金属碳纳米管中散射体间的Casimir相互作用
Casimir Interactions Between Scatterers in Metallic Carbon Nanotubes
摘要：
我们研究了金属碳纳米管上的局域散射体之间的相互作用映射到一个一维的Casimir问题。电子在局部散射势之间的反向散射介导它们之间的长程力。我们模型的空间局部化的散射体的本地和非本地的潜力和治疗同时intravalley和谷间的后向散射的影响。我们发现，散射体之间的长程力表现出普遍的幂律衰减的Casimir力在一个维度上，与控制的符号和相互作用的强度的前因子。这些前因子是非普适的，并且依赖于散射势的对称性和局部化程度。我们发现，当地的潜力不可避免地导致耦合谷散射问题，虽然相比之下，非本地的潜力导致两个解耦的单谷问题在物理实现的制度。由于两个谷散射势的Casimir效应的特点是空间周期调制的力的外观。
英文摘要：
We study interactions between localized scatterers on metallic carbon nanotubes by a mapping onto a one-dimensional Casimir problem. Backscattering of electrons between localized scattering potentials mediates long range forces between them. We model spatially localized scatterers by local and non-local potentials and treat simultaneously the effects of intravalley and intervalley backscattering. We find that the long range forces between scatterers exhibit the universal power law decay of the Casimir force in one dimension, with prefactors that control the sign and strength of the interaction. These prefactors are nonuniversal and depend on the symmetry and degree of localization of the scattering potentials. We find that local potentials inevitably lead to a coupled valley scattering problem, though by contrast non-local potentials lead to two decoupled single-valley problems in a physically realized regime. The Casimir effect due to two-valley scattering potentials is characterized by the appearance of spatially periodic modulations of the force.
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