Journal article
Scaling of the localization length in linear electronic and vibrational systems with long-range correlated disorder
Authors list: Russ, S
Publication year: 2002
Journal: Physical Review B
Volume number: 66
Issue number: 1
ISSN: 1098-0121
Open access status: Green
DOI Link: https://doi.org/10.1103/PhysRevB.66.012204
Publisher: American Physical Society
Abstract:
The localization lengths lambda of one-dimensional disordered systems are studied for electronic wave functions in the Anderson model and for vibrational states. In the first case, the site energies epsilon and in the second case, the fluctuations of the vibrating masses m at distance l from each other are long-range correlated and described by a correlation function C(l)similar tol(-gamma) with 0(-1/(4-gamma))similar tolambda(E=2,), x=lambda(0)(2)(2-E), and the scaling function f(gamma)(x)=const for x<<1 and f(gamma)(x)similar tox((3-gamma)/2) for x>>1. Mapping the Anderson model onto the vibrational problem, we derive the vibrational localization lengths for small eigenfrequencies omega, lambdasimilar to((3-gamma)/2)(-1)omega(-(1+gamma)), where is the mean mass and the variance of the masses. This implies that, unexpectedly, at small omega, lambda is larger for uncorrelated than for correlated chains.
Citation Styles
Harvard Citation style: Russ, S. (2002) Scaling of the localization length in linear electronic and vibrational systems with long-range correlated disorder, Physical Review B, 66(1), Article 012204. https://doi.org/10.1103/PhysRevB.66.012204
APA Citation style: Russ, S. (2002). Scaling of the localization length in linear electronic and vibrational systems with long-range correlated disorder. Physical Review B. 66(1), Article 012204. https://doi.org/10.1103/PhysRevB.66.012204
Keywords
DIMENSIONAL ANDERSON MODEL
