论文标题

Anderson-Kitaev旋转液体

Anderson-Kitaev spin liquid

论文作者

Yamada, Masahiko G.

论文摘要

债券订购的Kitaev模型由于$α$ -rucl $ _3 $和$ a_3 $ liir $ _2 $ _2 $ o $ _6 $($ a = $ a = $ a = $ h,d,ag,ag,$ \ textit {etct。} $)而引起了很多关注。应用磁场打破时反转对称性会导致以dirac锥体的质量调制。由于Kitaev模型的通量间隙较小,小键疾病会对巡回的主要费用产生很大的影响,而Majorana Fermions将立即处于Anderson定位状态。我们称这种不动的液态状态Anderson-Kitaev液态,具有两个局部的Majorana fermions,一种是通过量规波动冻结的,另一个通过质量混乱的质量术语进行了冻结。热厅电导率的量化$κ/t $由于小疾病引起的量子厅过渡而消失,$κ/t $显示出具有可忽略不计的霍尔电流的Anderson-Kitaev液体的快速交叉。特别是,临界混乱强度$ΔJ_{C1} \ SIM 0.05 $在Kitaev相互作用的单位中对Kitaev旋转液体的稳定性有许多影响。

The bond-disordered Kitaev model attracts much attention due to the experimental relevance in $α$-RuCl$_3$ and $A_3$LiIr$_2$O$_6$ ($A=$ H, D, Ag, $\textit{etc.}$). Applying a magnetic field to break the time-reversal symmetry leads to a strong modulation in mass terms for Dirac cones. Because of the smallness of the flux gap of the Kitaev model, a small bond disorder can have large influence on itinerant Majorana fermions, and Majorana fermions will be in the Anderson localization state immediately. We call this immobile liquid state Anderson-Kitaev liquid state with two localized Majorana fermions, one frozen by gauge fluctuations and the other localized by disordered mass terms. The quantization of the thermal Hall conductivity $κ/T$ disappears by a quantum Hall transition induced by a small disorder, and $κ/T$ shows a rapid crossover into the Anderson-Kitaev liquid with a negligible Hall current. Especially, the critical disorder strength $δJ_{c1} \sim 0.05$ in the unit of the Kitaev interaction would have many implications for the stability of Kitaev spin liquids.

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