Spectral and localization properties for the one-dimensional Bernoulli discrete Dirac operator

Journal Article · Fri Jul 01 00:00:00 EDT 2005 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1948328· OSTI ID:20699227

Oliveira, Cesar R. de; Prado, Roberto A ^[1]

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1. Departamento de Matematica-UFSCar, Sao Carlos, SP, 13560-970 Brazil (Brazil)

An one-dimensional (1D) Dirac tight-binding model is considered and it is shown that its nonrelativistic limit is the 1D discrete Schroedinger model. For random Bernoulli potentials taking two values (without correlations), for typical realizations and for all values of the mass, it is shown that its spectrum is pure point, whereas the zero mass case presents dynamical delocalization for specific values of the energy. The massive case presents dynamical localization (excluding some particular values of the energy). Finally, for general potentials the dynamical moments for distinct masses are compared, especially the massless and massive Bernoulli cases.

• OSTI ID: 20699227
• Journal Information: Journal of Mathematical Physics, Vol. 46, Issue 7; Other Information: DOI: 10.1063/1.1948328; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
CORRELATIONS
DIRAC OPERATORS
MASS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
RANDOMNESS
SCHROEDINGER EQUATION