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Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations

Robert Hussein and Sigmund Kohler
Ann. Phys. (Berlin) 527, 610 (2015)

We investigate electron transport in two quantum circuits with mutual Coulomb interaction. The first circuit is a double quantum dot connected to two electron reservoirs, while the second one is a quantum point contact in the weak tunneling limit. The coupling is such that an electron in the first circuit enhances the barrier of the point contact and, thus, reduces its conductivity. While such setups are frequently used as charge monitors, we focus on two different aspects. First, we derive transport coefficients which have recently been employed for testing generalized equilibrium conditions known as exchange fluctuation relations. These formally exact relations allow us to test the consistency of our master equation approach. Second, a biased point contact entails noise on the double quantum dot and induces non-equilibrium phenomena such as a ratchet current.
arXiv:1503.00534 [cond-mat]

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last modified: 18.11.2024 by Sigmund Kohler