AI 中文总结
研究铁磁绝缘体中磁振子输运，基于拓扑磁振子绝缘体自旋哈密顿量推导公式，计算磁振子霍尔角等，发现吉尔伯特阻尼下磁振子电流不守恒，深刻改变了相关噪声与电导关系。
AI 中文摘要
我们为铁磁绝缘体中由温度梯度驱动的磁振子输运建立了一个全面的形式体系。基于拓扑磁振子绝缘体的自旋哈密顿量推导了磁振子电流和相应磁振子噪声的公式，这使我们能够计算磁振子霍尔角，给出法诺因子的显式表达式，并重申磁振子电导与磁振子噪声之间的定量关系。我们发现，在存在吉尔伯特阻尼的情况下，磁振子电流不守恒。因此，局部和非局部噪声之间的互易关系、电导与热噪声之间的约翰逊 - 奈奎斯特公式以及传输系数与散粒噪声之间的关系都发生了深刻变化。
英文摘要
We develop a comprehensive formalism for magnon transport in ferromagnetic insulators driven by a temperature gradient. The formulas for magnon current and corresponding magnon noise are derived herein based on the spin Hamiltonian of a topological magnon insulator, which enables us to calculate the magnon Hall angle, to provide an explicit expression for the Fano factor, and to reaffirm the quantitative relations between magnon conductance and magnon noise. We find that the magnon current is not conserved in the presence of the Gilbert damping. Consequently, the reciprocal relation between the local and nonlocal noises, the Johnson-Nyquist formula between the conductance and the thermal noise, and the relation between the transmission coefficient and the shot noise are profoundly altered.
