24
votes
Accepted
Is there any good review paper on the density matrix renormalization group (DMRG) method?
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 ...
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11
votes
Is python sufficient for serious tensor network or DMRG calculations?
There probably are good Python bindings to various DMRG implementations, which allow one to run DMRG from Python. Since the implementations typically rely on lower-level C/C++/Fortran routines, the ...
- 14.6k
9
votes
Is python sufficient for serious tensor network or DMRG calculations?
I would argue that you can use a package like DMRG++, which is written in C++, without knowing much C/C++ or indeed any language. It has its own input format that takes some getting used to (...
- 4,238
8
votes
Is python sufficient for serious tensor network or DMRG calculations?
I've heard people talking about working on tensor networks for electronic structure since the 2000s, but here in the 2020s I'm aware of no code that can help me solve the problems in which I'm ...
- 28.6k
7
votes
Is python sufficient for serious tensor network or DMRG calculations?
For 1D spin Hamiltons it is perfectly doable even if you code from scratch. NumPy should be sufficient. I have written DMRG codes in both Julia and python and I see no difference, this is also due to ...
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6
votes
Is there any good review paper on the density matrix renormalization group (DMRG) method?
There's two later review articles by Schollwöck that weren't in Nike's excellent list:
2011: Phil. Trans. R. Soc. A (2011) 369, 2643–2661
2011: Annals of Physics 326 (2011) 96–192
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5
votes
What are the types of DMRG?
p-DMRG
Perturbatively corrected DMRG by Sheng Guo, Zhendong Li, and Garnet Chan (in 2018).
Motivation: DMRG scales poorly with respect to the number of basis functions. the above paper says that DMRG'...
- 28.6k
4
votes
Accepted
iDMRG: are there subtle ways that finite-size effects creep in?
The iDMRG algorithm is tailored for translationally invariant 1D systems with area law ground states (gapped states). If that's what you're interested in, iDMRG is hard to beat for accuracy, assuming ...
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