Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics. (English) Zbl 1326.82031
Summary: We investigate the holographic entanglement entropy in the metal/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction and note that the entropy is a good probe to study the properties of the phase transition. For the operator \(\langle \mathcal{O}_- \rangle\), we find that the entanglement entropy decreases (or increases) with the increase of the Born-Infeld parameter \(b\) in the metal (or superconducting) phase. For the operator \(\langle \mathcal{O}_+ \rangle\), we observe that, with the increase of the Born-Infeld parameter, the entanglement entropy in the metal phase decreases monotonously but the entropy in the superconducting phase first increases and forms a peak at some threshold \(b_T\), then decreases continuously. Moreover, the value of \(b_T\) becomes smaller as the width of the subsystem \(A\) decreases.
MSC:
| 82D55 | Statistical mechanics of superconductors |
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 94A17 | Measures of information, entropy |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
References:
| [1] | ’t Hooft, G., Dimensional reduction in quantum gravity (1993), THU-93/26 |
| [2] | Susskind, L., The world as a hologram, Math. Phys., 36, 6377-6396 (1995) · Zbl 0850.00013 |
| [3] | Maldacena, J. M., The large \(N\) limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys., 2, 231-252 (1998) · Zbl 0914.53047 |
| [4] | Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M., Gauge theory correlators from noncritical string theory, Phys. Lett. B, 428, 105-114 (1998) · Zbl 1355.81126 |
| [5] | Witten, E., Anti-de Sitter space and holography, Adv. Theor. Math. Phys., 2, 253-291 (1998) · Zbl 0914.53048 |
| [6] | Ge, X. H.; Wang, B.; Wu, S. F.; Yang, G. H., Analytical study on holographic superconductors in external magnetic field, J. High Energy Phys., 08, 108 (2010) · Zbl 1290.82034 |
| [7] | Gregory, R.; Kanno, S.; Soda, J., Holographic superconductors with higher curvature corrections, J. High Energy Phys., 0910, 010 (2009) |
| [8] | Nakano, E.; Wen, W. Y., Critical magnetic field in a holographic superconductor, Phys. Rev. D, 78, 046004 (2008) |
| [9] | Amado, I.; Kaminski, M.; Landsteiner, K., Hydrodynamics of holographic superconductors, J. High Energy Phys., 05, 021 (2009) |
| [10] | Koutsoumbas, G.; Papantonopoulos, E.; Siopsis, G., Exact gravity dual of a gapless superconductor, J. High Energy Phys., 07, 026 (2009) |
| [11] | Umeh, O. C., Scanning the parameter space of holographic superconductors, J. High Energy Phys., 08, 062 (2009) |
| [12] | Sonner, J., Rotating holographic superconductor, Phys. Rev. D, 80, 084031 (2009) |
| [13] | Franco, S.; Garcia-Garcia, A. M.; Rodriguez-Gomez, D., Holographic approach to phase transitions, Phys. Rev. D, 81, 041901(R) (2010) |
| [14] | Herzog, C. P., Analytic holographic superconductor, Phys. Rev. D, 81, 126009 (2010) |
| [15] | Horowitz, G. T.; Roberts, M. M., Holographic superconductors with various condensates, Phys. Rev. D, 78, 126008 (2008) |
| [16] | Konoplya, R. A.; Zhidenko, A., Holographic conductivity of zero temperature superconductors, Phys. Lett. B, 686, 199 (2010) |
| [17] | Siopsis, G.; Therrien, J., Analytic calculation of properties of holographic superconductors, J. High Energy Phys., 05, 013 (2010) · Zbl 1288.82061 |
| [18] | Maeda, K.; Natsuume, M.; Okamura, T., Universality class of holographic superconductors, Phys. Rev. D, 79, 126004 (2009) |
| [19] | Cai, R. G.; Nie, Z. Y.; Zhang, H. Q., Holographic p-wave superconductors from Gauss-Bonnet gravity, Phys. Rev. D, 82, 066007 (2010) |
| [20] | Pan, Q. Y.; Wang, B., General holographic superconductor models with Gauss-Bonnet corrections, Phys. Lett. B, 693, 159 (2010) |
| [21] | Domènech, Oriol; Montull, Marc; Pomarol, Alex; Salvio, Alberto; Silva, Pedro J., Emergent gauge fields in holographic superconductors, J. High Energy Phys., 033, 1008 (2010) · Zbl 1291.82138 |
| [22] | Jing, J. L.; Wang, L. C.; Pan, Q. Y.; Chen, S. B., Holographic superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics, Phys. Rev. D, 83, 066010 (2011) |
| [23] | Born, M.; Infeld, L., Foundations of the new field theory, Proc. R. Soc. A, 144, 425 (1934) · Zbl 0008.42203 |
| [24] | Gibbons, G. W.; Rasheed, D. A., Electric-magnetic duality rotations in non-linear electrodynamics, Nucl. Phys., 454, 185 (1995) · Zbl 0925.83031 |
