I would appreciate if someone could recommend me good review literature on the density matrix renormalization group (DMRG) method, especially for magnetic systems.
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2 Answers
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- 2003: Book chapter by Karen Hallberg.
- 2004: Reviews of Modern Physics by Ulrich Schollwoeck (2818 current citations).
- 2006: Advances in Physics by Karen Hallberg.
- 2008: JCTN: by Gabriele De Chiara and co-workers.
- 2011: ARPC: by Garnet Chan and Sandeep Sharma (426 current citations).
- 2014: The European Physical Journal D by Sebastian Wouters and Dimitri Van Neck.
- 2014: IJQC by Takeshi Yanai and co-workers.
- 2015: JCP by Roberto Olivares-Amaya and co-workers.
There is also this website which attempts (seemingly very successfully!) to track every DMRG, MPS, TPS, MERA, and/or general Tensor Network paper ever.
answered May 6, 2020 at 2:16
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1$\begingroup$ I vote for 2004: Reviews of Modern Physics by Ulrich Schollwoeck, which is long but comprehensive. $\endgroup$ May 6, 2020 at 20:51
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$\begingroup$ Schollwöck is actually 2005, journals.aps.org/rmp/abstract/10.1103/RevModPhys.77.259 $\endgroup$ Jun 30, 2020 at 9:19
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$\begingroup$ 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. $\endgroup$ Jun 30, 2020 at 16:37
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There's two later review articles by Schollwöck that weren't in Nike's excellent list:
