Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice

Abstract

Thermal properties of the $S=1/2$ kagome Heisenberg antiferromagnet at low temperatures are investigated by means of the Hams-de Raedt method for clusters of up to 36 sites possessing a full symmetry of the lattice. The specific heat exhibits, in addition to the double peaks, the third and the forth peaks at lower temperatures. With decreasing the temperature, the type of the magnetic short-range order (SRO) changes around the third-peak temperature from the $\sqrt{3}\times \sqrt{3}$ to the $q$=0 states, suggesting that the third peak of the specific heat is associated with a crossover phenomenon between the spin-liquid states with distinct magnetic SRO. Experimental implications are discussed.

To appear in JPSJ. Two figure insets (in Fig. 2) and two references (Refs. 33 and 34) added. Some of the text part expanded

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Cited by in corpus (15)

• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Dynamical spin correlations of the kagome antiferromagnet
• Structure Factors of the Kagome-Lattice Heisenberg antiferromagnets at finite temperatures
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model
• Thermal Pure States for Systems with Antiunitary Symmetries and Their Tensor Network Representations
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Witnessing Disorder in Quantum Magnets
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices