Universality of a Critical Magnetic Field in a Holographic Superconductor
D. Momeni** , R. Myrzakulov
Eurasian International Center for Theoretical Physics and Department of General and Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan
Abstract :We study aspects of holographic superconductors analytically in the presence of a constant external magnetic field. It is shown that the critical temperature and the critical magnetic field can be calculated at nonzero temperature. We detect the Meissner effect in such superconductors. A universal relation between black hole mass M and critical magnetic field Hc is proposed to be Hc /M 2/3 ≤0.687365. We also discuss some aspects of phase transition in terms of black hole entropy and Bekenstein's entropy to the energy upper bound.
收稿日期: 2014-10-11
出版日期: 2015-04-30
:
74.62.Bf
(Effects of material synthesis, crystal structure, and chemical composition)
74.25.Ha
(Magnetic properties including vortex structures and related phenomena)
11.25.Tq
(Gauge/string duality)
44.05.+e
(Analytical and numerical techniques)
[1] Horowitz G T and Polchinski J 2009 Approaches to Quantum Gravity (Cambridge: Cambridge University Press)
[2] Witten E 1998 Adv. Theor. Math. Phys. 2 253
[3] Maldacena J 1999 Adv. Theor. Math. Phys. 2 231
Maldacena J 1999 Int. J. Theor. Phys. 38 1113
[4] Gubser S S 2008 Phys. Rev. D 78 065034
[5] Hartnoll S A, Herzog C P and Horowitz G T 2008 Phys. Rev. Lett. 101 031601
[6] Hartnoll S A 2009 Class. Quantum Grav. 26 224002
[7] Herzog C P 2009 J. Phys. A 42 343001
[8] Horowitz G T 2010 arXiv:1002.1722 [hep-th]
[9] Hartnoll S A, Herzog C P and Horowitz G T 2008 J. High Energy Phys. 0812 015
[10] Cai R G, Li L, Li L F and Yang R Q 2014 J. High Energy Phys. 1404 016
[11] Cai R G, Li L and Li L F 2014 J. High Energy Phys. 1401 032
[12] Momeni D, Majd N and Myrzakulov R 2012 Europhys. Lett. 97 61001
[13] Roychowdhury D 2013 J. High Energy Phys. 1305 162
[14] Cai R G, Li L, Li L F and Su R K 2013 J. High Energy Phys. 1306 063
[15] Arias R E and Landea I S 2013 J. High Energy Phys. 1301 157
[16] Gangopadhyay S and Roychowdhury D 2012 J. High Energy Phys. 1208 104
[17] Chen S, Pan Q and Jing J 2013 Commun. Theor. Phys. 60 471
[18] Cai R G, He S, Li L and Zhang Y L 2012 J. High Energy Phys. 1207 027
[19] Kuang X M, Li W J and Ling Y 2012 Class. Quantum Grav. 29 085015
[20] Murray J M and Tesanovic Z 2011 Phys. Rev. D 83 126011
[21] Cai R G, Nie Z Y and Zhang H Q 2011 Phys. Rev. D 83 066013
[22] Momeni D, Myrzakulov R and Raza M 2013 Int. J. Mod. Phys. A 28 1350096
[23] Zeng H B, Sun W M and Zong H S 2011 Phys. Rev. D 83 046010
[24] Cai R G, Nie Z Y and Zhang H Q 2010 Phys. Rev. D 82 066007
[25] Zeng H B, Fan Z Y and Zong H S 2010 Phys. Rev. D 81 106001
[26] Chen J W, Kao Y J, Maity D, Wen W Y and Yeh C P 2010 Phys. Rev. D 81 106008
[27] Zeng H B, Fan Z Y and Zong H S 2010 Phys. Rev. D 82 126008
[28] Chen S B, Pa Q Y and Jing J L 2012 Chin. Phys. B 21 040403
[29] Gao D 2012 Phys. Lett. A 376 1705
[30] Ge X H, Tu S F and Wang B 2012 J. High Energy Phys. 1209 088
[31] Krikun A 2013 arXiv:1312.1588 [hep-th]
[32] Nishida M 2014 arXiv:1403.6070 [hep-th]
[33] Li L F, Cai R G, Li L and Wang Y Q 2014 arXiv:1405.0382 [hep-th]
[34] Momeni D, Raza M and Myrzakulov R 2014 Eur. Phys. J. Plus 129 30
