Finite-size scaling of correlation functions in one-dimensional Anderson-Hubbard model

Abstract

We study the one-dimensional Anderson-Hubbard model using the density-matrix renormalization group method. The influence of disorder on the Tomonaga-Luttinger liquid behavior is quantitatively discussed. Based on the finite-size scaling analysis of density-density correlation functions, we find the following results: i) the charge exponent is significantly reduced by disorder at low filling and near half filling, ii) the localization length decays as $\xi \sim {\Delta }^{-2}$, where $\Delta$ is the disorder strength, independently of the on-site Coulomb interaction as well as band filling, and iii) the localization length is strongly suppressed by the on-site Coulomb interaction near half filling in association with the formation of the Mott plateaus.

4 pages, 4 figures

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Cited by in corpus (2)

• Variational Monte Carlo Study of Anderson Localization in the Hubbard Model
• Anderson localization versus charge-density-wave formation in disordered electron systems