AI 中文总结
研究石墨烯纳米螺旋体，通过构建一维晶格模型，用紧束缚近似研究其电学性质和拓扑方面，揭示了宽度和边缘取向变化时的多种趋势，推导解析模型并引入连续变形解释相关现象。
AI 中文摘要
我们引入了石墨烯纳米螺旋体，它是石墨烯纳米带的几何类似物，其中蜂窝晶格嵌入在螺旋面上。从三维螺旋结构出发，我们构建了有效的一维晶格模型，其能带结构由动量偏移的粒子-空穴关系\(E_v(k)=-E_c(k+\pi)\)表征，该关系反映了由非对称对称产生的反螺旋对称。使用紧束缚近似对石墨烯纳米螺旋体进行系统研究，揭示了在改变宽度和边缘取向时的许多趋势，例如半导体和金属状态之间的交替转变。随着结构宽度的变化，带隙周期性地关闭和重新打开，伴随着在平凡和非平凡之间切换的交替Zak相。我们推导了一个解析紧束缚模型，并引入了石墨烯纳米螺旋体的连续变形，解释了宽度依赖的能带反转和交替Zak相的起源。
英文摘要
We introduce graphene nanohelicoids, geometric analogues of graphene nanoribbons, in which the honeycomb lattice is embedded on a helicoidal surface. Starting from the three-dimensional helical structure, we construct effective one-dimensional lattice models with band structures characterized by a momentum-shifted particle-hole relation $E_v(k)=-E_c(k+π)$ that reflects an anti-chiral symmetry arising from the nonsymmorphic symmetry. A systematic investigation of graphene nanohelicoids using the tight-binding approximation reveals a number of trends upon varying width and edge orientation, for instance, alternating transitions between semiconducting and metallic regimes. As the structure width varies, the band gap periodically closes and reopens, accompanied by an alternating Zak phase that switches between trivial and nontrivial. We derive an analytic tight-binding model and introduce a continuous deformation of the graphene nanohelicoids that explains the origin of width-dependent band inversion and alternating Zak phase.
Comments15 pages, 13 figures
