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Heat capacity and density of states of a normal-metal—superconductor bilayer

1982; American Physical Society; Volume: 25; Issue: 9 Linguagem: Inglês

10.1103/physrevb.25.5729

1095-3795

M. P. Zaitlin,

Advanced Chemical Physics Studies

The Bogoliubov equation is solved for the case of a normal metal of thickness ${a}_{n}$ in contact with a superconductor of thickness ${a}_{s}$. The excitation energies and density of states are calculated for energies both less than and greater than the pair potential ${\ensuremath{\Delta}}_{s}$ in the superconductor. These results are used to calculate numerically the heat capacity of the bilayer as a function of temperature. As the thicknesses become large, the heat capacity approaches the value which would be present in the absence of a proximity effect. For layers less than a coherence length the heat capacity approaches that of a homogeneous superconductor with an effective pair potential determined by the volume average of the pair potential in the bilayer.