Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension
arXiv:1706.05138 · doi:10.1007/978-3-319-72374-7_26
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 $\propto x^{-3/2}$ decay, which has been predicted by analytic calculations based on zero-energy solutions of the Dirac equation.
5 pages, 8 figures