Quantum orders in the frustrated Ising model on the bathroom tile lattice
Sumner N. Hearth,
Siddhardh C. Morampudi,
Chris R. Laumann
Abstract: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+1d physics, including 1. classical Coulomb dimer liquids of both square and triangular lattice types; 2. quantum order-by-disorder induced phases breaking Z4, Z6, and Z8 symmetries; 3. finite temperature Kosterlitz-Thouless (KT) phases floating over the Z6 and Z8 orders; and, 4. staircases of (in)commensurate symmetry breaking phases… Show more
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