Kaleidoscopes of Hofstadter butterflies and Aharonov-Bohm caging from 2^{n}-root topology in decorated square lattices

Square-root topology describes models whose topological properties can be revealed upon squaring the Hamiltonian, which produces their respective parent topological insulators. This concept has recently been generalized to 2^{n}-root topology, characterizing models where n squaring operations must b...

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Bibliographic Details
Main Authors: A. M. Marques, J. Mögerle, G. Pelegrí, S. Flannigan, R. G. Dias, A. J. Daley
Format: Article
Language:English
Published: American Physical Society 2023-05-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.023110