Abstract
For the quasi-one-dimensional disordered systems with parallel multi-chains, taking a special method to code the sites and just considering the nearest-neighbor hopping integral, we write the systems’ Hamiltonians as precisely symmetric matrixes, which can be transformed into three diagonally symmetric matrixes by using the Householder transformation. The densities of states, the localization lengths and the conductance of the systems are calculated numerically using the minus eigenvalue theory and the transfer matrix method. From the results of quasi-one-dimensional disordered systems with varied chains, we find, the energy band of the systems extends slightly, the energy gaps are observed and the distribution of the density of states changes obviously with the increase of the dimensionality. Especially, for the systems with four, five or six chains, at the energy band center, there exist extended states whose localization lengths are greater than the size of the systems, accordingly, there having great conductance. With the increasing of the number of the chains, the correlated ranges expand and the systems present the similar behavior to that with off-diagonal long-range correlation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.