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Physica C Superconductivity

Density-matrix renormalization-group studies for one-dimensional polarized Anderson–Hubbard model

Masahiko Okumura, S. Yamada, Masahiko Machida

Published Nov 5, 2009• 0 citations
Publisher
DOI
10.1016/j.physc.2009.11.003

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In order to study an interplay of disorder, correlation, and spin imbalance on antiferromagnetism, we systematically explore the ground state of one-dimensional spin-imbalanced Anderson-Hubbard model by using the density-matrix renormalization-group method. We find that disorders localize the antiferromagnetic spin-density wave induced by imbalanced fermions and the increase in the disorder magnitude shrinks the areas of the localized antiferromagnetized regions. Moreover, the antiferromagnetism finally disappears above a large disorder. The localization behaviors are observable in atomic Fermi gases loaded on optical lattices as broadening of the momentum distribution of the spin density by using the Stern-Gerlach type of time-of-flight imaging.
We study an interplay of disorder and correlation in the one-dimensional hole-doped Hubbard-model with disorder (Anderson-Hubbard model) by using the density-matrix renormalization group method. Concentrating on the doped-hole-density profile, we find in a large U/t regime that the clean system exhibits a simple fluidlike behavior whereas finite disorders create locally Mott regions which expand their area with increasing the disorder strength contrary to the conventional sense. We propose that such an anomalous Mott phase formation assisted by disorder is easily observable in atomic Fermi gases by setting up the box-shape trap.