We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana fermions. In addition, we find numerically that the distribution of the ground state energy is Gaussian.
{ "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "material": "Article", "holder": "The Author(s)", "year": "2018" } ], "control_number": "44072", "_oai": { "updated": "2018-12-12T16:42:06Z", "id": "oai:repo.scoap3.org:44072", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, U.S.A.", "organization": "Institute for Advanced Study" }, { "country": "USA", "value": "Department of Physics, Stanford University, Stanford, CA, U.S.A.", "organization": "Stanford University" }, { "country": "USA", "value": "Google LLC, Menlo Park, U.S.A.", "organization": "Google LLC" } ], "surname": "Gur-Ari", "email": "guyg@ias.edu", "full_name": "Gur-Ari, Guy", "given_names": "Guy" }, { "affiliations": [ { "country": "USA", "value": "School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, U.S.A.", "organization": "Institute for Advanced Study" }, { "country": "USA", "value": "Department of Physics, Princeton University, Princeton, NJ, U.S.A.", "organization": "Princeton University" } ], "surname": "Mahajan", "email": "raghu_m@princeton.edu", "full_name": "Mahajan, Raghu", "given_names": "Raghu" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, Stanford University, Stanford, CA, U.S.A.", "organization": "Stanford University" } ], "surname": "Vaezi", "email": "vaezi@stanford.edu", "full_name": "Vaezi, Abolhassan", "given_names": "Abolhassan" } ], "_files": [ { "checksum": "md5:56417adcb2422f101f5e4ef5b5f3004b", "filetype": "xml", "bucket": "f6bc1fa2-df70-435b-b870-c353269f842f", "version_id": "76497baf-978b-495c-a688-2ed5e0639f2a", "key": "10.1007/JHEP11(2018)070.xml", "size": 10671 }, { "checksum": "md5:cbf9cf9232ef606ad9c6ecd217100ea6", "filetype": "pdf/a", "bucket": "f6bc1fa2-df70-435b-b870-c353269f842f", "version_id": "d9cca73f-7b9f-4233-ae76-93be6c3115a8", "key": "10.1007/JHEP11(2018)070_a.pdf", "size": 673489 } ], "record_creation_date": "2018-12-12T17:03:08.504944", "titles": [ { "source": "Springer", "title": "Does the SYK model have a spin glass phase?" } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "dois": [ { "value": "10.1007/JHEP11(2018)070" } ], "publication_info": [ { "page_end": "20", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2018", "year": 2018, "page_start": "1", "journal_issue": "11" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Springer", "value": "We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana fermions. In addition, we find numerically that the distribution of the ground state energy is Gaussian." } ], "imprints": [ { "date": "2018-11-09", "publisher": "Springer" } ], "acquisition_source": { "date": "2018-12-12T17:40:46.728584", "source": "Springer", "method": "Springer", "submission_number": "5d62bc28fe2c11e89d4902163e01809a" } }