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arXiv · 0902.3256

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

S. Nishimoto·T. Shirakawa
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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 $ξ\sim Δ^{-2}$, where $Δ$ 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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S. Nishimoto, T. Shirakawa. 2009-02-19. Finite-size scaling of correlation functions in one-dimensional Anderson-Hubbard model. https://doi.org/10.1103/physrevb.81.113105

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