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The amorphous solids can be theoretically modeled by anharmonic disorderedlattices. However, most of theoretical studies on thermal conductivity inanharmonic disordered lattices only focus on the potentials of hard-type (HT)anharmonicity. Here we study the thermal conductivity $\kappa$ ofone-dimensional (1D) disordered lattices with both hard- and soft-type (ST)anharmonic on-site potentials. It is found, via both direct molecular dynamicsimulations and theoretical method, that the anharmonicity dependence of$\kappa$ in the HT model is nonmonotonous, while in the ST model ismonotonously increased. This provides a new way to enhance thermal conductivityin disordered systems. Furthermore, $\kappa$ of the HT model is consistent withthe prediction of the quasi-harmonic Green-Kubo (QHGK) method in a wide rangeof anharmonicity, while for the ST model, the numerical results seem largelydeviated from the theoretical predictions as the anharmonicity becomes soft.This new and peculiar feature of the ST model may root in the fact that onlydelocalization effect exists, different from the competing roles that bothdelocalization and localization play in the counterpart HT model.

Thermal conductivity in one-dimensional nonlinear disordered lattices: Two kinds of scattering effects of hard-type and soft-type anharmonicities