扭曲双层石墨烯中的阿哈罗诺夫 - 卡什尔相位
Aharonov-Casher phase in twisted bilayer graphene
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中文总结 AI 辅助
研究扭曲双层石墨烯中电子的阿哈罗诺夫 - 卡什尔相位，通过\(SU(2)\)矢量势确定相位并对哈密顿量规范变换，发现该相位与电场呈线性关系且在魔角处有尖锐峰值。
中文摘要 AI 辅助
阿哈罗诺夫 - 卡什尔（AC）效应是一种量子力学现象，具有磁矩的粒子在电场区域运动时，其波函数因自旋 - 轨道相互作用产生相移，即使无经典力作用，该相移也取决于粒子运动介质。本文聚焦于在\(x - y\)平面的扭曲双层石墨烯（TBG）中运动的电子的AC相位，该石墨烯受垂直于其平面的均匀电场\({\bf E}=E{\hat{\bf z}}\)作用。AC相位由\(SU(2)\)矢量势\({\bf A}\)确定，从中产生相位因子并用于对哈密顿量进行规范变换。我们发现AC相位与\(E\)呈线性关系且在魔角处出现尖锐峰值。
英文摘要
The Aharonov-Casher (AC) effect is a quantum mechanical phenomenon in which the wave function of a particle with a magnetic moment moving in a region subject to an electric field develops a phase shift due to spin-orbit interaction, even if no classical force acts on it. This phase also depends on the medium through which the particle moves. Here we focus on the AC phase of an electron moving in twisted bilayer graphene (TBG) lying in the $x$-$y$ plane, subject to a uniform electric field perpendicular to the plane of the graphene, ${\bf E}=E{\hat{\bf z}}$. The AC phase is determined by an $SU(2)$ vector potential ${\bf A}$ from which a phase factor is generated, and used to perform a gauge transformation of the Hamiltonian. We find that the AC phase for a straight line path between two points in the TBG plane is linear with $E$ and exhibits sharp peaks at the magic angles. To help demonstrate an experimental method for determining the AC phase, we examine the probability of polarized electron propagation from a source tip to a drain tip in a double-tip scanning tunneling spectroscopy configuration.
