Magnon transport and thermal properties of confined anisotropic CrI3

In this study, we derive the expressions of transmission and reflection for the quasi-one-dimensional spin-wave system in the presence of anomalous quadratic interactions due to the Holstein-Primakoff transformation, which are the generalization of Fisher-Lee formula in electronic systems. We employ the Green's function technique to calculate the coherent transport in nanowires with two terminals by considering the exchange randomness and spin dilution. The quantized magnon transmission is modified by both types of disorder, leading to reduced mean-free paths which could be relevant for the implementation of unconventional logic gates. In the linear response regime, the longitudinal thermal conductance divided by temperature shows a broad peak corresponding to a maximum release of entropy, implying the development of spin-correlations. This behavior resembles that of longitudinal and transverse thermal conductivity revealed in the Kitaev model within the framework of quantum spin liquids. These results provide insights into the mechanisms of magnon transport in quasi-one-dimensional spin-wave systems, paving the way for further research on anisotropic magnets and their potential applications in novel computational devices.