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- W2968646968 abstract "We compute the scaling properties of the localization length ${ensuremath{xi}}_{2}$ of two interacting particles in a one-dimensional chain with diagonal disorder, and the connectivity properties of the Fock states. We analyze record large system sizes (up to $N=20phantom{rule{0.16em}{0ex}}000$) and disorder strengths (down to $W=0.5$). We vary the energy $E$ and the on-site interaction strength $u$. At a given disorder strength, the largest enhancement of ${ensuremath{xi}}_{2}$ occurs for $u$ of the order of the single-particle bandwidth and for two-particle states with energies at the center of the spectrum, $E=0$. We observe a crossover in the scaling of ${ensuremath{xi}}_{2}$ with the single-particle localization length ${ensuremath{xi}}_{1}$ into the asymptotic regime for ${ensuremath{xi}}_{1}>100$ ($W<1.0$). This happens due to the recovery of translational invariance and momentum conservation rules in the matrix elements of interconnected Fock eigenstates for $u=0$. The entrance into the asymptotic scaling is manifested through a nonlinear scaling function ${ensuremath{xi}}_{2}/{ensuremath{xi}}_{1}=F(u{ensuremath{xi}}_{1})$." @default.
- W2968646968 created "2019-08-22" @default.
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- W2968646968 date "2019-12-16" @default.
- W2968646968 modified "2023-09-23" @default.
- W2968646968 title "Taming two interacting particles with disorder" @default.
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- W2968646968 doi "https://doi.org/10.1103/physrevb.100.224203" @default.
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