Magnetic Structures in Pure Type-II Superconductors

概要

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The solution of the Gor'kov equations for Green functions is shown to have the same translational symmetry properties in the whole region of mixed states H_c_1<H<H_c_2 as the Abrikosov solution of the Ginzburg-Landau equation at T〜T_c. This is the first theoretical proof of periodic structure of flux line lattice in the whole region. The flux is shown to be always quantized. With the help of the symmetry, the diagonal Green function is developed in a Fourier series with respect to spatial variation, each coefficient being a function of relative coordinate. The magnetic field and the off-diagonal Green function are similarly expanded. Equations for the Fourier coefficients are derived. Relations with the Ginzburg-Landau and the Brandt-Pesch-Tewordt theories are clarified. We may be able to truncate the Fourier series retaining only a few components with lower indices, since the neutron experiments have shown that those with higher indices are quite small.
理論物理学刊行会の論文
1973-10-25