scholarly journals Notes on analytical study of holographic superconductors with Lifshitz scaling in external magnetic field

2014 ◽  
Vol 735 ◽  
pp. 438-444 ◽  
Author(s):  
Zixu Zhao ◽  
Qiyuan Pan ◽  
Jiliang Jing
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Analytical Study ◽  
Holographic Superconductors

ANALYTICAL STUDY OF EXTERNAL MAGNETIC FIELD EFFECT ON THE ENERGY LEVELS OF A TWO-ELECTRON QUANTUM DOT

2010 ◽  
Vol 24 (11) ◽  
pp. 1127-1133 ◽  
Author(s):  
H. HASSANABADI ◽  
M. HAMZAVI ◽  
A. A. RAJABI
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Quantum Dot ◽  
Analytical Method ◽  
Field Effect ◽  
Analytical Study ◽  
Energy Levels ◽  
Magnetic Field Effect ◽  
Spin Interaction ◽  
Electron Quantum

We introduce an analytical method to solve the corresponding Schrödinger equation of a two-electron quantum dot in the presence of harmonic plus linear terms as well as a term related to spin interaction. Next, we calculate the energy eigenstates in the presence of an external magnetic field. The obtained results are comparable to those of [Formula: see text] expansion and WKB methods.

scholarly journals Holographic superconductors in Born–Infeld electrodynamics and external magnetic field

2014 ◽  
Vol 29 (17) ◽  
pp. 1450088 ◽  
Author(s):  
Sunandan Gangopadhyay
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
External Magnetic Field ◽  
Critical Magnetic Field ◽  
Field Equations ◽  
Holographic Superconductor ◽  
Holographic Superconductors

In this paper, we analytically investigate the effect of adding an external magnetic field in the presence of Born–Infeld (BI) corrections to a holographic superconductor in the probe limit. The technique employed is based on the matching of the solutions to the field equations near the horizon and the asymptotic AdS region. We obtain expressions for the critical temperature and the condensation values explicitly to all orders in the BI parameter. The value of the critical magnetic field is finally obtained and is found to get affected by the BI parameter.

scholarly journals ANALYTICAL STUDY OF CRITICAL MAGNETIC FIELD IN A HOLOGRAPHIC SUPERCONDUCTOR

2013 ◽  
Vol 28 (08) ◽  
pp. 1350024 ◽  
Author(s):  
D. MOMENI ◽  
EIJI NAKANO ◽  
M. R. SETARE ◽  
WEN-YU WEN
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Critical Temperature ◽  
General Feature ◽  
Analytical Study ◽  
Critical Magnetic Field ◽  
Zero Temperature ◽  
Holographic Superconductor ◽  
Holographic Superconductors ◽  
Sturm Liouville

We analytically study the effect of magnetic field in a holographic superconductor by using Sturm–Liouville method. We estimate the coefficient of proportionality at critical temperature and find its dependence on bulk magnetic field. By exploring the phase diagrams of critical temperature and magnetic field for various condensates, we conclude that the existence of critical magnetic field is a general feature in holographic superconductors. We also study the quantum phase transition at zero temperature and find that the critical charge density increases linearly with the condensate dimension.

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