论文标题

在有开放边界条件的系统中的drude重量

Drude weight in systems with open boundary conditions

论文作者

Bellomia, Gabriele, Resta, Raffaele

论文摘要

多电子导电系统会响应宏观场而进行自由加速。 drude重量$ d $ ---也称为电荷刚度---测量电子的绝热惯性; $ d $正式表达需要定期边界条件。相反,当一个有界的样品在开放边界条件下被解决时,没有电流流量和常数(外部)场仅使样品极化:法拉第笼效应。但是,低频场引起强制振荡:我们在这里表明,有限系统的低频线性响应以绝热惯性为主,并允许$ d $的替代评估。模型一维系统的模拟演示了我们的主要信息。

A many-electron conducting system undergoes free acceleration in response to a macroscopic field. The Drude weight $D$---also called charge stiffness---measures the adiabatic (inverse) inertia of the electrons; the $D$ formal expression requires periodic boundary conditions. When instead a bounded sample is addressed within open boundary conditions, no current flows and a constant (external) field only polarizes the sample: the Faraday cage effect. Nonetheless a low-frequency field induces forced oscillations: we show here that the low-frequency linear response of the bounded system is dominated by the adiabatic inertia and allows an alternative evaluation of $D$. Simulations on model one-dimensional systems demonstrate our main message.

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