Properties of the ideal Ginzburg-Landau vortex lattice

By E. Brandt. 2003

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The magnetization curves M(H) for ideal type-II superconductors and the maximum, minimum, and saddlepoint magnetic fields of the vortex lattice are calculated from Ginzburg-Landau theory for the entire ranges of applied magnetic fields H c 1 ≤H≤H c 2 or induction 0≤B≤μ 0 H c 2 and Ginzburg-Landau parameters 2 - 1 / 2 ≤κ≤1000. Results for the triangular and square flux-line lattices are compared with the results of the circular cell approximation. The exact magnetic field B(x,y) and magnetization M(H,κ) are compared with often used approximate expressions, some of which deviate considerably or have limited validity. Useful limiting expressions and analytical interpolation formulas are presented.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/691632b64341246388ddeefa26520c1eab0649ee