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Complete localization is shown to hold for the $d$-dimensional Anderson modelwith uniformly distributed random potentials provided the disorder strength$\lambda >\lambda_{And}$ where $\lambda_{\text{And}}$ satisfies$\lambda_{\text{And}}=\mu_d e \ln \lambda_{\text{And}}$ with $\mu_d$ theself-avoiding walk connective constant for the lattice $\mathbb{Z}^d$. Notably$\lambda_{\text{And}}$ is precisely the large disorder threshold proposed byAnderson in 1958.

How large is large? Estimating the critical disorder for the Anderson model