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Abstract The transverse-field Ising model on the triangular lattice is expected to host an intermediate finite-temperature Kosterlitz-Thouless (KT) phase through a mapping of the spins on each triangular unit to a complex order parameter. TmMgGaO4 is a candidate material to realize such physics due to the non-Kramers nature of the Tm3+ ion and the resulting two-singlet single-ion ground state.
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