Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2
The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions inside normal and superconducting phases with backreactions. By m...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-07-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315004487 |
| _version_ | 1818177985542356992 |
|---|---|
| author | Davood Momeni Hossein Gholizade Muhammad Raza Ratbay Myrzakulov |
| author_facet | Davood Momeni Hossein Gholizade Muhammad Raza Ratbay Myrzakulov |
| author_sort | Davood Momeni |
| collection | DOAJ |
| description | The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions inside normal and superconducting phases with backreactions. By making the UV and IR limits applied to the integrals, an approximate expression for HEE is obtained. In case the software cannot calculate minimal surface integrals analytically, it offers the possibility to proceed with a numerical evaluation of the corresponding terms. We'll understand how the area formula incorporates the structure of the domain wall approximation. We see that HEE changes linearly with belt angle. It's due to the extensivity of this type of entropy and the emergent of an entropic force. We find that the wider belt angle corresponds to a larger holographic surface. Another remarkable observation is that no “confinement/deconfinement” phase transition point exists in our 2D dual field theory. Furthermore, we observe that the slope of the HEE with respect to the temperature dSdT decreases, thanks to the emergence extra degree of freedom(s) in low temperature system. A first order phase transition is detected near the critical point. |
| first_indexed | 2024-12-11T20:40:47Z |
| format | Article |
| id | doaj.art-4928a111a7c04a5682b98a42333d0643 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-11T20:40:47Z |
| publishDate | 2015-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-4928a111a7c04a5682b98a42333d06432022-12-22T00:51:30ZengElsevierPhysics Letters B0370-26931873-24452015-07-01747C41742510.1016/j.physletb.2015.06.026Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2Davood Momeni0Hossein Gholizade1Muhammad Raza2Ratbay Myrzakulov3Eurasian International Center for Theoretical Physics and Department of General & Theoretical Physics, Eurasian National University, Astana 010008, KazakhstanDepartment of Physics, Tampere University of Technology, P.O.Box 692, FI-33101 Tampere, FinlandDepartment of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, PakistanEurasian International Center for Theoretical Physics and Department of General & Theoretical Physics, Eurasian National University, Astana 010008, KazakhstanThe aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions inside normal and superconducting phases with backreactions. By making the UV and IR limits applied to the integrals, an approximate expression for HEE is obtained. In case the software cannot calculate minimal surface integrals analytically, it offers the possibility to proceed with a numerical evaluation of the corresponding terms. We'll understand how the area formula incorporates the structure of the domain wall approximation. We see that HEE changes linearly with belt angle. It's due to the extensivity of this type of entropy and the emergent of an entropic force. We find that the wider belt angle corresponds to a larger holographic surface. Another remarkable observation is that no “confinement/deconfinement” phase transition point exists in our 2D dual field theory. Furthermore, we observe that the slope of the HEE with respect to the temperature dSdT decreases, thanks to the emergence extra degree of freedom(s) in low temperature system. A first order phase transition is detected near the critical point.http://www.sciencedirect.com/science/article/pii/S0370269315004487 |
| spellingShingle | Davood Momeni Hossein Gholizade Muhammad Raza Ratbay Myrzakulov Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 Physics Letters B |
| title | Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 |
| title_full | Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 |
| title_fullStr | Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 |
| title_full_unstemmed | Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 |
| title_short | Holographic entanglement entropy in 2D holographic superconductor via AdS3/CFT2 |
| title_sort | holographic entanglement entropy in 2d holographic superconductor via ads3 cft2 |
| url | http://www.sciencedirect.com/science/article/pii/S0370269315004487 |
| work_keys_str_mv | AT davoodmomeni holographicentanglemententropyin2dholographicsuperconductorviaads3cft2 AT hosseingholizade holographicentanglemententropyin2dholographicsuperconductorviaads3cft2 AT muhammadraza holographicentanglemententropyin2dholographicsuperconductorviaads3cft2 AT ratbaymyrzakulov holographicentanglemententropyin2dholographicsuperconductorviaads3cft2 |