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cond-mat.mes-hall2022
Flat bands, edge states and possible topological phases in a branching fractal
Sougata Biswas, Amrita Mukherjee, Arunava Chakrabarti
We address the problem of analytically extracting a countable infinity of flat, non-dispersive bands in a periodic array of cells that comprise branching Vicsek geometries of highe…
cond-mat.mes-hall2020★ 16 cited
Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
Amrita Mukherjee, Atanu Nandy, Shreekantha Sil +1
A tight binding network of diamond shaped unit cells trapping a staggered magnetic flux distribution is shown to exhibit a topological phase transition under a controlled variation…