II.1 Magnesium diboride and the two-band scenario
We investigate two-band superconductivity in ultrasmall grain. The Richardson’s exact solution is extended to two-band systems, and a new coupled equation is derived according to the procedure of Richardson’s works. Parity gap and condensation energy of ultrasmall two-band superconducting grain are numerically obtained by solving the coupled equations. We discuss these properties in ultrasmall grain in relation to the correlation, interband interaction, and size dependence.
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