Papers › Drude weight in systems with open boundary conditions

Drude weight in systems with open boundary conditions

8 Jul 2020arXiv:2007.04143links table onlyarchive 2025-07-28

Gabriele Bellomia, Raffaele Resta

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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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