Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice

• URL: http://arxiv.org/abs/2407.05556v2
• Date: Fri, 30 Aug 2024 02:40:03 GMT
• Title: Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Authors: Ryui Kaneko, Shimpei Goto, Ippei Danshita,
• Abstract summary: We find that the SU($4$) singlet ground state appears in the strongly anisotropic limit. We also calculate the anisotropy dependence of singlet correlations on a plaquette bond, which will be useful for future experiments of ultracold atoms in optical lattices.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the ground state of the SU($4$) Heisenberg model on a square lattice with spatial anisotropy on each plaquette bond using the tensor-network method based on infinite projected entangled pair states. We find that the SU($4$) singlet ground state appears in the strongly anisotropic limit, whereas N\'eel and valence-bond crystal orders coexist in the nearly isotropic limit. By examining the intermediate parameter region, we identify a phase transition between these phases. The nature of the phase transition is likely to be of first order, and the transition point is estimated to be around $J'/J\approx 0.85(5)$, where $J$ and $J'$ are the interaction strengths of intra- and interplaquette bonds, respectively. We also calculate the anisotropy dependence of singlet correlations on a plaquette bond, which will be useful for future experiments of ultracold atoms in optical lattices.

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