Extended Ginzburg-Landau theory of superconductivity from generalized momentum operator and position-dependent mass

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F24%3A00616578" target="_blank" >RIV/60077344:_____/24:00616578 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.physb.2023.415526" target="_blank" >https://doi.org/10.1016/j.physb.2023.415526</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physb.2023.415526" target="_blank" >10.1016/j.physb.2023.415526</a>

Result language

angličtina

Original language name

Extended Ginzburg-Landau theory of superconductivity from generalized momentum operator and position-dependent mass

Original language description

The concept of generalized momentum operator which is motivated from the generalized uncertainty principle has been extensively investigated in quantum mechanics and various aspects of theoretical and applied physics. In this study, we have applied this formalism to Ginzburg-Landau theory of superconductvity and Abrikosov vortex lattice in type II-superconductors. After deriving the extended Ginzburg-Landau equations, we have discussed several independent structures of the auxiliary function of position operator in the generalized momentum operator and we have analyzed their features in both Ginzburg-Landau and London theories. Comparable properties to the basic formalism have been obtained even without the presence of the cubic nonlinear term in Ginzburg-Landau equations. However, not all structures of the auxiliary function of position operator result on the exclusion of the magnetic field from a superconductor when it's below its critical temperature. But, only specific forms may succeed to eliminate the magnetic field. This approach has been generalized by considered a position-dependent mass of the electric charge. Amazingly, for a position-dependent mass of hyperbolic solitonlike structure, the extended Ginzburg-Landau wave function is identical to the result obtained in the conventional formalism and besides, for specific correlations between the auxiliary function of the position operator and position-dependent mass, the exclusion of the magnetic field is conceivable. We have also discussed the Abrikosov vortex lattice solution based on the extended Ginzburg-Landau formalism with position-dependent mass of the electric charge. It was observed that, for a specific structure of the position-dependent mass and for a quantum number n = 0, a transition between a type-II and type-I superconductor takes place if the GinzburgLandau parameter is kappa = 1 1 + 257 approximate to 2.0634. For large n, the problem depends on the asymptotic form of the Hermite polynomial and periodicity occurs if the electric charge is quantized. Further details are obtained and analyzed.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physica B-Condensed Matter

ISSN

0921-4526

e-ISSN

1873-2135

Volume of the periodical

674

Issue of the periodical within the volume

Nov

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

11

Pages from-to

415526

UT code for WoS article

001129936200001

EID of the result in the Scopus database

2-s2.0-85178662680