Report
Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
| العنوان: | Competition of First-Order and Second-Order Topology on the Honeycomb Lattice |
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| المؤلفون: | Bunney, Matthew, Mizoguchi, Tomonari, Hatsugai, Yasuhiro, Rachel, Stephan |
| المصدر: | Phys. Rev. B 105, 045113 (2022) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics |
| الوصف: | We investigate both first-order topology, as realized through Haldane's model, and second-order topology, implemented through an additional Kekul\'e-distortion, on the honeycomb lattice. The interplay and competition of both terms result in a phase diagram at half-filling which contains twelve distinct phases. All phases can be characterized by the first Chern number or by a quantized $\mathbb{Z}_Q$ Berry phase. Highlights include phases with high Chern numbers, a novel $\mathbb{Z}_6$ topological phase, but also coupled kagome-lattice Chern insulators. Furthermore, we explore the insulating phases at lower fillings, and find again first-order and second-order topological phases. Finally, we identify real-space structures which feature corner states not only at half but also at third and sixth fillings, in agreement with the quantized $\mathbb{Z}_Q$ Berry phases. Comment: 19 pages, 14 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.105.045113 |
| URL الوصول: | http://arxiv.org/abs/2110.15549 |
| رقم الانضمام: | edsarx.2110.15549 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.105.045113 |
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