Abstract
Motivated by the superconducting properties of the metallic oxideCd2Re2O7, whose crystal structure is of the pyrochlore type, we propose an electronic model on acheckerboard lattice, which can be viewed as a two-dimensional analog of thepyrochlore lattice. Including only charge degrees of freedom, we treat the model via aBardeen–Cooper–Schrieffer (BCS) approximation, decoupling the interaction terms in realspace. Going over to reciprocal space yields a BCS model with two coupled bands.Characteristic properties such as order parameters and specific heat as functionsof temperature are obtained. We also discuss the symmetry properties of thesuperconducting gap in wavevector space and the behavior of the critical temperature as afunction of the electronic doping for various values of the interaction strength.
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