| Autor: |
Liu, Jie, Danieli, Carlo, Zhong, Jianxin, Römer, Rudolf A. |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Phys. Rev. B 106, 214204 (2022) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevB.106.214204 |
| Popis: |
Uncorrelated disorder in generalized 3D Lieb models gives rise to the existence of bounded mobility edges, destroys the macroscopic degeneracy of the flat bands and breaks their compactly-localized states. We now introduce a mix of order and disorder such that this degeneracy remains and the compactly-localized states are preserved. We obtain the energy-disorder phase diagrams and identify mobility edges. Intriguingly, for large disorder the survival of the compactly-localized states induces the existence of delocalized eigenstates close to the original flat band energies -- yielding seemingly divergent mobility edges. For small disorder, however, a change from extended to localized behavior can be found upon decreasing disorder -- leading to an unconventional ``inverse Anderson" behavior. We show that transfer matrix methods, computing the localization lengths, as well as sparse-matrix diagonalization, using spectral gap-ratio energy-level statistics, are in excellent quantitative agreement. The preservation of the compactly-localized states even in the presence of this disorder might be useful for envisaged storage applications. |
| Databáze: |
arXiv |
| Externí odkaz: |
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