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Ginzburg–Landau Theory for Magneto‐Elastic Interaction and Magnetization in Type‐II Superconductors
Author(s) -
Li Yingxu,
Kang Guozheng,
Gao Yuanwen
Publication year - 2018
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201800266
Subject(s) - condensed matter physics , physics , vortex , elasticity (physics) , superconductivity , magnetization , lattice (music) , type ii superconductor , ginzburg–landau theory , quantum mechanics , magnetic field , mechanics , acoustics , thermodynamics
The interaction between vortex and crystal lattice (periodic arrays of flux quantum and atoms) in type‐II superconductors is evaluated through Ginzburg–Landau theory. It is found that, in an isotropic crystal, the magneto‐elastic coupling energy counteracts the elasticity‐driven intervortex interaction energy. Thus, the elastic response is induced entirely by individual vortices taken separately. Furthermore, the strain in a vortex‐lattice cell decays quadratically with the distance from the vortex core, which allows a cutoff at the cell boundary. Finally, it could be concluded that if the jump in the elastic constant at H c 2is comparable to unity, the elasticity energy dominates the competition between the vortex lattice and crystal elasticity. This effect likely results in the second magnetization peak in the reversible magnetization.