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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/2008.05339v1 (pdf)
Date submitted: 2020-08-20 20:53
Submitted by: Baggioli, matteo
Submitted to: SciPost Physics
Discipline: Physics
Subject area: 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.

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Submission 2008.05339v1 on 20 August 2020

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