Phase relaxation and pattern formation in holographic gapless charge density waves
Abstract We study the dynamics of spontaneous translation symmetry breaking in holographic models in presence of weak explicit sources. We show that, unlike conventional gapped quantum charge density wave systems, this dynamics is well characterized by the effective time dependent Ginzburg-Landau eq...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2021)292 |
| _version_ | 1818641528350834688 |
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| author | Tomas Andrade Matteo Baggioli Alexander Krikun |
| author_facet | Tomas Andrade Matteo Baggioli Alexander Krikun |
| author_sort | Tomas Andrade |
| collection | DOAJ |
| description | Abstract We study the dynamics of spontaneous translation symmetry breaking in holographic models in presence of weak explicit sources. We show that, unlike conventional gapped quantum charge density wave systems, this dynamics is well characterized by the effective time dependent Ginzburg-Landau equation, both above and below the critical temperature, which leads to a “gapless” algebraic pattern of metal-insulator phase transition. In this framework we elucidate the nature of the damped Goldstone mode (the phason), which has earlier been identified in the effective hydrodynamic theory of pinned charge density wave and observed in holographic homogeneous lattice models. We follow the motion of the quasinormal modes across the dynamical phase transition in models with either periodic inhomogeneous or helical homogeneous spatial structures, showing that the phase relaxation rate is continuous at the critical temperature. Moreover, we find that the qualitative low-energy dynamics of the broken phase is universal, insensitive to the precise pattern of translation symmetry breaking, and therefore applies to homogeneous models as well. |
| first_indexed | 2024-12-16T23:28:36Z |
| format | Article |
| id | doaj.art-d69a942ae2b440108b1c8ff141d7d4db |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T23:28:36Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d69a942ae2b440108b1c8ff141d7d4db2022-12-21T22:11:57ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021314010.1007/JHEP03(2021)292Phase relaxation and pattern formation in holographic gapless charge density wavesTomas Andrade0Matteo Baggioli1Alexander Krikun2Departament de Física Quàntica i Astrofísica, Institut de Ciències del Cosmos, Universitat de BarcelonaInstituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de MadridNordita, KTH Royal Institute of Technology and Stockholm UniversityAbstract We study the dynamics of spontaneous translation symmetry breaking in holographic models in presence of weak explicit sources. We show that, unlike conventional gapped quantum charge density wave systems, this dynamics is well characterized by the effective time dependent Ginzburg-Landau equation, both above and below the critical temperature, which leads to a “gapless” algebraic pattern of metal-insulator phase transition. In this framework we elucidate the nature of the damped Goldstone mode (the phason), which has earlier been identified in the effective hydrodynamic theory of pinned charge density wave and observed in holographic homogeneous lattice models. We follow the motion of the quasinormal modes across the dynamical phase transition in models with either periodic inhomogeneous or helical homogeneous spatial structures, showing that the phase relaxation rate is continuous at the critical temperature. Moreover, we find that the qualitative low-energy dynamics of the broken phase is universal, insensitive to the precise pattern of translation symmetry breaking, and therefore applies to homogeneous models as well.https://doi.org/10.1007/JHEP03(2021)292Holography and condensed matter physics (AdS/CMT)Spontaneous Symmetry BreakingSpace-Time Symmetries |
| spellingShingle | Tomas Andrade Matteo Baggioli Alexander Krikun Phase relaxation and pattern formation in holographic gapless charge density waves Journal of High Energy Physics Holography and condensed matter physics (AdS/CMT) Spontaneous Symmetry Breaking Space-Time Symmetries |
| title | Phase relaxation and pattern formation in holographic gapless charge density waves |
| title_full | Phase relaxation and pattern formation in holographic gapless charge density waves |
| title_fullStr | Phase relaxation and pattern formation in holographic gapless charge density waves |
| title_full_unstemmed | Phase relaxation and pattern formation in holographic gapless charge density waves |
| title_short | Phase relaxation and pattern formation in holographic gapless charge density waves |
| title_sort | phase relaxation and pattern formation in holographic gapless charge density waves |
| topic | Holography and condensed matter physics (AdS/CMT) Spontaneous Symmetry Breaking Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP03(2021)292 |
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