Anderson localization and the topology of classifying spaces

@article{Morimoto2015AndersonLA,
  title={Anderson localization and the topology of classifying spaces},
  author={Takahiro Morimoto and Akira Furusaki and Christopher Mudry},
  journal={Physical Review B},
  year={2015},
  volume={91},
  pages={235111}
}
In this work the authors generate the ten-fold classification of the periodic table of topological insulators by studying random Dirac Hamiltonians supporting a Dirac mass. They use homotopy groups to establish the phase diagram that encodes Anderson localization and provide an alternative explanation for the even-odd effect in the one-dimensional chiral classes. 
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