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

A. Jagannathan
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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.

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A. Jagannathan. 1999-09-07. Self-similarity under inflation and level statistics: a study in two dimensions. https://doi.org/10.1103/physrevb.61.r834

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