Magnetostriction of a superconductor: Results from the critical-state model

Abstract

In many cases, the critical-state theory can be treated as a suffi ciently accurate approximation for the modelling of the magnetic properties of superconductors. In the present work, the magnetostrictive hysteresis is computed for a quite general case of the modified KimAnderson model. The results obtained reproduce many features of the giant magnetostriction (butterfly-shaped curves) reported in the literature for measurements made on single-crystal samples of the hightemperature superconductor Bi 2 Sr 2 CaCu 2 O 8 . It is shown that addition of a contribution to the magnetostriction in the superconducting state which is of similar origin as in the normal state, offers a broader phenomenological interpretation of the complex magnetostriction hysteresis found in such heavy-fermion compounds as U P t 3 , U Ru 2 Si 2 or U Be 13 .

Coexistence of critical and normal state magnetostrictions in type II superconductors: A model exploration

“…The success achieved by critical state descriptions of a large variety of magnetostriction curves provides strong support for this framework. Exploiting this picture they reproduced all of the features of a family of magnetostriction curves reported by Chabanenko et al 15 Measurements by several workers [23][24][25][26][27] show the presence of a normal state B 2 dependent component in the magnetostriction of type II superconductors near and above H C2 Koziol and Dunlap 28 have examined the effect of such a normal state contribution to the magnetostriction of type II superconductors in the framework of the critical state model. [13][14][15][16][17] Workers have also observed humps at high fields in magnetostriction curves corresponding to the peak or fishtail effect encountered in the magnetization of type II superconductors.…”

Flux-pinning-induced stress and magnetostriction in bulk superconductors

“…The absence of a peak in the Kim model magnetostriction has already been pointed out in [76], where detailed calculations based on equation ( 5) can be found. Calculations using a generalized Kim model have also been reported [77]. It is also worth noticing that, irrespective of the particular J c (B) model, the initial part of the ascending field branch (virgin curve) is always parabolic and described by…”

AC Loss and Magnetostriction of Anisotropic High-Temperature Superconductors Under Electro-Magnetic-Thermal Coupling Effect

“…Ikuta et al [1] first proposed the magnetostriction of hightemperature superconductors caused by flux pinning and also developed a quantitative model of magnetostriction of superconducting plates by analyzing the experimental findings. Koziol et al [2] tested the magnetostriction of a single crystal sample of Bi 2 Sr 2 CaCu 2 O 8 through experiments and explained the magnetostriction properties present in the superconductor using a modified Kim-Anderson model. Nabialek et al [3] proposed a model that can effectively simulate isotropy high-temperature superconductors by approximate simplification and studied the magnetostriction caused by flux pinning in some specially shaped superconducting samples.…”