Self-similarity under inflation and level statistics: a study in two dimensions

Abstract

Energy level spacing statistics are discussed for a two dimensional quasiperiodic tiling. The property of self-similarity under inflation is used to write a recursion relation for the level spacing distributions defined on square approximants to the perfect quasiperiodic structure. New distribution functions are defined and determined by a combination of numerical and analytical calculations.

Latex, 13 pages including 6 EPS figures, paper submitted to PRB

References in corpus (1)

• Level-Spacing Distributions of Planar Quasiperiodic Tight-Binding Models

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• Quantum Fluctuations and Excitations in Antiferromagnetic Quasicrystals
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• Energy levels and their correlations in quasicrystals
• Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians
• Less singular quasicrystals: life in low codimensions
• Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor