I would appreciate if someone could recommend me good review literature on the density matrix renormalization group (DMRG) method, especially for magnetic systems.


There is also this website which attempts (seemingly very successfully!) to track every DMRG, MPS, TPS, MERA, and/or general Tensor Network paper ever.

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    $\begingroup$ I vote for 2004: Reviews of Modern Physics by Ulrich Schollwoeck, which is long but comprehensive. $\endgroup$ – Yingzhou Li May 6 '20 at 20:51
  • $\begingroup$ Schollwöck is actually 2005, journals.aps.org/rmp/abstract/10.1103/RevModPhys.77.259 $\endgroup$ – Susi Lehtola Jun 30 '20 at 9:19
  • $\begingroup$ on arXiv it says "accepted by Rev. Mod. Phys. in July 2004; scheduled to appear in the January 2005 issue". Perhaps I can change my answer so that it says 2005, but one should know that this review covers only material up to 2004. $\endgroup$ – Nike Dattani Jun 30 '20 at 16:37

There's two later review articles by Schollwöck that weren't in Nike's excellent list:


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