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Wulayimu Maimaiti
복잡계 이론물리 연구단
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Compact localized states and flat-band generators in one dimension

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Title
Compact localized states and flat-band generators in one dimension
Author(s)
Wulayimu Maimaiti; Alexey Andreanov; Hee Chul Park; Oleg Gendelman; Sergej Flach
Publication Date
2017-03
Journal
PHYSICAL REVIEW B, v.95, no.11, pp.115135 -
Publisher
AMER PHYSICAL SOC
Abstract
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. © 2017 American Physical Society
URI
http://pr.ibs.re.kr/handle/8788114/3443
DOI
10.1103/PhysRevB.95.115135
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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