تقرير
Universality in low-dimensional BCS theory
| العنوان: | Universality in low-dimensional BCS theory |
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| المؤلفون: | Henheik, Joscha, Lauritsen, Asbjørn Bækgaard, Roos, Barbara |
| المصدر: | Rev. Math. Phys. p. 2360005 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Superconductivity, 81Q10, 46N50, 82D55 |
| الوصف: | It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature $\Xi$ and the critical temperature $T_c$ is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density, and high density. The goal of this short note is to extend the universal behavior to lower dimensions $d=1,2$ and give an exemplary proof in the weak coupling limit. Comment: 19 pages. Contribution to the proceedings of QMath15 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0129055X2360005X |
| URL الوصول: | http://arxiv.org/abs/2301.05621 |
| رقم الأكسشن: | edsarx.2301.05621 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0129055X2360005X |
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