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.