Order-by-disorder in the antiferromagnetic J1-J2-J3 transverse-field Ising model on the ruby lattice

Duft A, Koziol J, Adelhardt P, Mühlhauser M, Schmidt KP (2024)


Publication Type: Journal article

Publication year: 2024

Journal

Book Volume: 6

Article Number: 033339

Journal Issue: 3

DOI: 10.1103/PhysRevResearch.6.033339

Abstract

We investigate the quantum phase diagram of the J1-J2-J3 antiferromagnetic transverse-field Ising model on the ruby lattice. In the low-field limit we derive an effective quantum dimer model, analyzing how the extensive ground-state degeneracy at zero field is lifted by an order-by-disorder scenario. We support our analysis by studying the gap closing of the high-field phase using series expansions. For J2>J3, we find a columnar phase at low fields, followed by a clock-ordered phase stabilized by resonating plaquettes at intermediate field values, and an emergent three-dimensional (3D)-XY quantum phase transition to the polarized high-field phase. For J3>J2, an order-by-disorder mechanism stabilizes a distinct k=(0,0) order and a quantum phase transition in the 3D-Ising universality class is observed. Further, we discuss the possible implementation of the columnar- and clock-ordered phase in existing Rydberg atom quantum simulators. When taking into account the full algebraically decaying long-range interactions on the ruby lattice, we find that long-range interactions favor the same ground state as the quantum fluctuations induced by a transverse field, which could make the ruby lattice a promising candidate for the realization of a clock-ordered phase.

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APA:

Duft, A., Koziol, J., Adelhardt, P., Mühlhauser, M., & Schmidt, K.P. (2024). Order-by-disorder in the antiferromagnetic J1-J2-J3 transverse-field Ising model on the ruby lattice. Physical Review Research, 6(3). https://doi.org/10.1103/PhysRevResearch.6.033339

MLA:

Duft, Antonia, et al. "Order-by-disorder in the antiferromagnetic J1-J2-J3 transverse-field Ising model on the ruby lattice." Physical Review Research 6.3 (2024).

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