Journal of Experimental and Theoretical Physics, volume 91, issue 3, pages 588-596
Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method
Publication type: Journal Article
Publication date: 2000-09-01
Quartile SCImago
Q3
Quartile WOS
Q4
Impact factor: 1.1
ISSN: 10637761, 10906509
General Physics and Astronomy
Abstract
A variational method is proposed to find the magnetic field dependence of the magnetization of type-II superconductors in the mixed state by a self-consistent technique. This model allows for suppression of the order parameter to zero at the centers of Abrikosov vortices and also for the magnetic field dependence of the order parameter. The results can be applied to the entire range of fields H c 1 ≤ H ≤ H c 2 for any values of the Ginzburg-Landau parameter 𝜅>1/2‾√. It is shown that in weak fields where κ ≫ 1 the behavior of the magnetization can be described exactly in the London approximation provided that the correct value of H c 1 is used. Near the second critical field this dependence shows good agreement with the well-known Abrikosov result. It is also shown that using the concept of isolated vortices and applying the principle of superposition of the fields and currents generated by these vortices to calculate the magnetization gives inaccurate quantitative results even in fairly weak fields. By going beyond these concepts, it was possible to allow more accurately for the influence of the vortex cores on the magnetization behavior in the intermediate range of fields H c 1 ≪H ≪ H c 2 and to identify the range of validity of various approximations used widely in the literature.
Citations by journals
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4
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Physical Review B
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4 publications, 36.36%
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JETP Letters
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2 publications, 18.18%
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Physica C: Superconductivity and its Applications
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Low Temperature Physics
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1 publication, 9.09%
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Superconductor Science and Technology
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1 publication, 9.09%
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Physics of the Solid State
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1 publication, 9.09%
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Bulletin of the Russian Academy of Sciences: Physics
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Bulletin of the Russian Academy of Sciences: Physics
1 publication, 9.09%
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4
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Citations by publishers
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4
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American Physical Society (APS)
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American Physical Society (APS)
4 publications, 36.36%
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Pleiades Publishing
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Pleiades Publishing
4 publications, 36.36%
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Elsevier
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Elsevier
1 publication, 9.09%
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American Institute of Physics (AIP)
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American Institute of Physics (AIP)
1 publication, 9.09%
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IOP Publishing
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IOP Publishing
1 publication, 9.09%
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3
4
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- We do not take into account publications that without a DOI.
- Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
- Statistics recalculated weekly.
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Pogosov V. V., Rakhmanov A. L., Kugel K. I. Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method // Journal of Experimental and Theoretical Physics. 2000. Vol. 91. No. 3. pp. 588-596.
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Pogosov V. V., Rakhmanov A. L., Kugel K. I. Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method // Journal of Experimental and Theoretical Physics. 2000. Vol. 91. No. 3. pp. 588-596.
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TY - JOUR
DO - 10.1134/1.1320095
UR - https://doi.org/10.1134%2F1.1320095
TI - Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method
T2 - Journal of Experimental and Theoretical Physics
AU - Pogosov, V V
AU - Kugel, K. I.
AU - Rakhmanov, A. L.
PY - 2000
DA - 2000/09/01 00:00:00
PB - Pleiades Publishing
SP - 588-596
IS - 3
VL - 91
SN - 1063-7761
SN - 1090-6509
ER -
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@article{2000_Pogosov,
author = {V V Pogosov and K. I. Kugel and A. L. Rakhmanov},
title = {Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method},
journal = {Journal of Experimental and Theoretical Physics},
year = {2000},
volume = {91},
publisher = {Pleiades Publishing},
month = {sep},
url = {https://doi.org/10.1134%2F1.1320095},
number = {3},
pages = {588--596},
doi = {10.1134/1.1320095}
}
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Pogosov, V. V., et al. “Magnetization of type-ii superconductors in the range of fields H c 1 ≤ H ≤ H c 2Variational Method.” Journal of Experimental and Theoretical Physics, vol. 91, no. 3, Sep. 2000, pp. 588-596. https://doi.org/10.1134%2F1.1320095.