标题： 金纳米管中由于电子效应导致的连续弹性分解 显示英文标题

标题： Breakdown of continuum elasticity due to electronic effects in gold nanotubes

摘要： 最近的一项实验报告称，创造出了金烯，这是一种具有六边形结构的二维金。 通过将金烯卷起，应该存在金纳米管（GNT），但它们的结构和电子性质尚未被充分理解。 基于第一性原理计算，我们证明了反平方定律的破坏，其中在GNT中储存的曲率能量随着GNT半径的平方的倒数而减少。 这是由于特定GNT中在费米能级附近具有几乎平坦带的增强曲率能量所致。 我们通过使用布洛赫和几何边界条件，展示了GNT平坦带上的电子态反映了金烯的费米面上的态，并且后者的面内特性增强了曲率能量。 显示英文摘要

摘要： A recent experiment reports a creation of goldene, which is two-dimensional gold with hexagonal structure. By rolling up the goldene, gold nanotubes (GNT) should exist, but their structural and electronic properties are not understood well. Based on first-principles calculations, we demonstrate a breakdown of inverse square law, wherein the curvature energy stored in a GNT decreases with the inverse square of the GNT radius. This is due to the enhanced curvature energy in specific GNTs having nearly flat bands around the Fermi level. We show that the electron states on the flat band of GNT reflect those on the Fermi surface of goldene by using the Bloch and geometric boundary conditions, and that in-plane character of the latter states enhances the curvature energy.