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Influence of chemical disorder, magnetic field and phason flips on the localization of electronic states in a regular icosahedral quasicrystal

Yu. Kh. Vekilov, É. I. Isaev, S. F. Arslanov

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Abstract

The influence of substitutional chemical disorder, magnetic field and phasons, on the electronic spectrum and wave functions of icosahedral quasicrystals is investigated by means of tight-binding approximation and level statistic method. The results show that the localization of electronic states in an ideal quasicrystal exists due to their coherent interference at the Fermi level which is caused by the symmetry and aperiodic long-range order.

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What this paper is about

The influence of substitutional chemical disorder, magnetic field and phasons, on the electronic spectrum and wave functions of icosahedral quasicrystals is investigated by means of tight-binding approximation and level statistic method. The results show that the localization of electronic states in an ideal quasicrystal exists due to their coherent interference at the Fermi level which is caused by the symmetry and aperiodic long-range order.

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Available abstract

The influence of substitutional chemical disorder, magnetic field and phasons, on the electronic spectrum and wave functions of icosahedral quasicrystals is investigated by means of tight-binding approximation and level statistic method. The results show that the localization of electronic states in an ideal quasicrystal exists due to their coherent interference at the Fermi level which is caused by the symmetry and aperiodic long-range order.

Key concepts: Quasicrystal, Phason, Icosahedral symmetry, Aperiodic graph, Condensed matter physics, Penrose tiling, Materials science, Electronic structure

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