Work

Pure discrete spectrum and regular model sets on some non-unimodular substitution tilings

Year: 2022

Type: article

Abstract: Substitution tilings with pure discrete spectrum are characterized as regular model sets whose cut-and-project scheme has an internal space that is a product of a Euclidean space and a profinite group. Assumptions made here are that the expansion map of the substitution is diagonalizable and its eigenvalues are all algebraically conjugate with the same multiplicity. A difference from the result of Lee et al. [Acta Cryst. (2020), A76, 600-610] is that unimodularity is no longer assumed in this paper.

Source: Acta Crystallographica Section A Foundations and Advances

DOI: 10.1107/s2053273322006714

Author: Jeong-Yup Lee

Institution: Catholic Kwandong University

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,100

Funders: National Research Foundation, National Research Foundation of Korea