Periodic almost-Schrödinger equation for quasicrystals
Igor V. Blinov
TL;DR
This paper introduces a new method to calculate electron behavior in quasicrystals using a modified Schrödinger equation in higher-dimensional spaces.
Contribution
The novel approach enables exact electronic structure calculations for quasicrystals without relying on non-exact methods.
Findings
A modified Schrödinger equation is used in higher-dimensional spaces to model quasiperiodic potentials.
The method provides exact results for electronic structures of quasicrystals.
This approach avoids expensive and non-exact computational techniques.
Abstract
A new method for finding electronic structure and wavefunctions of electrons in quasiperiodic potential is introduced. To obtain results it uses slightly modified Schrödinger equation in spaces of dimensionality higher than physical space. It enables to get exact results for quasicrystals without expensive non-exact calculations.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Topological Materials and Phenomena · Advanced Chemical Physics Studies