2003/04/10 by Ernst Helmut Brandt · 4 citations
Materials Science · Physics and Astronomy · #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.68.054506
11 pages, 8 figures
arxiv created 2003/04/10 · openalex publication_date 2003/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The magnetization curves M(H) for ideal type-II superconductors and the maximum, minimum, and saddle-point magnetic fields of the vortex lattice are calculated from Ginzburg-Landau theory for the entire ranges of applied magnetic fields Hc1<~H<~Hc2 or induction 0<~B<~\ensuremathμ0Hc2 and Ginzburg-Landau parameters 2^\ensuremath-1/2<~\ensuremathκ<~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,\ensuremathκ) 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.