## Abstract

We study the time evolution of quenched random-mass Dirac fermions in one dimension by quantum lattice Boltzmann simulations. For nonzero noise strength, the diffusion of an initial wave packet stops after a finite time interval, reminiscent of Anderson localization. However, instead of exponential localization we find algebraically decaying tails in the disorder-averaged density distribution. These qualitatively match a x ^{-3/2} decay, which has been predicted by analytic calculations based on zero-energy solutions of the Dirac equation.

Original language | English (US) |
---|---|

Title of host publication | Many-body Approaches at Different Scales |

Subtitle of host publication | A Tribute to Norman H. March on the Occasion of his 90th Birthday |

Publisher | Springer International Publishing |

Pages | 321-330 |

Number of pages | 10 |

ISBN (Electronic) | 9783319723747 |

ISBN (Print) | 9783319723730 |

DOIs | |

State | Published - Apr 25 2018 |

### Bibliographical note

Publisher Copyright:© Springer International Publishing AG, part of Springer Nature 2018.