无序二维反铁磁体中磁振子的弱局域化
Weak localization of magnons in a disordered two-dimensional antiferromagnet
摘要：
提出了无序二维反铁磁体中磁振子的弱局域化。在线性响应理论和线性自旋波近似下，我们导出了无序海森堡反铁磁体磁振子的纵向热导率$κ_{xx}$。我们发现，粒子-粒子型多重杂质散射对磁振子的后向散射有临界增强作用。这种反向散射导致长度尺度为二维的$κ_{xx}$的对数抑制。我们还讨论了非弹性散射对$κ_{xx}$温度依赖性的可能影响。这种弱局域化对于控制磁振子热流的开启和关闭是有用的。
英文摘要：
We propose the weak localization of magnons in a disordered two-dimensional antiferromagnet. We derive the longitudinal thermal conductivity $κ_{xx}$ for magnons of a disordered Heisenberg antiferromagnet in the linear-response theory with the linear-spin-wave approximation. We show that the back scattering of magnons is enhanced critically by the particle-particle-type multiple impurity scattering. This back scattering causes a logarithmic suppression of $κ_{xx}$ with the length scale in two dimensions. We also argue a possible effect of inelastic scattering on the temperature dependence of $κ_{xx}$. This weak localization is useful to control turning the magnon thermal current on and off.
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