How to solve a quantum many body problem

Introduction Quite a bit of time passed since my last post on this blog. I had a visit to the sunny Spain, I switched to a double-surface hang glider and I had to take a little care of my firm. Despite those things, I did a little bit of work for the blog, but it … Read more

The Numerical Renormalization Group

Introduction Finally here1 it is. A simple (relatively) program implementing the Numerical Renormalization Group. I tried to implement it as simple as possible to be easy to understand. Here is the program in action, running an Anderson model at half-filling: I already used charts generated by the program in The Kondo Effect and Renormalization Groups … Read more

Renormalization Groups

Introduction This is another introductory post leading towards a numerical renormalization group program. I thought I should expose some generalities before presenting the numerical renormalization group method and the program that implements it. It’s mostly a collection of links rather than a detailed description. Some links I already supplied a link at the end of … Read more

Quantum Dots

Introduction This post is a continuation of the one on the Kondo effect1 and is leading towards one presenting the numerical renormalization group and a simple program that implements it. I won’t insist much on details about the quantum dots, but I thought I should mention them because the numerical method is widely used to … Read more

The Kondo Effect

Introduction I’ve decided to post several pages about theory before presenting a program, to avoid having long posts that nobody has patience to read. I’ll refer to those posts for details when presenting a program. This post starts a series of posts that will lead to a Numerical Renormalization Group program. A relatively simple one, … Read more