35 citations · 156 across the 15 of their papers we have counts for
11 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…
Analytical study of quasi-one dimensional flat band networks and slow light analogue
Atanu Nandy
Exact method of analytical solution of flat, non-dispersive eigenstates in a class of quasi-one dimensional structures is reported within the tight-binding framework. The states ar…
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…
Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network
Amrita Mukherjee, Atanu Nandy
Double stranded quasiperiodic copper mean arrangement has been studied in respect of their electronic property and thermoelectric signature. The two-arm network is demonstrated by…
Controlled trapping of single particle states on a periodic substrate by deterministic stubbing
Amrita Mukherjee, Atanu Nandy, Arunava Chakrabarti
A periodic array of atomic sites, described within a tight binding formalism is shown to be capable of trapping electronic states as it grows in size and gets stubbed by an atom or…
Engineering electronic states of periodic and quasiperiodic chains by buckling
Amrita Mukherjee, Atanu Nandy, Arunava Chakrabarti
The spectrum of spinless, non-interacting electrons on a linear chain that is buckled in a non- uniform manner giving it a flavor of a topologically disordered lattice, is investig…
Controlled delocalization of electronic states in a multi-strand quasiperiodic lattice
Amrita Mukherjee, Atanu Nandy, Arunava Chakrabarti
Finite strips, composed of a periodic stacking of infinite quasiperiodic Fibonacci chains, have been investigated in terms of their electronic properties. The system is described b…
Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi-one dimensionality
Atanu Nandy, Biplab Pal, Arunava Chakrabarti
It is shown that, an entire class of off-diagonally disordered linear lattices composed of two basic building blocks and described within a tight binding model can be tailored to g…
Engineering slow light and mode crossover in a fractal-kagome waveguide network
Atanu Nandy, Arunava Chakrabarti
We present an analytically exact scheme of unraveling a multitude of flat, dispersionless photonic bands in a kagome waveguide strip where each elementary plaquette hosts a determi…
Engineering flat electronic bands in quasiperiodic and fractal loop geometries
Atanu Nandy, Arunava Chakrabarti
Exact construction of one electron eigenstates with flat, non-dispersive bands, and localized over clusters of various sizes is reported for a class of quasi-one dimensional looped…
Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks
Atanu Nandy, Biplab Pal, Arunava Chakrabarti
We demonstrate, by explicit construction, that a single band tight binding Hamiltonian defined on a class of deterministic fractals of the b = 3N Sierpinski type can give rise to a…