Homogeneous holographic viscoelastic models and quasicrystals

We show that the field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order (e.g., incommensurate charge density waves). This interpretation suggests that the longi...

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Main Author: Matteo Baggioli
Format: Article
Language:English
Published: American Physical Society 2020-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.022022
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author Matteo Baggioli
author_facet Matteo Baggioli
author_sort Matteo Baggioli
collection DOAJ
description We show that the field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order (e.g., incommensurate charge density waves). This interpretation suggests that the longitudinal diffusive mode, observed in the spectrum of excitations of these systems, is the diffusive Goldstone boson typical of quasicrystals—the phason. Moreover, following this idea, and using the effective field theory formalism for Goldstone modes in dissipative systems, we are able to derive the universal phase relaxation found in these holographic models in the presence of a small source of explicit breaking (pseudospontaneous regime).
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spelling doaj.art-70897c1928db4f2f810460a5a192d88d2024-04-12T16:53:19ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202202210.1103/PhysRevResearch.2.022022Homogeneous holographic viscoelastic models and quasicrystalsMatteo BaggioliWe show that the field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order (e.g., incommensurate charge density waves). This interpretation suggests that the longitudinal diffusive mode, observed in the spectrum of excitations of these systems, is the diffusive Goldstone boson typical of quasicrystals—the phason. Moreover, following this idea, and using the effective field theory formalism for Goldstone modes in dissipative systems, we are able to derive the universal phase relaxation found in these holographic models in the presence of a small source of explicit breaking (pseudospontaneous regime).http://doi.org/10.1103/PhysRevResearch.2.022022
spellingShingle Matteo Baggioli
Homogeneous holographic viscoelastic models and quasicrystals
Physical Review Research
title Homogeneous holographic viscoelastic models and quasicrystals
title_full Homogeneous holographic viscoelastic models and quasicrystals
title_fullStr Homogeneous holographic viscoelastic models and quasicrystals
title_full_unstemmed Homogeneous holographic viscoelastic models and quasicrystals
title_short Homogeneous holographic viscoelastic models and quasicrystals
title_sort homogeneous holographic viscoelastic models and quasicrystals
url http://doi.org/10.1103/PhysRevResearch.2.022022
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