Dynamical Delocalization for the 1D Bernoulli Discrete Dirac Operator

Details Dynamical Delocalization for the 1D Bernoulli Discrete Dirac Operator Dynamical Delocalization for the 1D Bernoulli Discrete Dirac Operator

2005-01-21

arxiv.org/abs/math-ph/0501054v1

Physics

Mathematical Physics

9 pages, no figures - J. Physics A: Math. Gen

Scientific paper

10.1088/0305-4470/38/7/L02

An 1D tight-binding version of the Dirac equation is considered; after checking that it recovers the usual discrete Schr?odinger equation in the nonrelativistic limit, it is found that for two-valued Bernoulli potentials the zero mass case presents absence of dynamical localization for specific values of the energy, albeit it has no continuous spectrum. For the other energy values (again excluding some very specific ones) the Bernoulli Dirac system is localized, independently of the mass.

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