Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

• URL: http://arxiv.org/abs/2103.12364v2
• Date: Wed, 9 Jun 2021 05:51:23 GMT
• Title: Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields
• Authors: Ryui Kaneko, Yoshihide Douda, Shimpei Goto, Ippei Danshita
• Abstract summary: We map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields. For a small but nonzero transverse field, the transition longitudinal field is found to remain nearly constant. Our phase diagram provides a useful benchmark for quantum simulation of a Rydberg atom system.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields using the quantum Monte Carlo method. For a small but nonzero transverse field, the transition longitudinal field is found to remain nearly constant. By scrutinizing the phase diagram, we uncover a narrow region where the system exhibits reentrant transitions between the disordered and antiferromagnetic phases with increasing transverse field. Our phase diagram provides a useful benchmark for quantum simulation of a Rydberg atom system.

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