The Fibonacci quasicrystal: Case study of hidden dimensions and multifractality

A Jagannathan - Reviews of Modern Physics, 2021 - APS
The distinctive electronic properties of quasicrystals stem from their long-range structural
order, with invariance under rotations and under discrete scale change, but without …

Conventional superconductivity in quasicrystals

RN Araújo, EC Andrade - Physical Review B, 2019 - APS
Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg
quasicrystal, we study the low-temperature behavior of electrons moving in the …

[BOOK][B] Quasicrystals: fundamentals and applications

E Maciá-Barber - 2020 - books.google.com
This book provides an interdisciplinary guide to quasicrystals, the 2011 Nobel Prize in
Chemistry winning topic, by presenting an up-to-date and detailed introduction to the many …

Fractality in nonequilibrium steady states of quasiperiodic systems

VK Varma, C de Mulatier, M Žnidarič - Physical Review E, 2017 - APS
We investigate the nonequilibrium response of quasiperiodic systems to boundary driving. In
particular, we focus on the Aubry-André-Harper model at its metal-insulator transition and …

Dephasing-enhanced performance in quasiperiodic thermal machines

C Chiaracane, A Purkayastha, MT Mitchison, J Goold - Physical Review B, 2022 - APS
Understanding and controlling quantum transport in low-dimensional systems is pivotal for
heat management at the nanoscale. One promising strategy to obtain the desired transport …

Nonmonotonic crossover and scaling behavior in a disordered one-dimensional quasicrystal

A Jagannathan, P Jeena, M Tarzia - Physical Review B, 2019 - APS
We consider a noninteracting disordered 1D quasicrystal in the weak-disorder regime. We
show that the critical states of the pure model approach strong localization in strikingly …

Re-entrance and localization phenomena in disordered Fibonacci chains: Disorder induced crossover from critical states to Anderson localized states

A Jagannathan, M Tarzia - The European Physical Journal B, 2020 - Springer
We consider quasiperiodic tight-binding models and the effects of disorder on wavefunctions
in one dimension. While in an infinite system all states are localized by disorder, however …

Localization of interacting Fermi gases in quasiperiodic potentials

S Pilati, VK Varma - Physical Review A, 2017 - APS
We investigate the zero-temperature metal-insulator transition in a one-dimensional two-
component Fermi gas in the presence of a quasiperiodic potential resulting from the …

Optical response of the tightbinding model on the Fibonacci chain

H Iijima, Y Murakami, A Koga - Journal of the Physical Society of …, 2022 - journals.jps.jp
We theoretically study the optical conductivity of the tightbinding model which has two types
of the hop** integrals arranged in the Fibonacci sequence. Due to the lack of the …

Quasicrystal Scattering and the Riemann Zeta Function

M Shaughnessy - arxiv preprint arxiv:2410.03673, 2024 - arxiv.org
I carry out numerical scattering calculations against a family of finite-length one-dimensional
point-like arrangements of atoms, $\chi (x) $, related to the distribution of prime numbers by …