Current noise cross correlations in multiple mesoscopic conductors

We analyze the current noise cross correlations (CCs) between the currents through two mesoscopic conductors without direct interaction, where a connected conductor is capacitively coupled with them. We demonstrate that the CCs between two indirectly coupled conductors do not decrease when the device works at low bias voltages. More importantly, the competitive or cooperative relationship between two currents is also unpredictable, which depends on the level configuration and the property of the connected conductor. Even when the CCs between directly coupled channels vanish, the tunneling currents through two indirectly coupled conductors are still strongly correlated.