发表机构
Universidad Nacional del Sur; CONICET（南方国立大学; 阿根廷国家科学研究委员会）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在(2+1)维弯曲时空下，针对不对称石墨烯虫洞中的狄拉克费米子输运，推导了散射基函数、构造转移矩阵，揭示了透射概率、赝自旋极化等特性，为相关量子输运研究提供了理论依据。
AI 中文摘要
我们研究了在(2+1)维弯曲时空中，质量为零的狄拉克费米子通过由结构不对称悬链状虫洞连接的两个渐近平坦石墨烯片的量子输运。推导了解析散射基函数：平坦片层中的整数阶汉克尔函数（半通量区）和弯曲喉部的高斯超几何函数。我们通过分段数值匹配构造了转移矩阵，验证了其幺正性在数值精度内成立。透射概率在高能时单调上升至1。整体透射在结构不对称性反转下呈现镜像简并，但局域可观测量依赖于入射方向。该流形的自旋连接作为厄米耦合，在喉部诱导A/B子晶格失衡。结构不对称性诱导局域赝自旋失衡。更大的曲率半径通过更大的几何相位增强Pz极化；突变入射会抑制它。势垒下模式表现出负的透射相位时间，与哈特曼型波包整形兼容。
英文摘要
We calculate massless Dirac scattering and the conductance response to a localized scalar ring gate in a graphene wormhole with two independent curvature scales and no axial magnetic flux. Matching Hankel and Gauss hypergeometric spinors gives the unperturbed scattering states. Interchanging the throat segments preserves the total Landauer conductance, while a gate at a fixed displaced position produces different conductance changes in the two mirror configurations. For $a=5$~nm and $r_L+r_R=13.68$~nm, a $1$~meV gate of width $1$~nm centered at $u_0=7$~nm gives relative conductance changes of $+0.0718\%$ and $-0.0918\%$ at $E=200$~meV for $η=0.5$ and $2$, respectively. Energy--position maps show how asymmetry redistributes the electrical response. Gates centered well inside both curved segments can give different response magnitudes; opposite signs occur near the mouths and farther out. We also find opposite response signs in the fixed-length comparison at the chosen operating point. For equally occupied opposite angular channels, the sublattice imbalances cancel and the conductance responses add. A spatially controlled gate thus probes throat orientation through conductance even when the unperturbed two-terminal measurement cannot distinguish the two configurations.
Comments14 pages, 6 figures
