Theoretical Study Of The Low Dimensional Correlated Disordered Systems

Study on properties of disordered systems is an important aspect of con-densed state physics. Recently, people pay more attention to the correlation effects in disordered systems. Because it brings physical properties of richer and more interesting physical phenomena. Besides, the system dimension is an important factor to affect the charge transport in disordered systems. A large number of low-dimensional correlated disordered systems (including DNA) have been widely used in scientific research and technological experiment.This paper mainly studies the transport properties of low-dimensional disor-dered systems. The study covers one dimensional, quasi one-dimensional (double chain) and two dimensional disordered systems. This paper discusses the effects of correlation of different types of system properties, including long-range corre-lation, short-range, limit correlation (quasi-periodic system). The results of our research mainly include the following:First, the disorder in one-dimensional long-range correlation as an example, we use normalized localization length and density of States to describe the local-ization property of the system. According to the characteristics of density of states of the correlated system, propose an experimental method to judge the positions of the mobility, which can be applied to other related systems. But also verify the relationship between the critical exponent v of localization length and the critical exponent of density of states.Second, in the disordered double-chains model containing both short-range and long-range correlation, we give the phase diagram describing the system local-ization properties, and thus found a series of novel physical properties, including inverse correlation effect, anomalous transport, first and two order phase transi-tion, critical exponent transition etc..Third, we discuss the distribution configuration of various extended state in2D square lattice with quasi-periodic potential. We also found in very strong disorder strength, remains an continuous energy band of extended states.