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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

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 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

In this paper, based on the Sturm-Liouville eigenvalue problem, we analytically investigate several properties of holographic s-wave superconductors in the background of a Schwarzschild-AdS spacetime in the framework of Born-Infeld…

High Energy Physics - Theory · Physics 2015-06-04 Sunandan Gangopadhyay , Dibakar Roychowdhury

In this paper, we have analytically computed the conductivity of holographic superconductors in the framework of Born-Infeld electrodynamics taking into account the backreaction of the matter fields on the bulk spacetime metric. The effect…

High Energy Physics - Theory · Physics 2018-06-12 Debabrata Ghorai , Sunandan Gangopadhyay

We study holographic superconductors in five dimensional Einstein-Gauss-Bonnet gravity both numerically and analytically. We find the critical temperature of the superconductor decreases as backreaction is increased, although the effect of…

High Energy Physics - Theory · Physics 2010-12-14 Luke Barclay , Ruth Gregory , Sugumi Kanno , Paul Sutcliffe

We study holographic superconductors in 3+1 dimensions away from the probe limit, i.e. taking back-reaction of the space-time into account. We consider the case of pure Einstein- and Gauss-Bonnet gravity, respectively. Similar to the probe…

High Energy Physics - Theory · Physics 2014-11-20 Yves Brihaye , Betti Hartmann

This article is devoted to the regular fractional Sturm--Liouville eigenvalue problem. Applying methods of fractional variational analysis we prove existence of countable set of orthogonal solutions and corresponding eigenvalues. Moreover,…

Optimization and Control · Mathematics 2014-06-04 Malgorzata Klimek , Tatiana Odzijewicz , Agnieszka B. Malinowska

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

We construct the holographic superconductors away from the probe limit in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases…

High Energy Physics - Theory · Physics 2021-11-08 Jie Pan , Xiongying Qiao , Dong Wang , Qiyuan Pan , Zhang-Yu Nie , Jiliang Jing

Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a holographic complexity for two dimensional holographic superconductors (gauge/string superconductors) with backreactions. Applying a perturbation method proposed by…

High Energy Physics - Theory · Physics 2016-06-02 Davood Momeni , Seyed Ali Hosseini Mansoori , Ratbay Myrzakulov

We study the holographic s-wave superfluid model with 4th and 6th power self-interaction terms $\lambda |\psi|^4$ and $\tau |\psi|^6$ with considering the full back-reaction of the matter fields on the metric in the 3+1 dimensional bulk.…

High Energy Physics - Phenomenology · Physics 2025-10-06 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

In this paper a holographic model of $s$-wave superconductor with anisotropic Lifshitz scaling has been considered. In the presence of an external magnetic field our holographic model exhibits both vortex and droplet solutions. Based on…

High Energy Physics - Theory · Physics 2015-06-19 Arindam Lala

This research was devoted to investigate the inverse spectral problem of Sturm-Liouville operator with many frozen arguments. Under some assumptions, the authors obtained uniqueness theorems. At the end, a numerical simulation for the…

Spectral Theory · Mathematics 2024-07-23 Chung-Tsun Shieh , Tzong-Mo Tsai

The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions. We obtain necessary and sufficient conditions for uniqueness, and…

Spectral Theory · Mathematics 2021-09-01 Natalia Bondarenko

This paper deals with the discrete system being the finite-difference approximation of the Sturm-Liouville problem with frozen argument. The inverse problem theory is developed for this discrete system. We describe the two principal cases:…

Numerical Analysis · Mathematics 2021-08-25 Natalia P. Bondarenko

Using linear response theory, we analyze optical response properties of generalized holographic superconductors, in AdS-Schwarzschild and single R-charged black hole backgrounds in four dimensions. By introducing momentum dependent vector…

High Energy Physics - Theory · Physics 2015-06-23 Subhash Mahapatra

The variational quantum eigensolver (VQE) and its variants, which is a method for finding eigenstates and eigenenergies of a given Hamiltonian, are appealing applications of near-term quantum computers. Although the eigenenergies are…

Quantum Physics · Physics 2020-02-12 Kosuke Mitarai , Yuya O. Nakagawa , Wataru Mizukami

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

With the Sturm-Liouville analytical and numerical methods, we investigate the behaviors of the holographic superconductors by introducing a complex charged scalar field coupled with a Power-Maxwell field in the background of $d$-dimensional…

High Energy Physics - Theory · Physics 2015-05-28 Jiliang Jing , Qiyuan Pan , Songbai Chen