35 citations · 156 across the 15 of their papers we have counts for
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cond-mat.dis-nn2020★ 5 cited
Ring-localized states, radial aperiodicity and quantum butterflies on a Cayley tree
Amrita Mukherjee, Atanu Nandy, Arunava Chakrabarti
We present an analytical method, based on a real space decimation scheme, to extract the exact eigenvalues of a macroscopically large set of pinned localized excitations in a Cayle…
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…
cond-mat.mes-hall2020★ 1 cited
Controlled imprisonment of wave packet and flat bands in a fractal geometry
Atanu Nandy
The explicit construction of non-dispersive flat band modes and the tunability of has been reported for a hierarchical 3-simplex fractal geometry. A single band tight binding Hamil…