94 citations · 1k across the 56 of their papers we have counts for
3 papers · 1 filter
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…
Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
Sk Sajid, Arunava Chakrabarti
We investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-André-Harper profile. The varying…
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…