SRRA.pdf (10.44 MB)
Download file

Density distribution in soft matter crystals and quasicrystals

Download (10.44 MB)
journal contribution
posted on 18.05.2021, 10:49 by Priya Subramanian, Dan Ratliff, Alastair Rucklidge, Andrew ArcherAndrew Archer
The density distribution in solids is often represented as a sum of Gaussian peaks (or similar functions) centred on lattice sites or via a Fourier sum. Here, we argue that representing instead the logarithm of the density distribution via a Fourier sum is better. We show that truncating such a representation after only a few terms can be highly accurate for soft matter crystals. For quasicrystals, this sum does not truncate so easily, nonetheless, representing the density profile in this way is still of great use, enabling us to calculate the phase diagram for a 3-dimensional quasicrystal forming system using an accurate non-local density functional theory.

Funding

Hooke Research Fellowship

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...

Leverhulme Trust (RF-2018-449/9)

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Letters

Volume

126

Issue

21

Publisher

American Physical Society

Version

AM (Accepted Manuscript)

Rights holder

© American Physical Society

Publisher 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.126.218003.

Acceptance date

20/04/2021

Publication date

2021-05-26

Copyright date

2021

ISSN

0031-9007

eISSN

1079-7114

Language

en

Depositor

Prof Andrew Archer. Deposit date: 17 May 2021

Article number

218003

Usage metrics

Categories

Exports