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Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals?
journal contribution
posted on 2019-08-29, 08:58 authored by Daniel Ratliff, Andrew ArcherAndrew Archer, P Subramanian, AM RucklidgeFor soft matter to form quasicrystals an important ingredient is to have two
characteristic lengthscales in the interparticle interactions. To be more
precise, for stable quasicrystals, periodic modulations of the local density
distribution with two particular wavenumbers should be favored, and the ratio
of these wavenumbers should be close to certain special values. So, for simple
models, the answer to the title question is that only these two ingredients are
needed. However, for more realistic models, where in principle all wavenumbers
can be involved, other wavenumbers are also important, specifically those of
the second and higher reciprocal lattice vectors. We identify features in the
particle pair interaction potentials which can suppress or encourage density
modes with wavenumbers associated with one of the regular crystalline orderings
that compete with quasicrystals, enabling either the enhancement or suppression
of quasicrystals in a generic class of systems.
Funding
L’Oréal UK and Ireland Fellowship for Women in Science
Leverhulme Trust (RF-2018-449/9
Quasicrystals: how and why do they form?
Engineering and Physical Sciences Research Council
Find out more...Quasicrystals: how and why do they form?
Engineering and Physical Sciences Research Council
Find out more...History
School
- Science
Department
- Mathematical Sciences
Published in
Physical Review LettersVolume
123Issue
14Publisher
American Physical SocietyVersion
- AM (Accepted Manuscript)
Rights holder
© American Physical SocietyPublisher statement
This paper was accepted for publication in the journal Physical Review Letters and the definitive published version is available at https://doi.org/10.1103/PhysRevLett.123.148004.Acceptance date
2019-08-28Publication date
2019-10-01Copyright date
2019ISSN
0031-9007eISSN
1079-7114Language
- en