# 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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