Is the problem of Cuprate high-$T_c$ superconductivity a solved problem?
Abstract
The recent experimental verification of the charge-transfer superexchange mechanism as the microscopic pairing mechanism of high- cuprate superconductivity by Seamus Davis and collaborators\cite{sea} is a tour de force! The correct model for cuprates is the three band Emery model in which oxygen p-orbitals are explicitly taken into account. The doped holes go into these oxygen p-orbitals where they undergo charge-transfer superexchange with unpaired electrons in copper d orbitals. This charge transfer superexchange is the key which leads to bound pairs and superconductivity. In the experimental verification\cite{sea}, the system chosen is . What is achieved is the direct functional dependence of the local electron pair density () on local charge transfer energy () using state of the art single-electron and electron-pair (Josephson) scanning tunneling microscopy. The quantitative functional dependence of on matches with that indicated and deduced by theory\cite{t1,t2,t3,t4,t5,t6,t7,t8,t9,t10}. The verdict of the experiment settles the debates on the microscopic mechanisms of the cuprate superconductivity in the clear favor of charge-transfer superexchange mechanism. We discuss this development in brief, and present a simple minded approach to the essence of cuprate superconductivity. We discuss what is settled now, and what is not settled yet. A "theoretical minimum" of the high- problem is also discussed.
Cite
@article{arxiv.2211.00400,
title = {Is the problem of Cuprate high-$T_c$ superconductivity a solved problem?},
author = {Navinder Singh},
journal= {arXiv preprint arXiv:2211.00400},
year = {2022}
}
Comments
7 pages, 3 figures, minor typos corrected