تقرير
Topological Phase Transitions from Harper to Fibonacci Crystals
| العنوان: | Topological Phase Transitions from Harper to Fibonacci Crystals |
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| المؤلفون: | Amit, Guy, Dana, Itzhack |
| المصدر: | Phys. Rev. B 97, 075137 (2018) |
| سنة النشر: | 2017 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Other Condensed Matter, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | Topological properties of Harper and generalized Fibonacci chains are studied in crystalline cases, i.e., for rational values of the modulation frequency. The Harper and Fibonacci crystals at fixed frequency are connected by an interpolating one-parameter Hamiltonian. As the parameter is varied, one observes topological phase transitions, i.e., changes in the Chern integers of two bands due to the degeneracy of these bands at some parameter value. For small frequency, corresponding to a semiclassical regime, the degeneracies are shown to occur when the average energy of the two bands is approximately equal to the energy of the classical separatrix. Spectral and topological features of the Fibonacci crystal for small frequency leave a clear imprint on the corresponding Hofstadter butterfly for arbitrary frequency. Comment: 11 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.97.075137 |
| URL الوصول: | http://arxiv.org/abs/1709.10127 |
| رقم الأكسشن: | edsarx.1709.10127 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.97.075137 |
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