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Frequency-dependent admittance of a three-probe mesoscopic conductor

By considering of two factors, the hopping of electrons between different channels in the scattering on the interfaces of different regions the contact effect, we investigate in a self-consistent manner the frequency-dependent admittance of a three-probe mesoscopic conductor connected with wide reservoirs. Results indicate that the frequency-dependent admittance shows two different responses to an external ac voltage, namely, inductive-like and capacitive-like, which depend on the sign of the matrix elements of the admittance. Importantly, the contact effect can cause a significant difference in the frequency-dependent electrons transport properties, especially in high-frequency cases.