Universal d=1 flat band generator from compact localized states

Cited 0 time in webofscience Cited 0 time in scopus
26 Viewed 1 Downloaded
Title
Universal d=1 flat band generator from compact localized states
Author(s)
Wulayimu Maimaiti; Sergej Flach; Alexei Andreanov
Publication Date
2019-03
Journal
PHYSICAL REVIEW B, v.99, no.12, pp.125129 -
Publisher
AMER PHYSICAL SOC
Abstract
The band structure of some translationally invariant lattice Hamiltonians contains strictly dispersionless flat bands (FB). These are induced by destructive interference and typically host compact localized eigenstates (CLS) which occupy a finite number U of unit cells. FBs are important due to macroscopic degeneracy and consequently due to their high sensitivity and strong response to different types of weak perturbations. We use a recently introduced classification of FB networks based on CLS properties, and extend the FB Hamiltonian generator introduced in Phys. Rev. B 95, 115135 (2017)2469-995010.1103/PhysRevB.95.115135 to an arbitrary number ν of bands in the band structure, and arbitrary size U of a CLS. The FB Hamiltonian is a solution to equations that we identify with an inverse eigenvalue problem. These can be solved only numerically in general. By imposing additional constraints, e.g., a chiral symmetry, we are able to find analytical solutions to the inverse eigenvalue problem. © 2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6013
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
PhysRevB.99.125129.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse