Lectures on the physics of highly correlated electron systems and high-Tc superconductors
438(1998); http://dx.doi.org/10.1063/1.56343View Description Hide Description
The establishment of d-wave superconductivity in hole-doped high- cuprates is perhaps the most important single event after the discovery of these systems by Bednorz and Müller in 1986. Here I recall first some basic properties of d-wave superconductors mostly based on the weak-coupling theory. Admittedly the weak-coupling cannot make any quantitative prediction. But I believe it is very important to know the applicability and the limit of the weak-coupling theory. I close this series of lectures with speculation where all these things are heading.
438(1998); http://dx.doi.org/10.1063/1.56341View Description Hide Description
The focus of these lectures will be to describe two very useful and complementary numerical techniques: the Lanczos method and Monte Carlo simulations and to apply them to relevant physical problems like high temperature superconductivity and colossal magnetoresistance.