing methods. Comment: 56 pages, 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.16257 |
| رقم الأكسشن: | edsarx.2407.16257 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |