Topology in the Sierpiński-Hofstadter problem

M Brzezińska, AM Cook, T Neupert - Physical Review B, 2018 - APS
Using the Sierpiński carpet and gasket, we investigate whether fractal lattices embedded in
two-dimensional space can support topological phases when subjected to a homogeneous …

Electronic fractal patterns in building Sierpinski-triangle molecular systems

LL Lage, A Latgé - Physical Chemistry Chemical Physics, 2022 - pubs.rsc.org
The Sierpinski triangle (ST) is a fractal mathematical structure that has been used to explore
the emergence of flat bands in lattices of different geometries and dimensions in condensed …

A fractal geometry immersed in a hierarchical magnetic flux distribution

B Pal - arXiv preprint arXiv:2406.12972, 2024 - arxiv.org
Fractal geometry presents us with a self-similarity in their pattern at various length scales
that is prevalent in our natural world. We present theoretical model of a Sierpinski gasket …

Absolutely continuous energy bands in the electronic spectrum of quasiperiodic ladder networks

B Pal, A Chakrabarti - Physica E: Low-dimensional Systems and …, 2014 - Elsevier
The energy spectra of quasi-one-dimensional quasiperiodic ladder networks are analyzed
within a tight binding description. In particular, we show that if a selected set of sites in each …

[HTML][HTML] Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer

A Nandy, B Pal, A Chakrabarti - Physics Letters A, 2014 - Elsevier
A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and
magneto-transport when each 'arm'of the gasket is replaced by a diamond shaped Aharonov …

[HTML][HTML] Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

A Mukherjee, A Nandy - Physics Letters A, 2019 - Elsevier
Double-stranded quasiperiodic copper mean arrangement has been studied in respect of its
electronic property and thermoelectric signature. The two-arm network is demonstrated by a …

[PDF][PDF] Electronic Properties of Standard and Fractal Nanoscopic Systems

LL Lage - portal.if.uff.br
In this work we study the electronic properties of quasi-unidimensional carbon-based
systems. Through the Tight-Binding method and the formalism of Green's functions applied …

Controlled delocalization of electronic states in a multi-strand quasiperiodic lattice

A Mukherjee, A Nandy, A Chakrabarti - The European Physical Journal B, 2017 - Springer
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 by a tight …