Localization-Delocalization Transition in Chains with Correlated Disorder

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.