Parity-dependent sublattice structure of local $2\times 2$ correlations in domino tilings of the Aztec diamond

Chaeyeon Kim, Suhwan Yoo, Jeehoon Choi +2

We study local $2\times 2$ correlations in uniformly random domino tilings of the Aztec diamond $\mathrm{AZ}(n)$, a dimer model with frozen corners and a liquid region bounded by th…