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Effective Field Theory for Quasicrystals and Phasons Dynamics
by Matteo Baggioli, Michael Landry
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Submission summary
| Authors (as registered SciPost users): | Matteo Baggioli |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2008.05339v2 (pdf) |
| Date accepted: | 2020-10-30 |
| Date submitted: | 2020-10-16 11:10 |
| Submitted by: | Baggioli, Matteo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We build an effective field theory (EFT) for quasicrystals -- aperiodic incommensurate lattice structures -- at finite temperature, entirely based on symmetry arguments and a well-define action principle. By means of Schwinger-Keldysh techniques, we derive the full dissipative dynamics of the system and we recover the experimentally observed diffusion-to-propagation crossover of the phason mode. From a symmetry point of view, the diffusive nature of the phason at long wavelengths is due to the fact that the internal translations, or phason shifts, are symmetries of the system with no associated Noether currents. The latter feature is compatible with the EFT description only because of the presence of dissipation (finite temperature) and the lack of periodic order. Finally, we comment on the similarities with certain homogeneous holographic models and we formally derive the universal relation between the pinning frequency of the phonons and the damping and diffusion constant of the phason.
Author comments upon resubmission
List of changes
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Published as SciPost Phys. 9, 062 (2020)
Author: Matteo Baggioli on 2020-10-16 [id 1010]
(in reply to Report 1 on 2020-10-16)We would like to thank the referee for his/her time and for the positive evaluation of our work.