The Study Of Electronic States In One-dimension Correlated Disorder Systems

Since Anderson pointed out the localization of the disordered systems in 1958, the localization properties of the disordered systems have been of great concern, and become the focus of the theoretical and experimental research. Subsequently scaling theory showed that there are not extended but localized electronic states'in one-dimension ,therefore there is no metal-nonmetal transition.In recent decades, people have studied a lot of low-dimensional disorder- Ed models in a variety of ways, including disordered system with short-range correlation and long-range correlation . The common feature of these models is that there exist extended states. Over time, localization length and Lyapunu- Ov exponent were often used as the measures to study the electronic localizat- Ion properties of the disorder system. Some others think that the concurrence may be used as a new measure of the electronic localization properties of dis- ordered system and band structure was found to exist in the curves of average concurrence with disorder degree when they considered the power-law correl- Ations in the short and longer chains.For many physical problems, we will eventually come down to solving eigenvalues and eigenvector problems. In disordered system,although those physical quantities related to periodicity are on longer applicable to describe the properties of the system, but the intrinsic value, intrinsic functions such as density of states still make sense. Then, we want to know whether the int- Rinsic wave function and the intrinsic energy also can be used as measures of the electronic localization of the disordered systems. This problem is analyzed in this paper .And we further analyzed the possibility of entanglement as a m- Easure. As an example of correlation Anderson model, the entanglement of DNA molecular chain was studied. Based on that, we demonstrated the electronic localization properties of the DNA Chains.