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Localization-Delocalization Transition of Electron States in a Disordered Quantum Small World Network | | Chen-Ping Zhu
; Shi-Jie Xiong
; | | Date: |
11 Jul 2000 | | Subject: | Disordered Systems and Neural Networks; Soft Condensed Matter | cond-mat.dis-nn cond-mat.soft | | Abstract: | We investigate the localization behavior of electrons in a random lattice which is constructed from a quasi-one-dimensional chain with large coordinate number $Z$ and rewired bonds, resembling the small-world network proposed recently but with site-energy disorder and quantum links instead of classical ones. The random rewiring of bonds in the chain with large $Z$ enhances both the topological disorder and the effective dimensionality. From the competition between disorder and dimensionality enhancement a transition from localization to delocalization is found by using the level statistics method combined with the finite-size scaling analysis. The critical value of the rewiring rate for this transition is determined numerically. We obtain a universal critical integrated distribution of level spacing $s$ in the form $I_{p_{c}}(s)propto exp (-A_{c}s^{alpha})$, with $A_{c}simeq 1.50$ and $alpha simeq 1.0$. This reveals the possible existence of metal-insulator transition in materials with chains as the backbones. | | Source: | arXiv, cond-mat/0007181 | | Services: | Forum | Review | PDF | Favorites | |
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