Superconducting symmetry of three-dimensional $t$-$J$ model on simple cubic lattice

Details Superconducting symmetry of three-dimensional $t$-$J$ model on simple cubic lattice Superconducting symmetry of three-dimensional $t$-$J$ model on simple cubic lattice

2009-02-09

arxiv.org/abs/0902.1362v1

Physics

Condensed Matter

Superconductivity

4 pages, 4 figures

Scientific paper

Motivated by the finding of nearly isotropic superconductivity in $\mathrm{(Ba,K)Fe_2As_2}$, we use renormalized mean field theory to investigated the $t$-$J$ model on three-dimensional simple cubic lattice. A tunable anisotropic parameter is introduced to dictate the coupling on $z$ direction. The symmetry of the superconducting order is studied in detail. Calculation shows that for the isotropic case, pairing parameters on the three perpendicular directions have ${2/3}\pi$ phase shift to each other. However, when the interaction on $z$ direction is suppressed, the corresponding amplitude of the pairing parameter decreases rapidly, furthermore, two-dimensional d-wave state pairing is favored when the anisotropic rate less than 0.75.

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