The effect of the electron–electron interactions on localization in one-dimensional disordered model with long-range correlation

We study the effect of the electron–electron interactions in a one-dimensional disordered Anderson model with specific long-range correlations in the disorder, characterized by a correlation exponent α. The topology of the system is that of a ring with a magnetic flux φ threading through it, and we study the so-called charge stiffness Dc, which is essentially the second derivative of the total energy with respect to Φ. In the absence of interaction, for α>2, we find a metallic region around zero Fermi energy. In this metallic region, Dc is positive, whereas in the insulating region outside, Dc vanishes. In contrast, for sufficiently strong interaction, the long-range correlations leading to the metallic behavior are destroyed. At the same time it is also shown that the competition between the interactions and correlation determines the electronic transport behavior of the system.