费米子化的副费米子和富费米子的Majorana模
Fermionized parafermions and symmetry-enriched Majorana modes
摘要：
仿费米子零模是马约拉纳模的推广，它是相对丰富的非阿贝尔-任意子性质的基础。我们引入精确的映射，连接parafermion链，它可以出现在二维的分形介质，严格的一维费米子系统。特别是，我们表明，parafermion零模式在前一个设置转换成“丰富的马约拉纳模式”，与批量序参量-产生编织和融合性能，是不可能在标准的马约拉纳平台的interpersonal。富氦Majorana模式的融合特性直接继承自相关的parafermion设置，并可以通过我们构建的两种异常泵浦周期进行探测。最值得注意的是，我们的映射与$\mathbb{Z}_4$ parafermion的传统电子的时间反演对称性。在这种情况下，我们的一个泵浦协议需要相当少的实验要求：在平凡的相位和时间反转不变的拓扑超导状态之间循环弱相关的导线，产生具有四倍周期性的边缘磁化。我们的工作突出了在实验相关的一维电子平台上探索“超越马约拉纳”物理学的新途径。
英文摘要：
Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized media, to strictly one-dimensional fermionic systems. In particular, we show that parafermion zero modes in the former setting translate into 'symmetry-enriched Majorana modes' that intertwine with a bulk order parameter---yielding braiding and fusion properties that are impossible in standard Majorana platforms. Fusion characteristics of symmetry-enriched Majorana modes are directly inherited from the associated parafermion setup and can be probed via two kinds of anomalous pumping cycles that we construct. Most notably, our mappings relate $\mathbb{Z}_4$ parafermions to conventional electrons with time-reversal symmetry. In this case, one of our pumping protocols entails fairly minimal experimental requirements: Cycling a weakly correlated wire between a trivial phase and time-reversal-invariant topological superconducting state produces an edge magnetization with quadrupled periodicity. Our work highlights new avenues for exploring 'beyond-Majorana' physics in experimentally relevant one-dimensional electronic platforms.
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