In this paper, in the framework of massive gravity, the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) are numerically investigated by means of the RT formula and the subregion CV conjucture for holographic superconductor with backreaction. We find that both the HEE and HSC exhibit discontinuity of slope at critical temperature, hence both of them are able to reflect the information of phase transition in the holographic superconducting system. Different from the previous studies, the HEE and HSC as function of strip-width are not always lower in the superconducting phase than ones in the normal phase, in particular the HSC decreases linearly as the subregion increases for positive coupling parameters. We notice that when the coupling parameters $$\alpha $$ and $$\beta $$ are taken as positive values, the HSC behaves in the same way as HEE, but when they are negative, the HSC has many different behaviors from HEE. Furthermore, we also observe that the HEE and HSC in the superconducting phase illustrate a tendency to converge to the same value as the temperature approaches zero, regardless of the coupling parameters of model. It is worth mentioning that in the massless gravity limit (the coupling parameters $$\alpha =0$$ and $$\beta =0$$ ), the results given by us are consistent with the case of holographic superconductor with backreaction from Einstein gravity.
{ "_oai": { "updated": "2024-05-23T03:30:56Z", "id": "oai:repo.scoap3.org:84943", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "China", "value": "Department of Physics, Liaoning Normal University, Dalian, 116029, People\u2019s Republic of China", "organization": "Liaoning Normal University" }, { "country": "China", "value": "Department of Physics, Anshan Normal University, Anshan, 114007, People\u2019s Republic of China", "organization": "Anshan Normal University" } ], "surname": "Hu", "given_names": "Yiliang", "full_name": "Hu, Yiliang" }, { "affiliations": [ { "country": "China", "value": "Department of Physics, Liaoning Normal University, Dalian, 116029, People\u2019s Republic of China", "organization": "Liaoning Normal University" } ], "surname": "Wu", "email": "ybwu61@163.com", "full_name": "Wu, Yabo", "given_names": "Yabo" }, { "affiliations": [ { "country": "China", "value": "School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun, 558000, People\u2019s Republic of China", "organization": "Qiannan Normal University for Nationalities" } ], "surname": "Lu", "given_names": "Junwang", "full_name": "Lu, Junwang" }, { "affiliations": [ { "country": "China", "value": "Department of Physics, Liaoning Normal University, Dalian, 116029, People\u2019s Republic of China", "organization": "Liaoning Normal University" } ], "surname": "Chi", "given_names": "Jianan", "full_name": "Chi, Jianan" }, { "affiliations": [ { "country": "China", "value": "Department of Physics, Liaoning Normal University, Dalian, 116029, People\u2019s Republic of China", "organization": "Liaoning Normal University" }, { "country": "China", "value": "Department of Physics, Shenyang University, Shenyang, 110044, People\u2019s Republic of China", "organization": "Shenyang University" } ], "surname": "Liu", "given_names": "Wenzhong", "full_name": "Liu, Wenzhong" }, { "affiliations": [ { "country": "China", "value": "School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang, 065000, People\u2019s Republic of China", "organization": "North China Institute of Aerospace Engineering" } ], "surname": "Chen", "given_names": "Bohai", "full_name": "Chen, Bohai" } ], "titles": [ { "source": "Springer", "title": "Holographic entanglement entropy and subregion complexity for s-wave superconductor from massive gravity" } ], "dois": [ { "value": "10.1140/epjc/s10052-024-12780-z" } ], "publication_info": [ { "page_end": "16", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "84", "artid": "s10052-024-12780-z", "year": 2024, "page_start": "1", "journal_issue": "4" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-05-23T03:30:46.003667", "source": "Springer", "method": "Springer", "submission_number": "bc1eb2b418b411efa96f6a3e651b8b98" }, "page_nr": [ 16 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2024" } ], "control_number": "84943", "record_creation_date": "2024-04-25T06:30:04.648650", "_files": [ { "checksum": "md5:3a47b2f64979b9f4ddbffccac15cc973", "filetype": "xml", "bucket": "c878095e-474c-4dc1-8667-dbf71f4971d1", "version_id": "5926e5e2-c23f-4a4b-915d-0cbff3bcb2ec", "key": "10.1140/epjc/s10052-024-12780-z.xml", "size": 17760 }, { "checksum": "md5:99b4a937151f57fe52af4d9eddd113e8", "filetype": "pdf/a", "bucket": "c878095e-474c-4dc1-8667-dbf71f4971d1", "version_id": "e0ab59c3-1b21-4171-bc68-010871ff275e", "key": "10.1140/epjc/s10052-024-12780-z_a.pdf", "size": 1785771 } ], "collections": [ { "primary": "European Physical Journal C" } ], "abstracts": [ { "source": "Springer", "value": "In this paper, in the framework of massive gravity, the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) are numerically investigated by means of the RT formula and the subregion CV conjucture for holographic superconductor with backreaction. We find that both the HEE and HSC exhibit discontinuity of slope at critical temperature, hence both of them are able to reflect the information of phase transition in the holographic superconducting system. Different from the previous studies, the HEE and HSC as function of strip-width are not always lower in the superconducting phase than ones in the normal phase, in particular the HSC decreases linearly as the subregion increases for positive coupling parameters. We notice that when the coupling parameters $$\\alpha $$ <math> <mi>\u03b1</mi> </math> and $$\\beta $$ <math> <mi>\u03b2</mi> </math> are taken as positive values, the HSC behaves in the same way as HEE, but when they are negative, the HSC has many different behaviors from HEE. Furthermore, we also observe that the HEE and HSC in the superconducting phase illustrate a tendency to converge to the same value as the temperature approaches zero, regardless of the coupling parameters of model. It is worth mentioning that in the massless gravity limit (the coupling parameters $$\\alpha =0$$ <math> <mrow> <mi>\u03b1</mi> <mo>=</mo> <mn>0</mn> </mrow> </math> and $$\\beta =0$$ <math> <mrow> <mi>\u03b2</mi> <mo>=</mo> <mn>0</mn> </mrow> </math> ), the results given by us are consistent with the case of holographic superconductor with backreaction from Einstein gravity." } ], "imprints": [ { "date": "2024-04-25", "publisher": "Springer" } ] }