We introduce a gravitational lattice theory defined in an black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity symmetry observed in, e.g., confined Coulomb crystals. The transition from the high-symmetry linear phase to the broken-symmetry doubly degenerate zigzag phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents. We explore the nonequilibrium phase transition dynamics leading to kink formation. The kink density obeys universal scaling laws in the limit of slow quenches, described by the Kibble-Zurek mechanism (KZM), and at fast quenches, characterized by a universal breakdown of the KZM.
{ "_oai": { "updated": "2023-12-20T12:52:56Z", "id": "oai:repo.scoap3.org:79206", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Chuan-Yin Xia", "affiliations": [ { "country": "China", "value": "Center for Gravitation and Cosmology, College of Physical and Technology, Yangzhou University, Yangzhou 225009, China" } ], "surname": "Xia", "given_names": "Chuan-Yin", "full_name": "Xia, Chuan-Yin" }, { "raw_name": "Hua-Bi Zeng", "affiliations": [ { "country": "China", "value": "Center for Gravitation and Cosmology, College of Physical and Technology, Yangzhou University, Yangzhou 225009, China" } ], "surname": "Zeng", "given_names": "Hua-Bi", "full_name": "Zeng, Hua-Bi" }, { "raw_name": "Chiang-Mei Chen", "affiliations": [ { "country": "Taiwan", "value": "Department of Physics, Center for High Energy and High Field Physics (CHiP), National Central University, Chungli 32001, Taiwan" } ], "surname": "Chen", "given_names": "Chiang-Mei", "full_name": "Chen, Chiang-Mei" }, { "raw_name": "Adolfo del Campo", "affiliations": [ { "country": "Luxembourg", "value": "Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg" }, { "country": "Spain", "value": "Donostia International Physics Center, E-20018 San Sebasti\u00e1n, Spain" } ], "surname": "del Campo", "given_names": "Adolfo", "full_name": "del Campo, Adolfo" } ], "titles": [ { "source": "APS", "title": "Structural phase transition and its critical dynamics from holography" } ], "dois": [ { "value": "10.1103/PhysRevD.108.026017" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "2", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-19T12:16:59.679749", "source": "APS", "method": "APS", "submission_number": "79d53aca9e6811eeb40ace2f1f1e2fbc" }, "page_nr": [ 10 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "79206", "record_creation_date": "2023-07-25T14:30:03.150875", "_files": [ { "checksum": "md5:a390c1cc6f1e6c9eda6967002104e787", "filetype": "pdf", "bucket": "a4a579a7-7cec-4b12-b4c5-a9fd49b4274f", "version_id": "fadee3ba-5607-4b2f-be68-c85e8a45cef9", "key": "10.1103/PhysRevD.108.026017.pdf", "size": 809520 }, { "checksum": "md5:ee496ef1f2356b9137abcc32ca885b4f", "filetype": "xml", "bucket": "a4a579a7-7cec-4b12-b4c5-a9fd49b4274f", "version_id": "975f2382-4e64-494a-ab34-b30f99da2738", "key": "10.1103/PhysRevD.108.026017.xml", "size": 166177 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.stat-mech", "cond-mat.str-el", "quant-ph" ], "value": "2302.11597" } ], "abstracts": [ { "source": "APS", "value": "We introduce a gravitational lattice theory defined in an <math><mrow><msub><mrow><mi>AdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity symmetry observed in, e.g., confined Coulomb crystals. The transition from the high-symmetry linear phase to the broken-symmetry doubly degenerate zigzag phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents. We explore the nonequilibrium phase transition dynamics leading to kink formation. The kink density obeys universal scaling laws in the limit of slow quenches, described by the Kibble-Zurek mechanism (KZM), and at fast quenches, characterized by a universal breakdown of the KZM." } ], "imprints": [ { "date": "2023-07-25", "publisher": "APS" } ] }