Spin ordered ground state and thermodynamic behaviors of the spin-3/2 kagome Heisenberg antiferromagnet

Abstract

Three different tensor network optimization algorithms are employed to accurately determine the ground state and thermodynamic properties of the spin-3/2 kagome Heisenberg antiferromagnet. We found that the $\sqrt{3}\times \sqrt{3}$ state, rather than the $q=0$ state, is the ground state of this system, and such an ordered state is melted at any finite temperature, thereby clarifying the existing experimental controversies. A 1/3-magnetization plateau in the magnetic curve is observed, being consistent with the experimental observation. The absence of a zero-magnetization plateau indicates a gapless spin excitation that is further supported by the thermodynamic asymptotic behaviors of the susceptibility and specific heat. At low temperatures, the specific heat is shown to exhibit a $\sqrt{T}$ behavior, and the susceptibility approaches a finite constant as $T\to 0$. Our TN results of thermodynamic properties are compared with those from high temperature series expansion. In addition, we observe a quantum phase transition between $q=0$ and $\sqrt{3}\times \sqrt{3}$ states in a spin-3/2 kagome XXZ model at the critical point ${\Delta }_c=0.408$. This study provides reliable and useful information for further explorations on high spin kagome physics.

5 pages, 6 figures + 4 pages of supplemental material

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• Kagome quantum anomalous Hall effect with high Chern number and large band gap
• The Interplay Between Lattice Topology, Frustration, and Spin Quantum Number in Quantum Antiferromagnets on Archimedean Lattices
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet
• Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Quantum Monte Carlo Study on the Spin-1/2 Honeycomb Heisenberg Model with Mixing Antiferromagnetic and Ferromagnetic Interactions in External Magnetic Fields
• Thermal Tensor Network Simulations of the Heisenberg Model on the Bethe Lattice
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Survival of magnetic correlations above ordering temperature in a ferromagnetically ordered classical kagomé magnet: Li9Cr3(P2O7)3(PO4)2
• Emergence of magnetic long-range order in kagome quantum antiferromagnets