论文标题
表面上金属原子电线的尺寸
Dimensionality of metallic atomic wires on surfaces
论文作者
论文摘要
我们研究了沉积在半导体底物上的金属原子电线中的低能集体电荷激发（等离子体，圆顶）。这些系统由代表强烈各向异性晶格或弱耦合链的二维相关模型描述。完善的理论方法和结果用于研究其特性：各向异性费米液体的随机相位近似以及耦合的tomonaga-luttinger液体以及伯特ANSATZ和bethe ansatz和密度 - 米特里克斯型重新分配组的持续近似。我们表明，费米和tomonaga-luttinger液体理论预测了在长波长度下激发的分散的相同定性行为。此外，它们的缩放量取决于有效电子 - 电子相互作用的选择，但并未表征金属状态的维度。我们的结果还表明，由于电线之间的耦合，这种各向异性相关系统可以表现出二维分散体，但仍然是准二维强度强的各向异性导体或保留tomonaga-luttinger液体的典型特征，例如菲尔米能量状态状态下的势力施加。因此，Au/Ge（100）等原子材料可能会表现出与一个和二维金属相关的特征混合物。
We investigate the low-energy collective charge excitations (plasmons, holons) in metallic atomic wires deposited on semiconducting substrates. These systems are described by two-dimensional correlated models representing strongly anisotropic lattices or weakly coupled chains. Well-established theoretical approaches and results are used to study their properties: random phase approximation for anisotropic Fermi liquids and bosonization for coupled Tomonaga-Luttinger liquids as well as Bethe Ansatz and density-matrix renormalization group methods for ladder models. We show that the Fermi and Tomonaga-Luttinger liquid theories predict the same qualitative behavior for the dispersion of excitations at long wave lengths. Moreover, their scaling depends on the choice of the effective electron-electron interaction but does not characterize the dimensionality of the metallic state. Our results also suggest that such anisotropic correlated systems can exhibit two-dimensional dispersions due to the coupling between wires but remain quasi-one-dimensional strongly anisotropic conductors or retain typical features of Tomonaga-Luttinger liquids such as the power-law behaviour of the density of states at the Fermi energy. Thus it is possible that atomic wire materials such as Au/Ge(100) exhibit a mixture of features associated with one and two dimensional metals.
