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TT: Fachverband Tiefe Temperaturen
TT 81: Frustrated Magnets: General II
TT 81.1: Talk
Thursday, March 21, 2024, 16:30–16:45, H 2053
Order-by-disorder scenarios in the antiferromagnetic J1-J2-J3 transverse-field Ising model on the ruby lattice — •Antonia Duft, Jan Koziol, Patrick Adelhardt, Matthias Mühlhauser, and Kai Phillip Schmidt — Friedrich-Alexander-Universität Erlangen-Nürnberg
We investigate the highly frustrated J1-J2-J3 transverse-field Ising model on the ruby lattice. We derive effective models in the low-field limit and determine the gap closing of the high-field polarized phase by series expansions. The extensive ground-state degeneracy at zero field is lifted by two different order-by-disorder mechanisms. For J2>J3, we find an emergent clock-ordered phase at low fields stabilized by resonating plaquettes and a 3d-XY quantum phase transition to the polarized phase similar to the triangular lattice. For J3>J2, a diagonal order-by-disorder mechanism stabilizes a distinct k=(0,0) order and the phase transition to the high-field phase is in the 3d-Ising universality class. The special case J2=J3 displays an enhanced ground-state degeneracy in the zero-field limit and no gap closing of the high-field gap can be detected reliably. The physics of the clock-ordered phase for J2>J3 can be implemented in Rydberg atom arrays.
Keywords: order by disorder; ruby lattice; clock-order