تقرير
Theoretical methods for excitonic physics in two-dimensional materials
| العنوان: | Theoretical methods for excitonic physics in two-dimensional materials |
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| المؤلفون: | Quintela, M. F. C. Martins, Henriques, J. C. G., Peres, N. M. R. |
| المصدر: | Physica Status Solid B 2200097 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics |
| الوصف: | In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit all the details associated with the different methods, thus allowing newcomers to do research on their own, without experiencing a steep learning curve. The tutorial starts with a variational method and ends with a simple semi-analytical approach to solve the Bethe-Salpeter equation in two-dimensional (2D) gapped materials. For the first methods addressed in this tutorial, we focus on a single layer of hexagonal Boron Nitride (hBN) and of transition metal dichalcogenide (TMD), as these are exemplary materials in the field of 2D excitons. For explaining the Bethe- Salpeter method we choose the biased bilayer graphene, which presents a tunnable band gap. The system has the right amount of complexity (without being excessive). This allows the presentation of the solution of the Bethe-Salpeter equation in a context that can be easily generalized to more complex systems or to apply it to simpler models. Comment: 31 pages, 111 references; we welcome comments and requests to add additional references; several changes relatively to version V1 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1002/pssb.202200097 |
| URL الوصول: | http://arxiv.org/abs/2202.12010 |
| رقم الأكسشن: | edsarx.2202.12010 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1002/pssb.202200097 |
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