DMRG

Basic Concepts

• Steven White
• Brief Introduction of DMRG
• Kondo Problem and Wilsonian Renormalization Group
• Wilson Approach of NRG to Kondo Problem
• Verstraete, F., Nishino, T., Schollwöck, U. et al. Density matrix renormalization group, 30 years on. Nat Rev Phys 5, 273–276 (2023). https://doi.org/10.1038/s42254-023-00572-5
• Catarina, G., Murta, B. Density-matrix renormalization group: a pedagogical introduction. Eur. Phys. J. B 96, 111 (2023). https://doi.org/10.1140/epjb/s10051-023-00575-2

Numerical Architechture

• TeNPy

Examples

• 1D XXZ Model
• 1D Fermi-Hubbard Model

Extensions

• Momentum-space DMRG