Energy bandstructures of MgB2 and the related compounds

Details Energy bandstructures of MgB2 and the related compounds Energy bandstructures of MgB2 and the related compounds

2002-01-25

arxiv.org/abs/cond-mat/0201452v1

Physica C 378-381 (2002) 18-24

Physics

Condensed Matter

Superconductivity

9 pages, 9 figures, Accepted for publication in Physica C (the ISS2001 Proceedings)

Scientific paper

10.1016/S0921-4534(02)01375-8

Energy band structures are calculated for the new superconductor MgB$_2$ and the related compounds by using the LDA and an FLAPW method. It is found that the strong three dimensional network in low-lying $\pi$ bands brings about two dimensional $\sigma$ holes in MgB$_2$, which should be responsible for the superconductivity. The de Haas-van Alphen frequencies and the cyclotron masses are obtained for the Fermi surfaces. The $\sigma$ hole is not found in LiBC due to the less three dimensional network. MgB$_2$C$_2$ is found a semiconductor, but the top of the valence bands are similar to the $\sigma$ bands in MgB$_2$. The total energy calculations are also performed for Mg$_{1-x}$Al$_x$B$_2$ to investigate the structural phase instability, experimentally observed around $x=$10%.

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