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二维手征超导体中涡旋宇称的自校准热干涉测量

Self-calibrating thermal interferometry of vortex parity in a two-dimensional chiral superconductor

Kumar Ghosh

arXiv 2608.19343首次发表:更新:

AI 中文总结

本研究提出利用本征二维手征超导体的可重构手征畴壁,通过其弹道通道的量子化热导计数马约拉纳模式,并借助法布里-珀罗谐振器的热导频谱分辨涡旋宇称,结合菱面石墨烯参数在毫开尔文温度下可实现测量。

AI 中文摘要

手征超导体沿其边界携带手征马约拉纳模式,计数这些模式的整数决定了后续所有性质,但该整数从未与单个对象上的局域宇称可观测量同时被测量。邻近效应诱导的一维导线可快速读取费米子宇称,但需通过独立协议诊断体拓扑。本文表明,本征二维手征超导体中相反陈数区域间的可重构畴壁兼具两种功能:当畴壁与触点连通时,它是弹道通道,其量子化热导可计数马约拉纳模式;当畴壁闭合时,它是法布里-珀罗谐振器,当 enclosed涡旋的宇称改变时,其频谱会移动半个能级间距,从而产生二能级热导。我们推导了精确透射率、弹性热全计数统计,以及一个定理,表明固定二次问题的线性响应热散射可分辨涡旋宇称,但无法分辨相距较远的涡旋核的融合通道。与畴壁杂化的外部涡旋是本征假阳性;温度、几何结构和有限偏置的均值-噪声测试可将其区分。菱面石墨烯参数使亚微米环路在毫开尔文温度下处于可分辨区域,而手征畴重构和噪声测温均已在该温度下实现。

英文摘要

A chiral superconductor carries chiral Majorana modes along its boundary, and the integer that counts them fixes everything that follows, yet that integer has never been measured together with a local parity observable on one object. Proximitized one-dimensional wires read fermion parity rapidly but diagnose bulk topology through a separate protocol. Here we show that a reconfigurable domain wall between regions of opposite Chern number in an intrinsic two-dimensional chiral superconductor performs both functions. Opened to its contacts the wall is a ballistic channel whose quantized thermal conductance counts its Majorana modes; closed, the same wall is a Fabry--Pérot resonator whose spectrum shifts by half a level spacing when the parity of the enclosed vortices changes, giving a two-level heat conductance. We derive the exact transmission, the elastic heat full counting statistics, and a theorem showing that linear-response heat scattering of a fixed quadratic problem resolves vortex parity but not the fusion channel of well-separated cores. An outside vortex hybridized with the wall is an intrinsic false positive; temperature, geometry and a finite-bias mean--noise test separates it. Rhombohedral-graphene parameters place submicron loops in the resolved regime at millikelvin temperatures, where chiral-domain reconfiguration and noise thermometry are both established.

Comments18 pages 6 figures

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