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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Format: | Article |
Language: | English |
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American Physical Society
2020-04-01
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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). |
first_indexed | 2024-04-24T10:27:02Z |
format | Article |
id | doaj.art-70897c1928db4f2f810460a5a192d88d |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:27:02Z |
publishDate | 2020-04-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
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 |
work_keys_str_mv | AT matteobaggioli homogeneousholographicviscoelasticmodelsandquasicrystals |