We describe a mechanism for order fractionalization in a two-dimensional Kondo lattice model, in which electrons interact with a gapless spin liquid of Majorana fermions described by the Yao-Lee model. When the Kondo coupling to the conduction electrons exceeds a critical value, the model develops a superconducting instability into a state with a a spinor order parameter with charge $e$ and spin $S=\frac{1}{2}$. The broken symmetry state develops a gapless Majorana Dirac cone in the bulk. By including an appropriate gauge string, we can show that the charge $e$, spinorial order develops off-diagonal long-range order that allows electrons to coherently tunnel arbitrarily long distances through the spin liquid.

中文翻译：

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Kitaev-Kondo 模型中的阶次细分

我们描述了二维 Kondo 晶格模型中的有序分馏机制，其中电子与 Yao-Lee 模型描述的马约拉纳费米子的无间隙自旋液体相互作用。当 Kondo 与传导电子的耦合超过临界值时，模型将超导不稳定性发展为具有带电荷的自旋有序参数的状态$e$和旋转$\mathrm{小号}=\frac{1}{2}$. 破坏的对称状态在本体中形成了一个无间隙的马约拉纳狄拉克锥。通过包括适当的仪表串，我们可以证明电荷$e$，自旋有序发展出非对角线长程有序，允许电子通过自旋液体相干地隧穿任意长距离。