Abstract
We investigate numerically localization properties of electron eigenstates in a chain with long‐range correlated diagonal disorder. A tight binding one‐dimensional model with on‐site energies exhibiting long‐range correlated disorder (LRCD) is considered for a various disorder strength W. LRCD is defined so that it gives a power law spectral density of the form S(k)αk−p, where p determines the roughness of the potential landscape. Numerical results on the localization length ξ of eigenstates shows the existence of the localization‐delocalization transition at p=2. It is found that the critical values for disorder strength W and also critical exponent ν for localization length changes with the values of p.
Keywords
Delocalized electron
Condensed matter physics
Eigenvalues and eigenvectors
Range (aeronautics)
Anderson localization
Exponent
Physics
Diagonal
Electron delocalization
Power law
Chain (unit)
Statistical physics
Materials science
Quantum mechanics
Mathematics
Subject Areas
Quantum and electron transport phenomena
·Atomic and Molecular Physics, and Optics ·Physical Sciences
Surface and Thin Film Phenomena
·Atomic and Molecular Physics, and Optics ·Physical Sciences
Advanced Chemical Physics Studies
·Atomic and Molecular Physics, and Optics ·Physical Sciences