# Melting of three-sublattice order in triangular lattice Ising antiferromagnets: Power-law order, $Z_6$ parafermionic multicriticality, and weakly first order transitions

@inproceedings{Rakala2021MeltingOT, title={Melting of three-sublattice order in triangular lattice Ising antiferromagnets: Power-law order, \$Z\_6\$ parafermionic multicriticality, and weakly first order transitions}, author={Geet Rakala and Nisheeta Desai and Saumya Shivam and Kedar Damle}, year={2021} }

The nature of the thermal melting process by which triangular-lattice Ising antiferromagnets lose their low-temperature ferrimagnetic three-sublattice order depends on the range of the interactions: It changes character when second and third neighbour ferromagnetic interactions become comparable to the nearest-neighbour antiferromagnetic coupling. We present a detailed numerical characterization of the corresponding threshold at which two-step melting of three-sublattice order gives way to a…

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