| [25] | Hoffmann, B., Gravitational and electromagnetic mass in the Born-Infeld electrodynamics, Phys. Rev., 47, 877 (1935) · JFM 61.1566.01 |
| [26] | Heisenberg, W.; Euler, H., Folgerungen aus der Diracschen Theorie des Positrons, Z. Phys., 98, 714 (1936) · Zbl 0013.18503 |
| [27] | de Oliveira, H. P., Non-linear charged black holes, Class. Quantum Gravity, 11, 1469 (1994) |
| [28] | Miskovic, O.; Olea, R., Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space, Phys. Rev. D, 83, 024011 (2011) |
| [29] | Jing, J. L.; Chen, S. B., Holographic superconductors in the Born-Infeld electrodynamics, Phys. Lett. B, 686, 68 (2010) |
| [30] | Gangopadhyay, Sunandan; Roychowdhury, Dibakar, Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics, J. High Energy Phys., 05, 002 (2012) |
| [31] | Ryu, S.; Takayanagi, T., Entanglement entropy and the Berry phase in the solid state, Phys. Rev. Lett., 96, 181602 (2006) · Zbl 1228.83110 |
| [32] | Ryu, S.; Takayanagi, T., Aspects of holographic entanglement entropy, J. High Energy Phys., 0608, 045 (2006) |
| [33] | Nishioka, T.; Ryu, S.; Takayanagi, T., Holographic entanglement entropy: an overview, J. Phys. A, 42, 504008 (2009) · Zbl 1179.81138 |
| [34] | Albash, T.; Johnson, C. V., Holographic entanglement entropy and renormalization group flow, J. High Energy Phys., 1202, 095 (2012) · Zbl 1309.81140 |
| [35] | Myers, R. C.; Singh, A., Comments on holographic entanglement entropy and RG flows, J. High Energy Phys., 1204, 122 (2012) · Zbl 1348.81337 |
| [36] | de Boer, J.; Kulaxizi, M.; Parnachev, A., Holographic entanglement entropy in Lovelock gravities, J. High Energy Phys., 1107, 109 (2011) · Zbl 1298.81265 |
| [37] | Hung, L. Y.; Myers, R. C.; Smolkin, M., On holographic entanglement entropy and higher curvature gravity, J. High Energy Phys., 1104, 025 (2011) |
| [38] | Nishioka, T.; Takayanagi, T., AdS bubbles, entropy and closed string tachyons, J. High Energy Phys., 0701, 090 (2007) |
| [39] | Klebanov, I. R.; Kutasov, D.; Murugan, A., Entanglement as a probe of confinement, Nucl. Phys. B, 796, 274 (2008) · Zbl 1219.81214 |
| [40] | Pakman, A.; Parnachev, A., Topological entanglement entropy and holography, J. High Energy Phys., 0807, 097 (2008) |
| [41] | Arias, Raúl E.; Landea, Ignacio Salazar, Backreacting p-wave Superconductors, J. High Energy Phys., 01, 157 (2013) |
| [42] | Albash, T.; Johnson, C. V., Holographic studies of entanglement entropy in superconductors, J. High Energy Phys., 1205, 079 (2012) |
| [43] | Ogawa, N.; Takayanagi, T., Higher derivative corrections to holographic entanglement entropy for AdS solitons, J. High Energy Phys., 1110, 147 (2011) · Zbl 1303.81177 |
| [44] | Dong, Xi, Holographic entanglement entropy for general higher derivative gravity · Zbl 1333.83156 |
| [45] | Cai, R. G.; He, S.; Li, L.; Zhang, Y. L., Holographic entanglement entropy on P-wave superconductor phase transition, J. High Energy Phys., 1207, 027 (2012) |
| [46] | Li, Li-Fang; Cai, Rong-Gen; Li, Li; Shen, Chao, Entanglement entropy in a holographic p-wave superconductor model · Zbl 1328.82057 |
| [47] | Cai, R. G.; He, S.; Li, L.; Zhang, Y. L., Holographic entanglement entropy in insulator/superconductor transition, J. High Energy Phys., 1207, 088 (2012) |
| [48] | Cai, R. G.; He, S.; Li, L.; Li, L. F., Entanglement entropy and Wilson loop in Stückelberg holographic insulator/superconductor model, J. High Energy Phys., 1210, 107 (2012) |
| [49] | Kuang, X. M.; Papantonopoulos, E.; Wang, B., Entanglement entropy as a probe of the proximity effect in holographic superconductors, J. High Energy Phys., 05, 130 (2014) |
| [50] | Peng, Yan; Pan, Qiyuan, Holographic entanglement entropy in general holographic superconductor models, J. High Energy Phys., 06, 011 (2014) |
| [51] | Yao, Weiping; Jing, Jiliang, Holographic entanglement entropy in insulator/superconductor transition with Born-Infeld electrodynamics, J. High Energy Phys., 05, 058 (2014) · Zbl 1326.82031 |
| [52] | Hartnoll, S. A.; Herzog, C. P.; Horowitz, G. T., Building a holographic superconductor, Phys. Rev. Lett., 101, 031601 (2008) · Zbl 1404.82086 |
| [53] | Hartnoll, S. A.; Herzog, C. P.; Horowitz, G. T., Holographic superconductors, J. High Energy Phys., 12, 015 (2008) · Zbl 1329.81390 |
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