scholarly journals Analytical Calculation on Critical Magnetic Field in Holographic Superconductors with Backreaction

2012 ◽  
Vol 128 (6) ◽  
pp. 1211-1228 ◽  
Author(s):  
X.-H. Ge ◽  
H.-Q. Leng
Keyword(s):  
Magnetic Field ◽  
Analytical Calculation ◽  
Critical Magnetic Field ◽  
Holographic Superconductors

scholarly journals Meissner effect in holographic superconductors with Dirac–Born–Infeld electrodynamics

2019 ◽  
Vol 35 (06) ◽  
pp. 2050020
Author(s):  
Debabrata Ghorai ◽  
Sunandan Gangopadhyay ◽  
Rabin Banerjee
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Meissner Effect ◽  
Critical Magnetic Field ◽  
Matching Method ◽  
Holographic Superconductors

In this paper, we have investigated the Meissner effect of holographic superconductors in the presence of Dirac–Born–Infeld electrodynamics. The matching method is applied to obtain the critical magnetic field and the critical temperature. The critical magnetic field obtained from this investigation shows the effects of the DBI parameter [Formula: see text] and differs from that obtained from Born electrodynamics because of the extra [Formula: see text] term in the Dirac–Born–Infeld theory. It is observed that the critical magnetic field increases in Dirac–Born–Infeld theory compared to that in the Born theory.

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.

scholarly journals A holographic model of d-wave superconductor vortices with Lifshitz scaling

2016 ◽  
Vol 25 (02) ◽  
pp. 1650021 ◽  
Author(s):  
Hong Guo ◽  
Fu-Wen Shu ◽  
Jing-He Chen ◽  
Hui Li ◽  
Ze Yu
Keyword(s):  
Magnetic Field ◽  
Vortex Lattice ◽  
Critical Magnetic Field ◽  
Ginzburg Landau ◽  
Vortex Lattices ◽  
Upper Critical Magnetic Field ◽  
Holographic Superconductors ◽  
Superconducting Coherence Length ◽  
Higher Order Corrections ◽  
Gl Theory

We study analytically the [Formula: see text]-wave holographic superconductors with Lifshitz scaling in the presence of external magnetic field. The vortex lattice solutions of the model have also been obtained with different Lifshitz scaling. Our results imply that holographic [Formula: see text]-wave superconductor is indeed a type II one even for different Lifshitz scaling. This is the same as the conventional [Formula: see text]-wave superconductors in the Ginzburg–Landau (GL) theory. Our results also indicates that the dynamical exponent [Formula: see text] cannot affect the droplet solutions, and the vortex lattice solutions receive its effects only in the radial part. This naively implies that it does not have direct influence on the shape of vortex lattice even after the higher-order corrections are taken into consideration (away from the phase transition point [Formula: see text]). However, it has effects on the upper critical magnetic field [Formula: see text] through the fact that a larger [Formula: see text] results in a smaller [Formula: see text] and therefore influences the size (characterized by [Formula: see text]) of the vortex lattices. Furthermore, close comparisons between our results and those of the GL theory reveal the fact that the upper critical magnetic field [Formula: see text] is inversely proportional to the square of the superconducting coherence length [Formula: see text], regardless of the anisotropy between space and time.

A novel analytical calculation of magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping

2020 ◽  
pp. 1-15
Author(s):  
Jianqi Li ◽  
Yu Zhou ◽  
Jianying Li
Keyword(s):  
Magnetic Field ◽  
Conformal Mapping ◽  
Permanent Magnet ◽  
Flux Density ◽  
Analytical Method ◽  
Electromotive Force ◽  
Analytical Calculation ◽  
Air Gap ◽  
Permanent Magnet Machines ◽  
Peak Value

This paper presented a novel analytical method for calculating magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping. Firstly, flux density without slots and complex relative air-gap permeance of slotted air gap are derived from conformal transformation separately. Secondly, they are combined in order to obtain normalized flux density taking account into the slots effect. The finite element (FE) results confirmed the validity of the analytical method for predicting magnetic field and back electromotive force (BEMF) in the slotted air gap of spoke-type permanent-magnet machines. In comparison with FE result, the analytical solution yields higher peak value of cogging torque.

Enhanced critical magnetic field for monoatomic-layer superconductor by Josephson junction steps

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Fumikazu Oguro ◽  
Yudai Sato ◽  
Kanta Asakawa ◽  
Masahiro Haze ◽  
Yukio Hasegawa
Keyword(s):  
Magnetic Field ◽  
Josephson Junction ◽  
Critical Magnetic Field

Critical Magnetic Field of Thin Superposed Films

1966 ◽  
Vol 150 (1) ◽  
pp. 222-225 ◽  
Author(s):  
Rudolf Klein ◽  
Gaston Fischer
Keyword(s):  
Magnetic Field ◽  
Critical Magnetic Field

Upper Critical Magnetic Field of the Heavy-Fermion Superconductor UBe13

1985 ◽  
Vol 54 (5) ◽  
pp. 477-480 ◽  
Author(s):  
M. B. Maple ◽  
J. W. Chen ◽  
S. E. Lambert ◽  
Z. Fisk ◽  
J. L. Smith ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Heavy Fermion ◽  
Critical Magnetic Field ◽  
Upper Critical Magnetic Field ◽  
Heavy Fermion Superconductor

Superconductors with spin–orbit interactions

2016 ◽  
Vol 30 (25) ◽  
pp. 1650183 ◽  
Author(s):  
Yu. N. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Superconducting Films ◽  
Critical Magnetic Field ◽  
Spin Orbit ◽  
Zero Temperature ◽  
Interband Pairing ◽  
Two Parameters ◽  
Spin Orbit Interactions ◽  
Parameter Values ◽  
Thin Superconducting Films

The effect of spin-orbit (SO) interaction on the formation of the critical states in thin superconducting films in magnetic field oriented along the film is investigated. Hereby, the case of interband pairing is considered. It was found that eight branches exist in the plane of two parameters [Formula: see text] determined by the value of magnetic field and SO interaction. Six modes leads to inhomogeneous states with different values of the impulse [Formula: see text]. Each state is doubly degenerate over direction of impulse [Formula: see text]. The parameter values at critical point are found for all eight branches in explicit form for zero temperature. The optimal two branches are estimated, corresponding to largest critical magnetic field value for given SO interaction.

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