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Title: Effective field theory for quasicrystals and phasons dynamics

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.

Authors:
 [1];  [2]
  1. Autonomous University of Madrid
  2. Columbia University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1702449
Grant/Contract Number:  
SC0011941
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 9 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Baggioli, matteo, and Landry, Michael. Effective field theory for quasicrystals and phasons dynamics. Netherlands: N. p., 2020. Web. https://doi.org/10.21468/SciPostPhys.9.5.062.
Baggioli, matteo, & Landry, Michael. Effective field theory for quasicrystals and phasons dynamics. Netherlands. https://doi.org/10.21468/SciPostPhys.9.5.062
Baggioli, matteo, and Landry, Michael. Wed . "Effective field theory for quasicrystals and phasons dynamics". Netherlands. https://doi.org/10.21468/SciPostPhys.9.5.062.
@article{osti_1702449,
title = {Effective field theory for quasicrystals and phasons dynamics},
author = {Baggioli, matteo and Landry, Michael},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.9.5.062},
journal = {SciPost Physics Proceedings},
number = 5,
volume = 9,
place = {Netherlands},
year = {2020},
month = {11}
}

Journal Article:
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https://doi.org/10.21468/SciPostPhys.9.5.062

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