Abstract

I will discuss transport of interacting electrons in a low-dimensional disordered system at low temperature. In view of localization by disorder, the conductivity may only be non-zero due to electron-electron scattering. In this talk, I will review recent theoretical results on Anderson localization of interacting electrons. In particular, I will talk about Anderson localization and dephasing in strongly-correlated one-dimensional electron systems (disordered Luttinger liquids). The results I will describe were obtained in: I. V. Gornyi, A. D. Mirlin, D. G. Polyakov, Phys. Rev. Lett. 95, 046404 (2005); Phys. Rev. Lett. 95, 206603 (2005); Phys. Rev. B 75 , 085421 (2007); D.A. Bagrets, I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, arXiv:0804.4887; A.G. Yashenkin, I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, arXiv:0808.1093.