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arXiv · 0902.1362

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

Abstract

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 ${2/3}π$ 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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Huai-Xiang Huang, YouQuan Li. 2009-02-09. Superconducting symmetry of three-dimensional $t$-$J$ model on simple cubic lattice. https://arxiv.org/abs/0902.1362

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