Effect of Band Structure on the Symmetry of Superconducting States

Abstract

Effects of the band structure on the symmetry of superconducting (SC) states are studied. For a square lattice system with a nearest-neighbor attractive interaction, SC states with various symmetries are found by changing the band structure, or, the shape of the Fermi surface. The spin-triplet ($(p_x+i{p}_y)$-wave) and spin-singlet ($d$- or s-wave) SC states, and states with their coexistence ($d+i{p}_y$, $s+i{p}_y$) can be stabilized within the same type of interaction. The stability of interlayer-pairing states with line nodes is also examined, and its relation to the SC state of Sr${}_2$RuO${}_4$ is discussed.

4 pages, 4 figures

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