تقرير
Band spectra of periodic hybrid $\delta$-$\delta^\prime$ structures
| العنوان: | Band spectra of periodic hybrid $\delta$-$\delta^\prime$ structures |
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| المؤلفون: | Gadella, M., Guilarte, J. M. Mateos, Muñoz-Castañeda, J. M., Nieto, L. M., Santamaría-Sanz, L. |
| المصدر: | Eur. Phys. J. Plus 135, 786 (2020) |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Other Condensed Matter |
| الوصف: | We present a detailed study of a generalised one-dimensional Kronig-Penney model using $\delta\text{-}\delta'$ potentials. We analyse the band structure and the density of states in two situations. In the first case we consider an infinite array formed by identical $\delta\text{-}\delta'$ potentials standing at the linear lattice nodes. This case will be known throughout the paper as the one-species hybrid Dirac comb. We investigate the consequences of adding the $\delta'$ interaction to the Dirac comb by comparing the band spectra and the density of states of pure Dirac-$\delta$ combs and one-species hybrid Dirac combs. Secondly we study the quantum system that arises when the periodic potential is the one obtained from the superposition of two one-species hybrid Dirac combs displaced one with respect to the other and with different couplings. The latter will be known as the two-species hybrid Dirac comb. One of the most remarkable results is the appearance of a curvature change in the band spectrum when the $\delta'$ couplings are above a critical value. Comment: 25 pages, 10 figures. Mayor changes have been done in the structure of the paper |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epjp/s13360-020-00818-6 |
| URL الوصول: | http://arxiv.org/abs/1909.08603 |
| رقم الأكسشن: | edsarx.1909.08603 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epjp/s13360-020-00818-6 |
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