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)

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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 $β$-$M$NCl ($M=$Hf, Zr). Finally, we compare two groups of superconductors with disconnected Fermi surface, $β$-$M$NCl and the iron pnictides, which have high $T_c$ despite some faults against superconductivity are present.
12 pages, 11 figures, in proceedings of the International Workshop on Superconductivity in Diamond and Related Materials 2008

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