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

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

2009-02-19

arxiv.org/abs/0902.3256v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

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.

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