Self-organized critical (SOC) models are used to describe the 1/f-spectra of rather different physical situations like snow avalanches, noise of electric currents or luminosities of stars. The prototype of the SOC-models is the sandpile model of Bak, Tang and Wiesenfeld (Phys. Rev. Lett. 59, (1987) 381). We implement this model on the 8-fold AmmannBeenker tiling where the model can become eithe...

An outline is given of the spin space-group classi cation of quasiperiodic arrangements of spins. It is based on an extension to multicomponent quasiperiodic elds of the Fourierspace approach to crystal symmetry. The classi cation of decagonal spin space groups in two dimensions is given as an example. A group theoretic argument is given which is used to determine extinctions in a neutron di ra...

This paper reports the numerical and experimental study of strain sensing effect bidimensional quasiperiodic structures made with dielectric cylinders. Structures around 100 cylinders arranged following a Penrose disposition were simulated, built measured, in different states deformation. The selected structure contains symmetric decagonal ring resonator that shows two its photonic band gap. fr...

Solides Heisenberg Antiferromagnetic model on 2D quasiperiodic tilings Thèse presentée pour obtenir le grade de

Abstract Local topological markers are effective tools for determining the properties of both homogeneous and inhomogeneous systems. The Chern marker is an established that has previously been shown to effectively reveal 2D In previous work a was developed can be applied 1D time-dependent systems which used explore their properties, like charge pumping under presence disorder. this paper, we show...

The discrete Schrödinger equation with a quasiperiodic dichotomous potential specified by the Fibonacci sequence is known to have a singular continuous eigenvalue spectrum with all states being critically localized. This equation can be transformed into a quasiperiodic skew product dynamical system. In this iterative mapping which is entirely equivalent to the Schrödinger problem, critically lo...

Amethod is presented for calculating the frequencies of non-retarded surface plasmons propagating on a semi-inifinite medium with a surface profile described by a one-dimension quasiperiodic function. The profiles are generated, in analogy with previous work on quasiperiodic superlattices, by repeating unitary cells constructed according to an inflation rule. Dispersion relations are obtained f...

We present two sets of rules for constructing quasiperiodic tilings that suggest a simpler structural model of quasicrystals and a more plausible explanation of why quasicrystals form. First, we show that quasiperiodic tilings can be constructed from a single prototile with matching rules which constrain the way that neighbors can overlap. Second, we show that maximizing the density of a certai...

A. K. Shukla, R. S. Dhaka, S. W. D’Souza, Sanjay Singh, D. Wu, T. A. Lograsso, M. Krajč́ı, J. Hafner, K. Horn, and S. R. Barman UGC-DAE Consortium for Scientific Research, Khandwa Road, Indore, 452001, India. Ames Laboratory U.S. DOE, Iowa State University, Ames, Iowa 50011-3020, USA. Institute of Physics, Slovak Academy of Sciences, SK-84511 Bratislava, Slovak Republic Center for Computational ...