Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-André model with an unbounded quasiperiodic potential

YC Zhang, YY Zhang - Physical Review B, 2022 - APS
In this work, we investigate the Anderson localization problems of the generalized Aubry-
André model (Ganeshan-Pixley-Das Sarma's model) with an unbounded quasiperiodic …

DNA-based nanobiostructured devices: The role of quasiperiodicity and correlation effects

EL Albuquerque, UL Fulco, VN Freire, EWS Caetano… - Physics Reports, 2014 - Elsevier
The purpose of this review is to present a comprehensive and up-to-date account of the
main physical properties of DNA-based nanobiostructured devices, stressing the role played …

Localization transitions and mobility edges in coupled Aubry-André chains

M Rossignolo, L Dell'Anna - Physical Review B, 2019 - APS
We study the localization transitions for coupled one-dimensional lattices with quasiperiodic
potential. In addition to the localized and extended phases, there is an intermediate mixed …

Anomalous transport through algebraically localized states in one dimension

M Saha, SK Maiti, A Purkayastha - Physical Review B, 2019 - APS
Localization in one-dimensional disordered or quasiperiodic noninteracting systems in the
presence of power-law hopping is very different from localization in short-ranged systems …

Tailoring flat bands and topological phases in a multistrand Creutz network

A Mukherjee, A Nandy, S Sil, A Chakrabarti - Physical Review B, 2022 - APS
We prove that a suitable correlation between system parameters can trigger topological
phase transitions and flat bands in a multistrand Creutz ladder network when a staggered …

Optical properties and magnetic flux-induced electronic band tuning of a T-graphene sheet and nanoribbon

A Bandyopadhyay, A Nandy, A Chakrabarti… - Physical Chemistry …, 2017 - pubs.rsc.org
Tetragonal graphene (T-graphene) is a theoretically proposed dynamically stable, metallic
allotrope of graphene. In this theoretical investigation, a tight binding (TB) model is used to …

[HTML][HTML] Interplay between hopping dimerization and quasi-periodicity on flux-driven circular current in an incommensurate Su–Schrieffer–Heeger ring

S Roy, S Ganguly, SK Maiti - Scientific Reports, 2023 - nature.com
We report for the first time the phenomenon of flux-driven circular current in an isolated Su–
Schrieffer–Heeger (SSH) quantum ring in presence of cosine modulation in the form of the …

[HTML][HTML] Engineering flat electronic bands in quasiperiodic and fractal loop geometries

A Nandy, A Chakrabarti - Physics Letters A, 2015 - Elsevier
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 …

Engineering slow light and mode crossover in a fractal-kagome waveguide network

A Nandy, A Chakrabarti - Physical Review A, 2016 - APS
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 …

Tight-binding quantum network with cosine modulations: Electronic localization and delocalization

S Roy, SK Maiti - The European Physical Journal B, 2019 - Springer
Localization phenomena of non-interacting electrons are critically investigated in a quantum
network where site energies and/or hopping integrals are correlated in the form of Aubry …