Temperature dependence of fluxoid quantizationin a superconducting hollow cylinder

Journal Article · Mon Sep 01 04:00:00 EDT 1980 · Phys. Rev., B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.22.2289· OSTI ID:5092595

Fink, H J; Gruenfeld, V

Using the Ginzburg-Landau theory the magnetic response of a long hollow cylinder is calculated. Emphasis is placed on the magnetic properties as a function of temperature in a constant applied magnetic field. The only restriction is that the wall thickness is less than twice the temperature-dependent coherence length. The penetration depth is of arbitrary value as are the cylinder radius and wall thickness. The fluxoid is quantized. In the limit that the order parameter approaches zero, we obtain the quasiperiodic magnetic-field--temperature phase boundary between the normal and superconducting states. This boundary is either a second-order phase transition or a supercooling boundary. The dividing point between the two, the Landau critical point, was derived and investigated for arbitrary values of the fluxoid quantum number. The latter does not always exist for arbitrary cylinder dimensions and quantum numbers. A consequence of the appearance of a supercooling boundary is a superheating boundary which was obtained numerically from the nonlinear equations. The latter may exist, in particular for larger fluxoid quantum numbers, at a temperature beyond that of the maximum supercooling temperature. Agreement of our results with published experiments is found to be good.

• Research Organization: Centro Atomico Bariloche, Comision Nacional de Energia Atomica, and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 S. C. de Bariloche (R.N.) Argentina
• OSTI ID: 5092595
• Journal Information: Phys. Rev., B: Condens. Matter; (United States), Journal Name: Phys. Rev., B: Condens. Matter; (United States) Vol. 22:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656102* -- Solid State Physics-- Superconductivity-- Acoustic
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
CYLINDRICAL CONFIGURATION
FLUX QUANTIZATION
GINZBURG-LANDAU THEORY
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
TUBES