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 …
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 …
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 …
Chemistry winning topic, by presenting an up-to-date and detailed introduction to the many …
Fractality in nonequilibrium steady states of quasiperiodic systems
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 …
particular, we focus on the Aubry-André-Harper model at its metal-insulator transition and …
Dephasing-enhanced performance in quasiperiodic thermal machines
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 …
heat management at the nanoscale. One promising strategy to obtain the desired transport …
Nonmonotonic crossover and scaling behavior in a disordered one-dimensional quasicrystal
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 …
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
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 …
in one dimension. While in an infinite system all states are localized by disorder, however …
Localization of interacting Fermi gases in quasiperiodic potentials
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 …
component Fermi gas in the presence of a quasiperiodic potential resulting from the …
Optical response of the tightbinding model on the Fibonacci chain
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 …
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 …
point-like arrangements of atoms, $\chi (x) $, related to the distribution of prime numbers by …