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Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension (1706.05138v1)
Published 16 Jun 2017 in physics.comp-ph and cond-mat.stat-mech
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.