论文标题
通过超精细的相互作用，吉塔夫材料中曲折代码阶段的电探针
Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
论文作者
论文摘要
Kitaev模型是一个非凡的自旋模型，具有间隙和无间隙的自旋液相，它可能在虹膜液和$α$ -RUCL $ _3 $中实现。在最近的$α$ -rucl $ _3 $的实验中，已经通过热容量的角度依赖性观察到了列明过渡到Gapped the the Synemetry of System $ C_3 $对称性的nematic级过渡的签名。我们在这里提出了一种机制，可以通过该机制进行电列过渡。这似乎是不可能的，因为$ j_ \ textrm {eff} = 1/2 $旋转没有电动四极力矩（EQM）。但是，在二阶扰动中，出现了非零EQM的虚拟状态，这使得列级参数参数可通过核磁共振和莫斯鲍尔光谱检测。 EQM的纯磁起源与常规的电子列阶段不同，可以直接检测到Kitaev的曲折误差校正代码的实现。
The Kitaev model is a remarkable spin model with gapped and gapless spin liquid phases, which are potentially realized in iridates and $α$-RuCl$_3$. In the recent experiment of $α$-RuCl$_3$, the signature of a nematic transition to the gapped toric code phase, which breaks the $C_3$ symmetry of the system, has been observed through the angle dependence of the heat capacity. We here propose a mechanism by which the nematic transition can be detected electrically. This is seemingly impossible because $J_\textrm{eff}=1/2$ spins do not have an electric quadrupole moment (EQM). However, in the second-order perturbation the virtual state with a nonzero EQM appears, which makes the nematic order parameter detectable by nuclear magnetic resonance and Mössbauer spectroscopy. The purely magnetic origin of EQM is different from conventional electronic nematic phases, allowing the direct detection of the realization of Kitaev's toric error-correction code.
