LETTER TO THE EDITOR: Dynamical delocalization for the 1D Bernoulli discrete Dirac operator
Abstract
A 1D tight-binding version of the Dirac equation is considered; after checking that it recovers the usual discrete Schrödinger equation in the nonrelativistic limit, it is found that for two-valued Bernoulli potentials the zero-mass case presents the absence of dynamical localization for some 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.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- February 2005
- DOI:
- 10.1088/0305-4470/38/7/L02
- arXiv:
- arXiv:math-ph/0501054
- Bibcode:
- 2005JPhA...38L.115D
- Keywords:
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- Mathematical Physics;
- 81Q10
- E-Print:
- 9 pages, no figures - J. Physics A: Math. Gen