Additional information on DMRG

Below is an incomplete list of resources for learning DMRG.

References

• “An introduction to numerical methods in low-dimensional quantum systems” by A. L. Malvezzi (2003) teaches DMRG concisely but in enough detail to understand the simple-dmrg code.
• U. Schollwöck has written two review articles on DMRG. The first (from 2005) focuses on DMRG in its traditional formulation, while the second (from 2011) describes it in terms of matrix product states.
• Steve White’s papers, including the original DMRG paper (1992), a more in-depth paper (1993) which includes (among other things) periodic boundary conditions, and a later paper (1996) which describes eigenstate prediction, are quite useful.

Links

• The dmrg101 tutorial by Iván González, was prepared for the Taipai DMRG winter school.
• sophisticated-dmrg, a more “sophisticated” program based on this tutorial.