Some properties of the ideal Ginzburg–Landau vortex lattice

Abstract

Some features of the vortex lattice in ideal type-II superconductors are calculated from Ginzburg–Landau theory for the entire ranges of applied magnetic fields H c2⩽ H⩽ H c2 or induction 0⩽ B⩽ μ 0 H c2 and Ginzburg–Landau parameters κ⩾2 −1/2. 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 and fitting expressions are presented.