Vanishing Wilson ratio as the hallmark of quantum spin-liquid models

Abstract

We present numerical results for finite-temperature $T>0$ thermodynamic quantities, entropy $s(T)$, uniform susceptibility ${\chi }_0(T)$ and the Wilson ratio $R(T)$, for several isotropic $S=1/2$ extended Heisenberg models which are prototype models for planar quantum spin liquids. We consider in this context the frustrated $J_1$-$J_2$ model on kagome, triangular, and square lattice, as well as the Heisenberg model on triangular lattice with the ring exchange. Our analysis reveals that typically in the spin-liquid parameter regimes the low-temperature $s(T)$ remains considerable, while ${\chi }_0(T)$ is reduced consistent mostly with a triplet gap. This leads to vanishing $R(T\to 0)$, being the indication of macroscopic number of singlets lying below triplet excitations. This is in contrast to $J_1$-$J_2$ Heisenberg chain, where $R(T\to 0)$ either remains finite in the gapless regime, or the singlet and triplet gap are equal in the dimerized regime.

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• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
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• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
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• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice