Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices

Abstract

Derivation of a reduced effective model allows for a unified treatment and discussion of the $J_1$-$J_2$ Heisenberg model on a triangular and kagome lattice. Calculating thermodynamic quantities, i.e. the entropy $s(T)$ and uniform susceptibility ${\chi }_0(T)$, numerically on systems up to effectively $N=48$ sites we show by comparing to full-model results that low-$T$ properties are well represented within the reduced model. Moreover, we find in the spin-liquid regime similar variation of $s(T)$ as well as ${\chi }_0(T)$ in both models down to $T\ll J_1$. In particular, the spin liquid appears to be characterized by Wilson ratio vanishing at low $T$, indicating on the low-lying singlet dominating over the triplet excitations.

6 pages, 5 figures + supplementary

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Cited by in corpus (7)

• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Quantum half-orphans in kagome antiferromagnets
• Finite-temperature phase transitions in $S=1/2$ three-dimensional Heisenberg magnets from high-temperature series expansions