论文标题
艾子的热干涉法
Thermal interferometry of anyons
论文作者
论文摘要
Anyonic干涉法探测了拓扑有序物质中激发的编织阶段。该技术在分数量子厅效应中为带电的准颗粒建立了很好的确定。我们建议将其扩展到中性的人，例如在Kitaev磁铁中的Anyons和其他中性自旋液体中的准粒子。我们发现，通过干涉仪的热电流对隧穿准颗粒的统计数据很敏感。我们介绍了Fabry-Pérot和Mach-Zehnder干涉仪中各种阿贝尔和非阿贝尔拓扑秩序的特征的系统研究。通过Fabry-Pérot设备的热电流对于不同的拓扑订单而有所不同，并取决于干涉仪内部的拓扑电荷。 Mach-Zhhnder设备仅显示出拓扑琐碎系统的干扰。对于非平凡的统计，热电流减少到干涉仪中两个收缩的贡献之和。此外，我们确定了另一个拓扑顺序的探针，涉及在低温下通过单个隧道接触的热电流缩放。电流显示出通用的温度依赖性，对系统中的拓扑顺序敏感。
Anyonic interferometry probes the braiding phases of excitations in topologically ordered matter. This technique is well established for charged quasiparticles in the fractional quantum Hall effect. We propose to extend it to neutral anyons, such as Ising anyons in Kitaev magnets and quasiparticles in other neutral spin liquids. We find that the thermal current through an interferometer is sensitive to the statistics of tunneling quasiparticles. We present a systematic investigation of signatures of various Abelian and non-Abelian topological orders in Fabry-Pérot and Mach-Zehnder interferometers. The heat current through a Fabry-Pérot device is different for different topological orders and depends on the topological charge inside the interferometer. A Mach-Zehnder device shows interference in topologically trivial systems only. For a non-trivial statistics, the heat current reduces to the sum of the contributions from two constrictions in the interferometer. Furthermore, we identify another probe of topological order that involves the scaling of the thermal current through a single tunneling contact at low temperatures. The current shows a universal temperature dependence, sensitive to the topological order in the system.
