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Open AccessArticle

Multi-Band Superconductivity and the Steep Band/Flat Band Scenario

1
Max-Planck-Institute for Solid State Research, Heisenbergstr. 1, D-70569 Stuttgart, Germany
2
Physik-Institute of the University of Zürich, University of Zürich, Winterthurerstr. 190, CH-8057 Zürich, Switzerland
3
RICMASS, Rome International Center for Materials Science Superstripes, Via dei Sabelli 119A, I-00185 Rome, Italy
4
Institute of Crystallography, Consiglio Nazionale delle Ricerche, IC-CNR, I-00015 Monterotondo, Roma, Italy
5
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(4), 91; https://doi.org/10.3390/condmat4040091
Received: 30 October 2019 / Revised: 19 November 2019 / Accepted: 23 November 2019 / Published: 27 November 2019
(This article belongs to the Special Issue From cuprates to Room Temperature Superconductors)
The basic features of multi-band superconductivity and its implications are derived. In particular, it is shown that enhancements of the superconducting transition temperature take place due to interband interactions. In addition, isotope effects differ substantially from the typical BCS scheme as soon as polaronic coupling effects are present. Special cases of the model are polaronic coupling in one band as realized e.g., in cuprates, coexistence of a flat band and a steep band like in MgB2, crossovers between extreme cases. The advantages of the multiband approach as compared to the single band BCS model are elucidated and its rather frequent realization in actual systems discussed.
Keywords: high temperature superconductivity; polaron formation; isotope effects; multi-band superconductivity high temperature superconductivity; polaron formation; isotope effects; multi-band superconductivity
MDPI and ACS Style

Bussmann-Holder, A.; Keller, H.; Simon, A.; Bianconi, A. Multi-Band Superconductivity and the Steep Band/Flat Band Scenario. Condens. Matter 2019, 4, 91.

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