论文标题
拓扑合成性围绕效应
Topological symplectic Kondo effect
论文作者
论文摘要
已经提出了与量子杂质相互作用的多个传导通道 - 常规``多通道临床效应''或拓扑介质设备（````拓扑辛多效应''''）的自旋。但是，上述实现需要完美的频道对称性或使用Majorana费米子。在这里，我们提出了一个无主要的介质设置，该设置实现了象征性谎言组的临界效应，并且即使没有完美的频道对称性，也可以怀有新兴的人（包括Majorana Fermions，fibonacci Anyons和$ \ Mathbb Z_3 $ parafermions）。除了实施的详细处方外，我们还通过将模型映射到与内部$ SU（2）$对称和利用形式的共形场理论（CFT）相关的多渠道临界效应来提出强耦合解决方案，以预测包括电导率的各种可观察力的物质的非客气缩放，包括温度的功能。这项工作不仅为稳健的基于近核的Anyon平台打开了大门，而且还阐明了与竞争订单参数强相关材料的物理学。
Multiple conduction channels interacting with a quantum impurity -- a spin in the conventional ``multi-channel Kondo effect'' or a topological mesoscopic device (``topological Kondo effect'') -- has been proposed as a platform to realize anyonic quasi-particles. However, the above implementations require either perfect channel symmetry or the use of Majorana fermions. Here we propose a Majorana-free mesoscopic setup which implements the Kondo effect of the symplectic Lie group and can harbor emergent anyons (including Majorana fermions, Fibonacci anyons, and $\mathbb Z_3$ parafermions) even in the absence of perfect channel symmetry. In addition to the detailed prescription of the implementation, we present the strong coupling solution by mapping the model to the multi-channel Kondo effect associated to an internal $SU(2)$ symmetry and exploit conformal field theory (CFT) to predict the non-trivial scaling of a variety of observables, including conductance, as a function of temperature. This work does not only open the door for robust Kondo-based anyon platforms, but also sheds light on the physics of strongly correlated materials with competing order parameters.
