Abstract
AbstractTopological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized nonlocal property commonly manifests through exotic bulk phenomena and corresponding robust boundary effects. In our work we study a system where the spectral bands are associated with non-quantized indices, but nevertheless possess robust boundary states. We present a theoretical analysis, where we show that the square of the Hamiltonian exhibits quantized indices. The findings are experimentally demonstrated by using photonic Aharonov-Bohm cages.
Funder
Deutsche Forschungsgemeinschaft
Alfried Krupp von Bohlen und Halbach-Stiftung
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Biochemistry, Genetics and Molecular Biology,General Chemistry
Reference32 articles.
1. Peskin, M. E. & Schroeder, D. V. An Introduction to Quantum Field Theory. (Addison-Wesley, Reading, 1995).
2. Kane, C. & Lubensky, T. Topological boundary modes in isostatic lattices. Nat. Phys. 10, 39–45 (2014).
3. Cooper, F., Khare, A. & Sukhatme, U. Supersymmetry and quantum mechanics. Phys. Rep. 251, 267–385 (1995).
4. Arkinstall, J., Teimourpour, M., Feng, L., El-Ganainy, R. & Schomerus, H. Topological tight-binding models from nontrivial square roots. Phys. Rev. B 95, 165109-1–165109-16 (2017).
5. Klitzing, Kv, Dorda, G. & Pepper, M. New Method for high-accuracy determination of the fine-structure constant based on quantized hall resistance. Phys. Rev. Lett. 45, 494–497 (1980).
Cited by
115 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献