Role of Correlations and Off-Diagonal Terms in Binary Disordered One-Dimensional Systems
A. Kosior a, J. Major a, M. Płodzień a and J. Zakrzewskia,b
aInstytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, S. Łojasiewicza 11, 30-348 Kraków, Poland
bMark Kac Complex Systems Research Center, Jagiellonian University, S. Łojasiewicza 11, 30-348 Kraków, Poland
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We investigate one-dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast periodic modulation of interspecies interaction. The method based on transfer matrix techniques allows us to calculate the energies of extended modes in the correlated binary disorder. We focus on N-mer correlations and regain known results for the case of purely diagonal disorder. For off-diagonal disorder we find resonant energies. We discuss ambiguous properties of those states and compare analytical results with numerical calculations. Separately we describe a special case of the dual random dimer model.

DOI: 10.12693/APhysPolA.128.1002
PACS numbers: 67.85.-d, 03.75.-b, 73.20.Fz, 73.20.Jc