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The interest in nonequilibrium transport has stimulated a tremendous activity in developing
numerical and analytical methods that allow to study the steady-state regime, transient dynamics
or both. In this talk, I will present results obtained by using the adaptive time-dependent
density matrix renormalization group method, applied to (i) steady-state transport in the
single-impurity Anderson model [1] and (ii) transport through a one-dimensional Mott insulator [2]. In the former case, our main results are I-V curve at half-filling, in the mixed-valence regime, and in the presence of a magnetic field. In the latter case, we focus on the dielectric breakdown of the Mott insulating state by also coupling the interacting region to noninteracting leads. We find that, while the charge current takes a stationary value, this is not the case for other quantities such as spin-spin correlations or the internal interaction energy. We discuss this observation in terms of the time-scales necessary for the internal relaxation of an extended interacting region towards the stationary state. [1] F. Heidrich-Meisner, A. Feiguin, E. Dagotto: Phys. Rev B 79, 235336 (2009). [2] F. Heidrich-Meisner, I. Gonzalez, K.A. Al-Hassanieh, A.E. Feiguin, M.J. Rozenberg, and E. Dagotto: Phys. Rev. B 82, 205110 (2010). |
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