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The holographic model for a two-dimensional superconductor has been investigated by considering the three-dimensional gravity in the bulk. To find the critical temperature, we used the Sturm-Liouville variational method. Where as the same…

General Physics · Physics 2013-07-09 Davood Momeni , Muhammad Raza , Mohammad Reza Setare , Ratbay Myrzakulov

Based on the Sturm-Liouville eigenvalue problem, we develop a general analytic technique to investigate the excited states of the holographic superconductors. By including more higher order terms in the expansion of the trial function, we…

High Energy Physics - Theory · Physics 2020-10-22 Xiongying Qiao , Dong Wang , Liang OuYang , Mengjie Wang , Qiyuan Pan , Jiliang Jing

We analytically sutdy the effect of external magnetic field in a Holographic superconductor by using Sturm-Liouville method. We estimate the coefficient of proportionality at critical temperature and find its denpendence on external…

High Energy Physics - Theory · Physics 2013-03-29 D. Momeni , Eiji Nakano , M. R. Setare , Wen-Yu Wen

We take advantage of the Sturm-Liouville eigenvalue problem to analytically study the holographic insulator/superconductor phase transition in the probe limit. The interesting point is that this analytical method can not only estimate the…

High Energy Physics - Theory · Physics 2013-08-26 Huai-Fan Li

In this paper, we analytically investigate the noncommutative effects of a charged black hole on holographic superconductors. The effects of charge of the black hole is investigated in our study. Employing the Sturm-Liouville eigenvalue…

High Energy Physics - Theory · Physics 2018-10-31 Diganta Parai , Debabrata Ghorai , Sunandan Gangopadhyay

In this paper, based on the Sturm-Liouville eigenvalue approach, we analytically investigate the properties of holographic superconductors in the background of pure Einstein and Gauss-Bonnet gravity taking into account the backreaction of…

High Energy Physics - Theory · Physics 2013-07-19 Sunandan Gangopadhyay

We use the variational method for the Sturm-Liouville eigenvalue problem to analytically calculate some properties of holographic superconductors with Gauss-Bonnet gravity in probe limit. By studying the holographic p-wave and s-wave…

High Energy Physics - Theory · Physics 2011-04-14 Huai-Fan Li , Rong-Gen Cai , Hai-Qing Zhang

In this paper, we have studied the effect of Born-Infeld electrodynamics in holographic $p$-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the…

High Energy Physics - Theory · Physics 2020-03-31 Ankur Srivastav , Debabrata Ghorai , Sunandan Gangopadhyay

We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the…

High Energy Physics - Theory · Physics 2019-11-01 Mahya Mohammadi , Ahmad Sheykhi , Mahdi Kord Zangeneh

Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ($2+1$)-dimensional superconductor with Born-Infeld electrodynamics [Phys. Rev. D…

High Energy Physics - Theory · Physics 2015-08-25 Chuyu Lai , Qiyuan Pan , Jiliang Jing , Yongjiu Wang

Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the…

High Energy Physics - Theory · Physics 2023-05-03 Diganta Parai , Suchetana Pal , Sunandan Gangopadhyay

Holographic model of a three-dimensional current carrying superconductor or superfluid with {\it dark matter} sector described by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We…

High Energy Physics - Theory · Physics 2016-11-08 Marek Rogatko , Karol I. Wysokinski

In this paper, we investigate holographic superconductors dual to asymptotically anti-de Sitter black holes in an Einstein-Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In the probe limit, it shows…

High Energy Physics - Theory · Physics 2021-11-24 Yiqian Chen , Xiaobo Guo , Peng Wang

We analytically as well as numerically disclose the effects of the higher order correction terms in the gravity and in the gauge field on the properties of $s$-wave holographic superconductors. On the gravity side, we consider the higher…

High Energy Physics - Theory · Physics 2018-02-27 Ahmad Sheykhi , Afsoon Ghazanfari , Amin Dehyadegari

In this work, we have studied the effects of noncommutative geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the St\"{u}rm-Liouville eigenvalue approach to…

High Energy Physics - Theory · Physics 2025-09-24 Souvik Paul , Sunandan Gangopadhyay

The low-energy limits of the string theory lead to the higher-order curvature corrections for Einstein gravity. Also, they give the higher-order derivative corrections for the Maxwell or linear electrodynamics, which suggests the nonlinear…

High Energy Physics - Theory · Physics 2019-09-09 Cao H. Nam

We construct a family of solutions of the holographic insulator/superconductor phase transitions with the excited states in the AdS soliton background by using both the numerical and analytical methods. The interesting point is that the…

High Energy Physics - Theory · Physics 2021-02-16 Liang OuYang , Dong Wang , Xiongying Qiao , Mengjie Wang , Qiyuan Pan , Jiliang Jing

Based on the matching method, we explore the effects of adding an external magnetic field on the $s$-wave holographic superconductor when the gauge field is in the form of the logarithmic nonlinear source. First, we obtain the critical…

High Energy Physics - Theory · Physics 2017-03-21 A. Sheykhi , F. Shamsi

We provide an analytical as well as a numerical study of the holographic $s$-wave superconductors in Gauss-Bonnet gravity with Power-Maxwell electrodynamics. We limit our study to the case where scalar and gauge fields do not have an effect…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Ahmad Sheykhi , Hamid Reza Salahi , Afshin Montakhab

We investigate the effect of the hyperscaling violation on the holographic superconductors. In the s-wave model, we find that the critical temperature decreases first and then increases as the hyperscaling violation increases, and the mass…

High Energy Physics - Theory · Physics 2016-04-08 Qiyuan Pan , Shao-Jun Zhang