  In this paper, we use the eigenvalues of the random to random card shuffle to
prove a sharp upper bound for the total variation mixing time. Combined with
the lower bound due to Subag, we prove that this walk exhibits cutoff at
$\frac{3}{4} n \log n - \frac{1}{4}n\log\log{n}$ with window of order $n$,
answering a conjecture of Diaconis.
