35 citations · 156 across the 15 of their papers we have counts for
17 papers
Localization property of a periodic chain of atoms with aperiodically coupled quantum dots
Atanu Nandy
The spectral landscape and the transport property of a translationally invariant network with side-coupled quantum dots are demonstrated within the tight-binding framework. For per…
Tunable caging of excitation in decorated Lieb-ladder geometry with long range connectivity
Atanu Nandy
Controlled Aharonov-Bohm caging of wave train is reported in a quasi-one dimensional version of Lieb geometry with next nearest neighbor hopping integral within the tight-binding f…
Tailoring flat bands and topological phases in a multi-strand Creutz network
Amrita Mukherjee, Atanu Nandy, Shreekantha Sil +1
We prove that, a suitable correlation between the system parameters can trigger topological phase transition and flat bands in a multi strand Creutz ladder network, when a staggere…
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…
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…
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…