[35] Momeni D, Raza M, Setare M R and Myrzakulov R 2013 Int. J. Theor. Phys. 52 2773
[36] Momeni D, Raza M and Myrzakulov R 2013 J. Grav. 2013 782512
[37] Momeni D, Myrzakulov R, Sebastiani L and Setare M R 2012 arXiv:1210.7965 [hep-th]
[38] Momeni D, Setare M R and Myrzakulov R 2012 Int. J. Mod. Phys. A 27 1250128
[39] Setare M R and Momeni D 2011 Europhys. Lett. 96 60006
[40] Momeni D and Setare M R 2011 Mod. Phys. Lett. A 26 2889
[41] Momeni D, Setare M R and Majd N 2011 J. High Energy Phys. 1105 118
[42] Cai R G, Li L, Zhang H Q and Zhang Y L 2011 Phys. Rev. D 84 126008
[43] Wu J P 2010 arXiv:1006.0456 [hep-th]
[44] Ge X H, Wang B, Wu S F and Yang G H 2010 J. High Energy Phys. 1008 108
[45] Domenech O, Montull M, Pomarol A, Salvio A and Silva P J 2010 J. High Energy Phys. 1008 033
[46] Montull M, Pujolas O, Salvio A and Silva P J 2011 Phys. Rev. Lett. 107 181601
[47] Montull M, Pujolas O, Salvio A and Silva P J 2012 J. High Energy Phys. 1204 135
[48] Salvio A 2012 J. High Energy Phys. 1209 134
[49] Zeng H, Fan Z and Ren Z 2009 Phys. Rev. D 80 066001
[50] Romans L J 1992 Nucl. Phys. B 383 395
[51] Gubser S S 2008 arXiv:0801.2977 [hep-th]
[52] Hartnoll S A, Herzog C P and Horowitz G T 2008 arXiv:0803.3295 [hep-th]
[53] Yin L, Hou D and Ren H C 2013 arXiv:1311.3847 [hep-th]
[54] Gregory R, Kanno S and Soda J 2009 J. High Energy Phys. 0910 010
[55] Ge X H and Leng H Q 2012 Prog. Theor. Phys. 128 1211
[56] Cui S L and Xue Z 2013 arXiv:1306.2013 [hep-th]
[57] Zhao Z, Pan Q and Jing J 2013 arXiv:1311.6260 [hep-th]
[58] Roychowdhury D 2012 Phys. Rev. D 86 106009
[59] Bekenstein J D 1981 Phys. Rev. D 23 287
[60] Nakano E and Wen W Y 2008 Phys. Rev. D 78 046004
[61] Momeni D, Nakano E, Setare M R and Wen W Y 2013 Int. J. Mod. Phys. A 28 1350024
[62] Ehrenfest P 1934 Commun. Phys. Lab. Leiden suppl.75b
[63] Rutgers N 1934 Physica 1 1055
[1]
. [J]. 中国物理快报, 2023, 40(1): 17401-.
[2]
. [J]. 中国物理快报, 2023, 40(1): 17403-.
[3]
. [J]. 中国物理快报, 2020, 37(9): 97401-.
[4]
. [J]. 中国物理快报, 2019, 36(10): 107403-.
[5]
. [J]. 中国物理快报, 2019, 36(9): 97401-097401.
[6]
. [J]. 中国物理快报, 2019, 36(2): 27401-.
[7]
. [J]. 中国物理快报, 2018, 35(9): 97401-097401.
[8]
. [J]. 中国物理快报, 2016, 33(03): 37401-037401.
[9]
. [J]. 中国物理快报, 2013, 30(7): 77403-077403.
[10]
. [J]. 中国物理快报, 2012, 29(8): 87401-087401.
[11]
TAO Qian;SHEN Jing-Qin;LI Lin-Jun;LIN Xiao;LUO Yong-Kang;CAO Guang-Han;XU Zhu-An. Upper Critical Fields and Anisotropy of BaFe1.9 Ni0.1 As2 Single Crystals [J]. 中国物理快报, 2009, 26(9): 97401-097401.
[12]
MA Yan-Wei;GAO Zhao-Shun;WANG Lei;QI Yan-Peng;WANG Dong-Liang;ZHANG Xian-Ping. Simple One-Step Synthesis and Superconducting Properties of SmFeAsO1-x Fx [J]. 中国物理快报, 2009, 26(3): 37401-037401.
[13]
CHEN Gen-Fu;LI Zheng;LI Gang;HU Wan-Zheng;DONG Jing;ZHOU Jun;ZHANG Xiao-Dong;ZHENG Ping;WANG Nan-Lin;LUO Jian-Lin. Superconductivity in Hole-Doped (Sr1-x Kx )Fe2 As2 [J]. 中国物理快报, 2008, 25(9): 3403-3405.
[14]
CHEN Gen-Fu;LI Zheng;WU Dan;DONG Jing;LI Gang;HU Wan-Zheng;ZHENGPing;LUO Jian-Lin;WANG Nan-Lin. Element Substitution Effect in Transition Metal Oxypnictide Re(O1-x Fx )TAs (Re=rare earth, T=transition metal) [J]. 中国物理快报, 2008, 25(6): 2235-2238.
[15]
SUN Xue-Feng;YU Jing;WANG Fa;ZHANG Han. Relation of Structure and Superconductivity in Self-Compensating Y1-x Cax Ba2-x Lax Cu3 Oy [J]. 中国物理快报, 2006, 23(8): 2221-2224.