Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides

Abstract

We study the pairing symmetry of a two orbital $J_1-J_2$ model for FeAs layers in oxypnictides. We vary the doping and the value of $J_1$ and $J_2$ to compare all possible pairing symmetries in a mean-field calculation. We show that the mixture of an intra-orbital unconventional $s_{x^2{y}^2}\sim \cos (k_x)\cos (k_y)$ pairing symmetry and a $d_{x^2-y^2}\sim \cos (k_x)-\cos (k_y)$ pairing symmetry is favored in a large part of $J_1-J_2$ phase diagram. A pure $s_{x^2{y}^2}$ pairing state is favored for $J_2>>J_1$. The signs of the $d_{x^2-y^2}$ order parameters in two different orbitals are opposite. While a small $d_{xy}\sim \sin (k_x)\sin (k_y)$ inter-orbital pairing order coexists in the above phases, the intra-orbital $d_{xy}$ pairing symmetry is not favored even for large values of $J_2$.

4 pages

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