期刊
PHYSICAL REVIEW B
卷 95, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.95.115135
关键词
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资金
- [IBS-R024-D1]
- Ministry of Science & ICT (MSIT), Republic of Korea [IBS-R024-D1-2017-A00] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
Flat bands (FB) are strictly dispersionless bands in the Bloch spectrum of a periodic lattice Hamiltonian, recently observed in a variety of photonic and dissipative condensate networks. FB Hamiltonians are fine-tuned networks, still lacking a comprehensive generating principle. We introduce a FB generator based on local network properties. We classify FB networks through the properties of compact localized states (CLS) which are exact FB eigenstates and occupy U unit cells. We obtain the complete two-parameter FB family of two-band d = 1 networks with nearest unit cell interaction and U = 2. We discover a novel high symmetry sawtooth chain with identical hoppings in a transverse dc field, easily accessible in experiments. Our results pave the way towards a complete description of FBs in networks with more bands and in higher dimensions.
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