Shift-invert diagonalization of large many-body localizing spin chains

@article{Pietracaprina2018ShiftinvertDO,
  title={Shift-invert diagonalization of large many-body localizing spin chains},
  author={Francesca Pietracaprina and Nicolas Macé and David J. Luitz and Fabien Alet},
  journal={SciPost Physics},
  year={2018}
}
We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also provide an example code at https://bitbucket.org/dluitz/sinvert_mbl. Through a detailed analysis of the simulational parameters of the random field Heisenberg spin chain, we provide a practical guide on how to perform efficient computations. We present data for mid… 
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70 Citations

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