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Quantum orders in the frustrated Ising model on the bathroom tile lattice

Quantum orders in the frustrated Ising model on the bathroom tile lattice

We determine the zero- and finite temperature phase diagram of the fully frustrated quantum Ising model on the bathroom tile (4-8) lattice. The phase diagram exhibits a wealth of $2+1\mathrm{d}$ physics, including (1) classical Coulomb dimer liquids of both square and triangular lattice types; (2) quantum order-by-disorder induced phases breaking …