Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory (Review Article)

• Published in: Физика низких температур
• Date: 2006
• Main Authors: Tremblay, A.-M.S., Kyung, B., Sénéchal, D.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Subjects: Pseudogap
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/120193
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pseudogap and high-temperature superconductivity from
 weak to strong coupling. Towards quantitative theory
 (Review Article) / A.-M.S. Tremblay, B. Kyung, D. Sénéchal // Физика низких температур. — 2006. — Т. 32, № 4-5. — С. 561–595. — Бібліогр.: 159 назв. — англ.

This is a short review of the theoretical work on the two-dimensional Hubbard model
 performed in Sherbrooke in the last few years. It is written on the occasion of the twentieth
 anniversary of the discovery of high-temperature superconductivity. We discuss several approaches,
 how they were benchmarked and how they agree sufficiently with each other that we can
 trust that the results are accurate solutions of the Hubbard model. Then comparisons are made
 with experiment. We show that the Hubbard model does exhibit d-wave superconductivity and
 antiferromagnetism essentially where they are observed for both hole and electron-doped cuprates.
 We also show that the pseudogap phenomenon comes out of these calculations. In the case of
 electron-doped high temperature superconductors, comparisons with angle-resolved photoemission
 experiments are nearly quantitative. The value of the pseudogap temperature observed for these
 compounds in recent photoemission experiments has been predicted by theory before it was
 observed experimentally. Additional experimental confirmation would be useful. The theoretical
 methods that are surveyed include mostly the two-particle self-consistent approach, variational
 cluster perturbation theory (or variational cluster approximation), and cellular dynamical meanfield
 theory.