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Specific heat jump in two-band superconductors

Physica C Superconductivity
Publication Date
DOI: 10.1016/s0921-4534(01)00739-0
  • Superconductivity
  • Hybridization
  • Specific Heat Jump
  • Physics


Abstract We discuss the effect of k-dependent hybridization in the specific heat jump ΔC at the superconducting critical temperature T c, considering an exact analytical expression obtained from the extended BCS gap equation. Our model intends to discuss a superconducting material described by a two-band model, within an extended BCS picture. We consider a broad s–p conducting band, hybridized with a narrow d-band, assuming that: (i) electron–electron repulsion U r, formulated via the Hubbard model and (ii) electron–electron attraction due to electron–“fonon” interaction U a, treated in a BCS framework, both occur at the narrow d-band. One observes that there is a critical value V c for the hybridization (depending on the ratio α of the effective masses of the narrow and broad bands), above which there is no ΔC jump. Moreover, one observes that: (i) the ratio α of the effective band masses in a homothetic band picture plays an important role in the jump, and (ii) the Hubbard like repulsive interaction is very small and therefore plays no significant role in the range of temperatures where superconductivity occurs.

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