تقرير
Perturbed Periodic Lattices: Sharp Crossover Between Effective-Mass-Like States and Wannier-Stark-Like Ladders
| العنوان: | Perturbed Periodic Lattices: Sharp Crossover Between Effective-Mass-Like States and Wannier-Stark-Like Ladders |
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| المؤلفون: | Merlin, R. |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics |
| الوصف: | The concept of Wannier-Stark ladders, describing the equally spaced spectrum of a tightly-bound particle in a constant electric field, is generalized to account for arbitrary slowly-varying potentials. It is shown that an abrupt transition exists that separates Wannier-Stark-like from effective-mass-like behavior when the depth of the perturbation becomes equal to the width of the band of extended states. For potentials bounded from below, the spectrum bifurcates above the critical energy while the wavefunctions detach from the effective-mass region and split into two pieces. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.12215 |
| رقم الأكسشن: | edsarx.2304.12215 |
| قاعدة البيانات: | arXiv |
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