Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $JQ_3$ model on the honeycomb lattice

L. -W. Huang; J-H. Peng; F. -J. Jiang

doi:10.1016/j.cjph.2022.10.008

paper

Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J Q_{3}$ model on the honeycomb lattice

arXiv:2208.00367 · doi:10.1016/j.cjph.2022.10.008

Abstract

The Curie constants $C^{*} = lim_{T \to 0} T χ_{imp}$ of a spin-1/2 and a spin-1 impurities are calculated using the quantum Monte Carlo simulations. Here the impurity susceptibility $χ_{imp}$ is the difference between the uniform susceptibilities with and without the impurity and $T$ is the temperature. Moreover, the two-dimensional quantum $J Q_{3}$ model on the honeycomb lattice is considered as the host system. $T χ_{imp}$ as a function $T$ is investigated in great detail. Remarkably, our data indicate strongly that $C^{*} > 0.25$ and $C^{*} > 2/3$ for the spin-1/2 and the spin-1 impurities, respectively. In particular, although no definite conclusion is obtained due to finite-size effects, we find the Curie constant associated with a spin-1/2 impurity likely converges to a value greater than the established result of 0.262(2) in the literature. The outcomes reached here provide certain evidence that fractional impurity spin is observed for the studied $J Q_{3}$ system.

arXiv comment5 pages, 3 figures

Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional JQ3​ model on the honeycomb lattice

Abstract

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Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J Q_{3}$ model on the honeycomb lattice