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.
|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
|Springer International Publishing
|Number of pages
|Published - Apr 25 2018
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© Springer International Publishing AG, part of Springer Nature 2018.