Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks

A Nandy, B Pal, A Chakrabarti - Journal of Physics: Condensed …, 2015 - iopscience.iop.org
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 an …

Hofstadter quasicrystal problem and irrational quantum oscillations

K Kozlov, G Adamyan, M Kryvoruchko… - arXiv preprint arXiv …, 2023 - arxiv.org
Landau levels perturbed by a periodic potential have long been known broaden into fractals.
Motivated by recent advances in twistronics, we introduce a'Hofstadter quasicrystal'problem …

3D‐quantum interferometer using silicon microring‐embedded gold grating circuit

AE Arumona, IS Amiri, S Punthawanunt… - Microscopy …, 2020 - Wiley Online Library
Abstract A 3D (three‐dimensional) quantum interferometer consisting of a silicon microring
circuit proposed. The interferometer based on the electron spin cloud projections generated …

[HTML][HTML] Effects of heterogeneity in site–site couplings for tight-binding models on scale-invariant structures

B Yang, P Xie, Z Zhang - Physics Letters A, 2017 - Elsevier
We studied the thermodynamic behaviors of non-interacting bosons and fermions trapped
by a scale-invariant branching structure of adjustable degree of heterogeneity. The full …

Slow light hierarchy and tunable switching in fractal wave guide

A Nandy, A Chakrabarti - AIP Conference Proceedings, 2017 - pubs.aip.org
An exact analytical description of unraveling hierarchical distribution of slow optical modes
in the context of propagation of classical waves through a fractal wave guide is reported …

Flat electronic bands in fractal-kagomé network and the effect of perturbation

A Nandy, A Chakrabarti - AIP Conference Proceedings, 2016 - pubs.aip.org
We demonstrate an analytical prescription of demonstrating the flat band [FB] states in a
fractal incorporated Nagomé type networN that can give rise to a countable infinity of flat non …