Introduction to quantum Monte Carlo simulations for fermionic systems

@article{Santos2003IntroductionTQ,
  title={Introduction to quantum Monte Carlo simulations for fermionic systems},
  author={Raimundo R. dos Santos},
  journal={Brazilian Journal of Physics},
  year={2003},
  volume={33},
  pages={36-54}
}
  • R. R. Santos
  • Published 2003
  • Physics
  • Brazilian Journal of Physics
We tutorially review the determinantal Quantum Monte Carlo method for fermionic systems, using the Hubbard model as a case study. Starting with the basic ingredients of Monte Carlo simulations for classical systems, we introduce aspects such as importance sampling, sources of errors, and finite-size scaling analyses. We then set up the preliminary steps to prepare for the simulations, showing that they are actually carried out by sampling discrete Hubbard-Stratonovich auxiliary fields. In this… Expand

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