Fermionized parafermions and symmetry-enriched Majorana modes
Fermionized parafermions and symmetry-enriched Majorana modes
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DOI：
10.1103/physrevb.98.085143
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发表时间：
2018-02
影响因子：
3.7
通讯作者：
Aaron Chew;David F. Mross;J. Alicea
中科院分区：
文献类型：
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作者：
Aaron Chew;David F. Mross;J. Alicea
准零模是Majorana模的推广，它是相对丰富的非阿贝尔任意子性质的基础。我们引入了将准费米子链连接到严格的一维费米子系统的精确映射，这种准费米子链可以出现在二维分馏介质中。特别是，我们证明了在前一种情况下，准费米子零模转化为对称性丰富的Majorana模，这些模与体序参数产生的编织和融合性质交织在一起，这在标准的Majorana平台上是不可能的。对称性丰富的Majorana模的聚变特性直接继承于相关的准分子系统，并且可以通过我们构造的两种反常泵浦循环来探测。最值得注意的是，我们的映射将ℤ_4准费米子与具有时间反转对称性的常规电子联系在一起。在这种情况下，我们的泵浦方案之一只需要相当小的实验要求：在平凡的相位和时间反转不变的拓扑超导态之间循环弱关联的导线产生具有四倍周期的边缘磁化。我们的工作突出了在实验相关的一维电子平台上探索Beyond-Majorana物理的新途径，包括近似化的铁磁链。
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 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, including proximitized ferromagnetic chains.