Strong-coupling theory of high-temperature superconductivity

By A. S. Alexandrov. 2005

200 citations recorded by the source corpus.

The observation of high-temperature superconductivity in complex layered cuprates by Bednorz and Muller must now rate as one of the greatest experimental discoveries of the last century. Identifying and understanding the microscopic origin of high-temperature superconductivity stands as one of the greatest theoretical challenges of this century. These lectures describe an approach, based on the extension of the BCS theory to the strong-coupling regime with small polarons and bipolarons. We discuss the canonical Migdal-Eliashberg theory of strongly coupled electrons and phonons (or any bosons) and its breakdown in the strong-coupling regime. Then, starting from the dynamic properties of a single polaron, we show how the multi-polaron problem is reduced to a weakly interacting charged Bose gas. Finally we discuss a few recent applications of the bipolaron theory to cuprates, in particular the essential interaction in oxides, the parameter-free expression for the superconducting critical temperature, upper c...

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/df2abd2ab68cd46d95742c6e6eb4b530201ece87

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In Condensed Matter Physics

1. Yang Ding
2. Lin Wang
3. Bing Li
4. H. Mao
5. Xiao-Jia Chen
6. P. Hirschfeld
7. Sylvia Serfaty
8. Etienne Sandier

In Electronic, Optical and Magnetic Materials

1. Yang Ding
2. Lin Wang
3. Bing Li
4. H. Mao
5. Xiao-Jia Chen
6. P. Hirschfeld

Citations in the corpus

• Solids, liquids, and gases under high pressure (2018, background): “An exception is Tl2Ba2CuO6þδ, which has negative dTc/dP from the optimal to the overdoped regime (Schilling, 2006).”
• Defects in correlated metals and superconductors (2007, background): “33b. Formally, this choice of mean field parameters corresponds to the flux phase of (Affleck and Marston, 1988).”
• Superconductivity at 41 K and its competition with spin-density-wave instability in layered CeO1-xFxFeAs. (2008, background): “First, the T c value has already reached the well-accepted limit value of classic BCS theory[3, 4].”