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복잡계 이론물리 연구단
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Metal-insulator transition in infinitesimally weakly disordered flat bands

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Title
Metal-insulator transition in infinitesimally weakly disordered flat bands
Author(s)
Tilen ČadeŽ; Yeongjun Kim; ANDREANOV Alexey; Flach Sergej
Publication Date
2021-11-15
Journal
Physical Review B, v.104, no.18
Publisher
American Physical Society
Abstract
© 2021 American Physical Society.We study the effect of infinitesimal onsite disorder on d-dimensional all bands flat lattices. The lattices are generated from diagonal Hamiltonians by a sequence of (d+1) local unitary transformations parametrized by angles θi. Without loss of generality, we consider the case of two flat bands separated by a finite gap, Δ. The perturbed states originating from the flat bands are described by an effective tight-binding network with finite on- and off-diagonal disorder strength which depends on the manifold angles θi. The original infinitesimal on-site disorder strength W is only affecting the overall scale of the effective Hamiltonian. Upon variation of the manifold angles for d=1 and d=2 we find that localization persists for any choice of local unitaries, and the localization length can be maximized for specific values of θi. Instead, in d=3 we identify a nonperturbative metal-insulator transition upon varying all bands' flat manifold angles.
URI
https://pr.ibs.re.kr/handle/8788114/10896
DOI
10.1103/PhysRevB.104.L180201
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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