Abstract
The phase diagram for a t-J bilayer as a function of interplanar hopping, t⊥ and hole concentration, x is presented for a few different values of interplanar exchange, J⊥ using variational Monte Carlo calculations. The phase diagram shows rich features, such as a coexistence of antiferromagnetism and superconductivity at underdoping, planar (d-wave) and interplanar (dz-wave) superconducting correlations for small and large J⊥, respectively at optimal and overdoping. Another unusual feature appears in the form of a dome shaped structure in the phase diagram where the superconducting correlations are initially assisted as interplanar hopping is enhanced for small t⊥, while larger t⊥ is found to be detrimental to superconductivity.
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