AI 中文总结
本研究通过连续介质方法研究扭转石墨烯环面桥中的狄拉克费米子，发现扭转产生几何相位并增强势垒，从而抑制层间透射，为机械调控量子输运提供新途径。
AI 中文摘要
非平凡背景几何与量子动力学之间的相互作用已成为调控二维材料电子性质的有力工具。在本工作中，我们研究了被限制在称为环面桥的扭转石墨烯结构中的无质量狄拉克费米子的有效量子动力学，该结构连接两个单层片。通过采用连续介质方法，其中电子动力学由纯协变弯曲狄拉克方程控制，我们获得了包含曲率和扭转相互作用的有效哈密顿量。我们发现扭转通过波函数上产生几何相位来改变电子态。此外，扭转还使表面几何发生形变，从而在有效哈密顿量中引入新的几何项。这种扭转势增强了环面喉部周围的势垒，从而增加了层间透射系数的抑制。与自旋-曲率相互作用类似，自旋-扭转项具有手性依赖性，该依赖性在联合宇称和自旋翻转变换下保持不变。因此，电子态可以被限制在上层或下层。这些发现为如何利用机械变形来控制基于石墨烯的虫洞结构中的量子输运提供了有价值的见解。
英文摘要
The interplay between non-trivial background geometries and quantum dynamics has emerged as a powerful tool to tailor the electronic properties of 2D materials. In this work, we investigate the effective quantum dynamics of massless Dirac fermions confined to a twisted graphene structure called a catenoid bridge, which connects two single-layer sheets. By adopting a continuum approach, where the electron dynamics is governed by a purely covariant curved Dirac equation, we obtain the effective Hamiltonian containing both curvature and twist interactions. We found that the torsion modifies the electronic states by producing a geometric phase on the wave function. In addition, the twist also deforms the surface geometry, which leads to a new geometric term in the effective Hamiltonian. This twist potential enhances the barrier around the catenoid throat, which increases the suppression of the inter-layer transmission coefficient. Like the spin-curvature interaction, the spin-twist term has a chiral dependence which is invariant under a combined parity and spin flip transformation. As a result, the electronic states can be restricted to the upper or lower layer. These findings provide valuable insights into how mechanical deformations can be harnessed to control quantum transport in graphene-based wormhole architectures.
Comments28 pages
