• Superconducting gap anomaly in heavy fermion systems

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/070/04/0711-0730

• # Keywords

Heavy fermion superconductor; Narrow band system; Valence fluctuation.

• # Abstract

The heavy fermion system (HFS) is described by the periodic Anderson model (PAM), treating the Coulomb correlation between the 𝑓-electrons in the mean-field Hartree-Fock approximation. Superconductivity is introduced by a BCS-type pairing term among the conduction electrons. Within this approximation the equation for the superconducting gap is derived, which depends on the effective position of the energy level of the 𝑓-electrons relative to the Fermi level. The latter in turn depends on the occupation probability $n^{f}$ of the 𝑓-electrons. The gap equation is solved self-consistently with the equation for $n^{f}$; and their temperature dependences are studied for different positions of the bare 𝑓-electron energy level, with respect to the Fermi level. The dependence of the superconducting gap on the hybridization leads to a re-entrant behaviour with increasing strength. The induced pairing between the 𝑓-electrons and the pairing of mixed conduction and 𝑓-electrons due to hybridization are also determined. The temperature dependence of the hybridization parameter, which characterizes the number of electrons with mixed character and represents the number of heavy electrons is studied. This number is shown to be small. The quasi-particle density of states (DOS) shows the existence of a pseudo-gap due to superconductivity and the signature of a hybridization gap at the Fermi level. For the choice of the model parameters, the DOS shows that the HFS is a metal and undergoes a transition to the gap-less superconducting state.

• # Author Affiliations

1. Condensed Matter Physics Group, Government Science College, Chatrapur 761 020, India
2. Department of Physics, S.C.S. College, Puri 752 001, India
3. Physics Enclave, H.I.G. 23/1, Housing Board Phase-1, Chandrasekharpur, Bhubaneswar 751 016, India
4. Institute of Materials Science, Planetarium Building, Bhubaneswar 751 013, India

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019