Unconventional Pairing in Doped Band Insulators on a Honeycomb Lattice : the Role of the Disconnected Fermi Surface and a Possible Application to Superconducting $β$-MNCl (M=Hf,Zr)

Physics – Condensed Matter – Superconductivity

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12 pages, 11 figures, in proceedings of the International Workshop on Superconductivity in Diamond and Related Materials 2008

Scientific paper

We investigate the possibility of realizing unconventional superconductivity in doped band insulators on the square lattice and the honeycomb lattice, where the latter is found to be a good candidate due to the disconnectivity of the Fermi surface. We propose applying the theory to the superconductivity in doped layered nitride $\beta$-$M$NCl ($M=$Hf, Zr). Finally, we compare two groups of superconductors with disconnected Fermi surface, $\beta$-$M$NCl and the iron pnictides, which have high $T_c$ despite some faults against superconductivity are present.

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