Strongly interacting $σ$-electrons and MgB$_2$ superconductivity

Details Strongly interacting $σ$-electrons and MgB$_2$ superconductivity Strongly interacting $σ$-electrons and MgB$_2$ superconductivity

2001-09-19

arxiv.org/abs/cond-mat/0109347v1

Physics

Condensed Matter

Superconductivity

8 pages, 4 figures

Scientific paper

10.1016/S0038-1098(01)00351-9

MgB$(p^{n_{\sigma}}p^{n_{\pi}})_{2}$ is classified as a system with strongly interacting $\sigma$-electrons and non-correlated $\pi$-electrons of boron ions. The kinematic and Coulomb interaction V between the orbitally degenerated $\sigma$-electrons provide the superconducting state with an anisotropic gap of s*-wave symmetry. The critical temperature $T_c$ has a non-monotonic dependence on the distance r between the centers of gravity of $\sigma$- and $\pi$-bands. MgB$_2$ corresponds to r=0.085 eV and V=0.45 eV in our model with flat bands. The derived superconducting density of electronic states is in good agreement with available experimental and theoretical data. The possibilities for increasing $T_c$ are discussed.

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