Why magnesium diboride is not described by anisotropic Ginzburg-Landau theory

Details Why magnesium diboride is not described by anisotropic Ginzburg-Landau theory Why magnesium diboride is not described by anisotropic Ginzburg-Landau theory

2004-01-19

arxiv.org/abs/cond-mat/0401339v1

Phys. Rev. Lett., 92, 107008 (2004)

Physics

Condensed Matter

Superconductivity

4 pages, 2 fugures, Subm. Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.92.107008

It is well established that the superconductivity in the recently discovered superconducting compound MgB$_{2}$ resides in the quasi-two-dimensional band ($\sigma$-band) and three-dimensional band ($\pi$-band). We demonstrate that, due to such band structure, the anisotropic Ginzburg-Landau theory practically does not have region of applicability, because gradient expansion in the $c$ direction breaks down. In the case of dirty $\pi$-band we derive the simplest equations which describe properties of such superconductors near $T_{c}$ and explore some consequences of these equations.

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