Columnar order and Ashkin-Teller criticality in mixtures of hard-squares and dimers

Kabir Ramola, Kedar Damle, Deepak Dhar

We show that critical exponents of the transition to columnar order in a {\em mixture} of $2\times 1$ dimers and $2\times 2$ hard-squares on the square lattice {\em depends on th…