Critical fields of a superconducting cylinder

• Authors: G. Zharkov
• Languages of publication: EN

Abstracts

EN

The self-consistent solutions of the nonlinear Ginzburg-Landau equations, which describe the behavior of a superconducting mesoscopic cylinder in an axial magnetic field H (provided there are no vortices inside the cylinder), are studied. Different, vortex-free states (M-, e-, d-, p-), which exist in a superconducting cylinder, are described. The critical fields (H
1, H
2, H
p, H
i, H
r), at which the first or second order phase transitions between different states of the cylinder occur, are found as functions of the cylinder radius R and the GL-parameter
$$\kappa $$
. The boundary
$$\kappa _c (R)$$
, which divides the regions of the first and second order (s, n)-transitions in the icreasing field, is found. It is found that at R→∞ the critical value, is
$$\kappa _c = 0.93$$
. The hysteresis phenomena, which appear when the cylinder passes from the normal to superconducting state in the decreasing field, are described. The connection between the self-consistent results and the linearized theory is discussed. It is shown that in the limiting case
$$\kappa \to {1 \mathord{\left/ {\vphantom {1 {\sqrt 2 }}} \right. \kern-\nulldelimiterspace} {\sqrt 2 }}$$
and R ≫ λ (λ is the London penetration length) the self-consistent solution (which correponds to the socalled metastable p-state) coincides with the analitic solution found from the degenerate Bogomolnyi equations. The reason for the existence of two critical GL-parameters
$$\kappa _0 = 0.707$$
and
$$\kappa _0 = 0.93$$
in, bulk superconductors is discussed.

Keywords

EN

GL-equations; critical fields; hysteresis; 74.25.-q; 74.25. Dw

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2004
• Volume: 2
• Issue: 1
• Pages: 220-240

Dates

published

1 - 3 - 2004

online

1 - 3 - 2004

Contributors

author

G. Zharkov

• P.N. Lebedev Physical Institute, Russian Academy of Sciences, Leninsky pr., 53, 119991, Moscow, Russia

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Identifiers

DOI

10.2478/BF02476282