17 citations · 61 across the 10 of their papers we have counts for
12 papers
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…
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…
Spin-selective Aharonov-Casher caging in a topological quantum network
Amrita Mukherjee, Rudolf A. Romer, Arunava Chakrabarti
A periodic network of connected rhombii, mimicking a spintronic device, is shown to exhibit an intriguing spin selective extreme localization, when submerged in a uniform out of pl…
Flux modulated flat band engineering in square-kagome ladder network
Atanu Nandy, Amrita Mukherjee
The origin of non-dispersive flat band modes for a quasi-one dimensional square-kagome ladder network is explored analytically by virtue of the real space renormalization group (RS…