BROWSE

Related Scientist

WULAYIMU, Maimaiti's photo.

WULAYIMU, Maimaiti
복잡계 이론물리 연구단
more info

ITEM VIEW & DOWNLOAD

Flat-band generator in two dimensions

Cited 0 time in webofscience Cited 0 time in scopus
10 Viewed 0 Downloaded
Title
Flat-band generator in two dimensions
Author(s)
Wulayimu Maimaiti; Alexei Andreanov; Sergej Flach
Publication Date
2021-04
Journal
Physical Review B, v.103, no.16
Publisher
American Physical Society
Abstract
© 2021 American Physical Society.Dispersionless bands, flat bands, provide an excellent test bed for novel physical phases due to the fine-tuned character of flat band tight-binding Hamiltonians. The accompanying macroscopic degeneracy makes any perturbation relevant, no matter how small. For short-range hoppings flat-bands support compact localized states, which allowed us to develop systematic flat-band generators in d=1 dimension in Phys. Rev. B 95, 115135 (2017)2469-995010.1103/PhysRevB.95.115135 and Phys. Rev. B 99, 125129 (2019)2469-995010.1103/PhysRevB.99.125129. Here we extend this generator approach to d=2 dimensions. The shape of a compact localized state turns into an important additional flat-band classifier. This allows us to obtain analytical solutions for classes of d=2 flat-band networks and to reclassify and reobtain known ones, such as the checkerboard, kagome, Lieb, and Tasaki lattices. Our generator can be straightforwardly generalized to three lattice dimensions as well.
URI
https://pr.ibs.re.kr/handle/8788114/9906
DOI
10.1103/PhysRevB.103.165116
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

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