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@ARTICLE{Pavarini:902638,
      author       = {Pavarini, Eva},
      title        = {{S}olving the strong-correlation problem in materials},
      journal      = {Rivista del nuovo cimento},
      volume       = {44},
      number       = {11},
      issn         = {0035-5917},
      address      = {Bologna},
      publisher    = {SIF},
      reportid     = {FZJ-2021-04433},
      pages        = {597 - 640},
      year         = {2021},
      abstract     = {This article is a short introduction to the modern
                      computational techniques used to tackle the many-body
                      problem in materials. The aim is to present the basic ideas,
                      using simple examples to illustrate strengths and weaknesses
                      of each method. We will start from density-functional theory
                      (DFT) and the Kohn–Sham construction—the standard
                      computational tools for performing electronic structure
                      calculations. Leaving the realm of rigorous
                      density-functional theory, we will discuss the established
                      practice of adopting the Kohn–Sham Hamiltonian as
                      approximate model. After recalling the triumphs of the
                      Kohn–Sham description, we will stress the fundamental
                      reasons of its failure for strongly-correlated compounds,
                      and discuss the strategies adopted to overcome the problem.
                      The article will then focus on the most effective method so
                      far, the DFT+DMFT technique and its extensions.
                      Achievements, open issues and possible future developments
                      will be reviewed. The key differences between dynamical
                      (DFT+DMFT) and static (DFT+U) mean-field methods will be
                      elucidated. In the conclusion, we will assess the apparent
                      dichotomy between first-principles and model-based
                      techniques, emphasizing the common ground that in fact they
                      share.},
      cin          = {IAS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-3-20090406},
      pnm          = {5215 - Towards Quantum and Neuromorphic Computing
                      Functionalities (POF4-521)},
      pid          = {G:(DE-HGF)POF4-5215},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000673387500001},
      doi          = {10.1007/s40766-021-00025-8},
      url          = {https://juser.fz-juelich.de/record/902638},
}