Quasiperiodic tilings under magnetic field

TL;DR

This paper investigates the electronic and superconducting properties of a two-dimensional quasiperiodic tiling under magnetic fields, revealing effects on energy spectra, quantum dynamics, and critical temperature variations.

Contribution

It introduces a detailed analysis of the isometric generalized Rauzy tiling's electronic behavior and superconducting properties in magnetic fields, combining spectral, dynamical, and superconducting studies.

Findings

Magnetic field influences energy spectrum and wave packet diffusion.

Quantum dynamics show altered spectral exponents under magnetic fields.

Critical temperature varies with magnetic field in quasiperiodic superconducting networks.

Abstract

We study the electronic properties of a two-dimensional quasiperiodic tiling, the isometric generalized Rauzy tiling, embedded in a magnetic field. Its energy spectrum is computed in a tight-binding approach by means of the recursion method. Then, we study the quantum dynamics of wave packets and discuss the influence of the magnetic field on the diffusion and spectral exponents. Finally, we consider a quasiperiodic superconducting wire network with the same geometry and we determine the critical temperature as a function of the magnetic field.