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|
|Number of pages||10|
|State||Published - Apr 25 2018|