Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model

Abstract

In this study, we investigate the finite-temperature properties of the spin-1/2 $J_1-J_2$ Heisenberg model on the kagome lattice using the orthogonalized finite-temperature Lanczos method. Under a zero magnetic field, the specific heat exhibits a double-peak structure, as $|J_2|$ increases. Additionally, at approximately $J_2=0$, the magnetic entropy remains finite, even at low temperatures. The finite-temperature magnetization curve reveals the asymmetric melting behavior of the 1/3 plateau around $J_2=0$. As $|J_2|$ increases, the 1/3 plateau becomes more stable, exhibiting symmetric melting behavior. Specifically, for $J_2>0$, the $\mathbf{Q}=0$ up-up-down structure is stabilized, whereas for $J_2<0$, the $\sqrt{3}\times \sqrt{3}$ up-up-down structure is stabilized.

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• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• One-third magnetization plateau in a spin-1 kagome magnet BaNi${}_3$(AsO${}_4$)${}_2$(OH)${}_2$
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain
• Robust semiclassical magnetization plateau in the kagome lattice