Weak-Coupling Theory for Multiband Superconductivity Induced by Jahn-Teller Phonons

Details Weak-Coupling Theory for Multiband Superconductivity Induced by Jahn-Teller Phonons Weak-Coupling Theory for Multiband Superconductivity Induced by Jahn-Teller Phonons

2010-03-27

arxiv.org/abs/1003.5274v1

J. Phys. Soc. Jpn. 79, 023709 (2010).

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures.

Scientific paper

10.1143/JPSJ.79.023709

Emergence of superconductivity in a two-band system coupled with breathing and Jahn-Teller phonons is discussed in a weak-coupling limit. With the use of a standard quantum mechanical procedure, the phonon-mediated attraction is derived. From the analysis of the model including such attraction, a BCS-like formula for a superconducting transition temperature $T_{\rm c}$ is obtained. When only the breathing phonon is considered, $T_{\rm c}$ is the same as that of the one-band model. On the other hand, when Jahn-Teller phonons are active, $T_{\rm c}$ is significantly enhanced by the interband attraction even within the weak-coupling limit. Relevance of the present result to actual materials such as iron pnictides is briefly commented.

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