Role of Correlations and Off-Diagonal Terms in Binary Disordered One-Dimensional Systems

• Authors: A. Kosior , J. Major , M. Płodzień , J. Zakrzewski
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

67.85.-d; 03.75.-b; 73.20.Fz; 73.20.Jc

Discipline

• 03.75.-b: Matter waves(for atom interferometry, see 37.25.+k; see also 67.85.-d ultracold gases, trapped gases in quantum fluids and solids)
• 67.85.-d: Ultracold gases, trapped gases(see also 03.75.-b Matter waves in quantum mechanics)
• 73.20.Jc: Delocalization processes
• 73.20.Fz: Weak or Anderson localization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 6
• Pages: 1002-1007

Dates

published

2015-12

Contributors

author

A. Kosior

• Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, S. Łojasiewicza 11, 30-348 Kraków, Poland

author

J. Major

• Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, S. Łojasiewicza 11, 30-348 Kraków, Poland

author

M. Płodzień

• Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, S. Łojasiewicza 11, 30-348 Kraków, Poland

author

J. Zakrzewski

• Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, S. Łojasiewicza 11, 30-348 Kraków, Poland
• Mark Kac Complex Systems Research Center, Jagiellonian University, S. Łojasiewicza 11, 30-348 Kraków, Poland

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Identifiers

DOI

10.12693/APhysPolA.128.1002