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Effective Field Theory for Quasicrystals and Phasons Dynamics

by Matteo Baggioli, Michael Landry

Submission summary

As Contributors: matteo Baggioli
Arxiv Link: https://arxiv.org/abs/2008.05339v2 (pdf)
Date submitted: 2020-10-16 11:10
Submitted by: Baggioli, matteo
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
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.

Current status:
Editor-in-charge assigned


Author comments upon resubmission

The reply and the list of changes are in attachment to the authors reply to the referees.

List of changes

The reply and the list of changes are in attachment to the authors reply to the referees.


Reports on this Submission

Anonymous Report 2 on 2020-10-16 Invited Report

Report

My remarks have been fully addressed. I therefore recommend this paper for publication in SciPost.

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Anonymous Report 1 on 2020-10-16 Invited Report

Report

The authors have addressed the questions raised in the previous report. Moreover, given the originality and the clear presentation, I recommend this manuscript for publication in SciPost.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
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