Perturbative solutions of the Ginzburg-Landau equation and the superconducting parameters

Journal Article · Wed Jan 31 23:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.53.2229· OSTI ID:278688

Rezlescu, N ^[1]; Agop, M ^[2]; Buzea, C; Buzea, C G ^[1]

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1. Superconductivity Research Laboratory, Institute of Technical Physics, B-dul Mangeron 47, Iasi (Romania)
2. Department of Physics, Technical Gh. Asachi University, Iasi (Romania)

Using the modulus-{ital s} of the elliptic function sn({theta},{ital s}) as a parameter of nonlinearity we construct the perturbative solutions of the Ginzburg-Landau equation in the presence of spatial gradients. The resulted analytical expressions describe the temperature dependence of the superconducting parameters, except the {ital s}{r_arrow}1 limit. The analytical expressions which led to the temperature dependence of the superconducting parameters as the coherence length {xi}({ital t}), the superconducting charge carriers concentration {ital n}{sub {ital s}}({ital t}), the penetration depth {lambda}({ital t}), and the thermodynamic critical field {ital H}{sub {ital c}}({ital t}) are found. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278688
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 5 Vol. 53; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
COHERENCE LENGTH
CRITICAL FIELD
GINZBURG-LANDAU THEORY
PENETRATION DEPTH
PERTURBATION THEORY
SUPERCONDUCTIVITY
TEMPERATURE DEPENDENCE