Perturbation theory of superconducting micronetworks near the phase-transition boundary

Journal Article · Tue Nov 01 04:00:00 EST 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.8767· OSTI ID:6732053

Fink, H J; Rodrigues, D; Lopez, A

A perturbation theory for micronetworks is developed which is valid near the second-order phase boundary. Perturbation equations to general order in terms of the nodal order parameter are derived. Explicit corrections to first order in temperature T and magnetic flux phi are obtained from the latter equations. This scheme is then applied to the infinite ladder. Stability limits in terms of the Gibbs free energy are derived for different spatial vortex solutions. Furthermore, the shielding currents of the ladder for chemically bondphichemically bond<0.21phi/sub 0/ are calculated (phi/sub 0/ is the fluxoid quantum) near the phase boundary as a function of ..delta..T and ..delta..phi and are compared to our numerical solutions of the nonlinear Ginzburg-Landau equations. The agreement is very good. Similarly, very good agreement is obtained for the order parameter near phi = 0.5phi/sub 0/. Expressions for magnetization, differential susceptibility, entropy difference, and specific-heat jump near the phase-transition boundary of the ladder are derived.

• Research Organization: Department of Electrical Engineering and Computer Science, University of California, Davis, Davis, California 95616
• OSTI ID: 6732053
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:13; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
GINZBURG-LANDAU THEORY
MAGNETIC FLUX
MAGNETIZATION
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PERTURBATION THEORY
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SUPERCONDUCTIVITY
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE