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Kitaev自旋液体隧穿谱中通量诱导的阿哈罗诺夫-玻姆振荡

Flux-induced Aharonov-Bohm Oscillation in the Tunneling Spectroscopy of Kitaev Spin Liquids

Wen-Han Kao, Elio J. König

arXiv 2608.23561首次发表:更新:

AI 中文总结

该研究针对Kitaev自旋液体中通量激发与费米子互统计的探测难题,通过理论与数值分析揭示了通量诱导的隧穿谱振荡,为相关统计特征的诊断提供了无需操纵单个任意子的新方法。

AI 中文摘要

识别 emergent 通量激发及其与巡游马约拉纳费米子的互统计特征,仍是Kitaev自旋液体研究的核心挑战。我们证明孤立π通量会在电中性马约拉纳连续谱上留下类阿哈罗诺夫-玻姆干涉的本征图案。结合非弹性电子隧穿谱的空间分辨扫描隧道显微镜(STM-IETS),可探测局域动力学自旋响应中随偏置电压和针尖-通量间距变化的该振荡,反映环绕通量的马约拉纳轨迹获得的π相位。我们对Kitaev honeycomb模型的大规模精确对角化及互补的低能连续谱理论,均得到一致的径向振荡结果。这些结果提供了有限能量、空间分辨的隧穿特征,可用于探测已存在的通量,诊断费米子-通量互统计,无需在Kitaev自旋液体中操纵单个任意子。

英文摘要

Identifying emergent flux excitations and signatures of their mutual statistics with itinerant Majorana fermions remains a central challenge in Kitaev spin liquids. We show that an isolated $π$ flux imprints an intrinsic Aharonov-Bohm-like interference pattern on the charge-neutral Majorana continuum. Spatially resolved scanning tunneling microscopy with inelastic electron tunneling spectroscopy (STM-IETS) probes this oscillation in the local dynamical spin response as a function of both bias voltage and tip-flux separation, reflecting the $π$ phase acquired by Majorana trajectories encircling the flux. We show that large-scale exact diagonalization of the Kitaev honeycomb model and a complementary low-energy continuum theory yield consistent radial oscillations. These results provide a finite-energy, spatially resolved tunneling signature of a preexisting flux and a diagnostic of fermion-flux mutual statistics without requiring manipulation of individual anyons in the Kitaev spin liquid.

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