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Statistics of heat transport across a capacitively coupled double quantum dot circuit

Yadalam, Hari Kumar and Harbola, Upendra (2019) Statistics of heat transport across a capacitively coupled double quantum dot circuit. In: PHYSICAL REVIEW B, 99 (19).

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Official URL: http://doi.org/ 10.1103/PhysRevB.99.195449


We study heat current and the full statistics of heat fluctuations in a capacitively coupled double quantum dot system. This work is motivated by recent theoretical studies and experimental works on heat currents in quantum dot circuits. As expected intuitively, within the (static) mean-field approximation, the system at steady state decouples into two single-dot equilibrium systems with renormalized dot energies, leading to zero average heat flux and fluctuations. This reveals that dynamic correlations induced between electrons on the dots are solely responsible for the heat transport between the two reservoirs. To study heat current fluctuations, we compute the steady-state cumulant generating function for heat exchanged between reservoirs using two approaches: the Lindblad quantum master equation approach, which is valid for arbitrary Coulomb interaction strength but weak system-reservoir coupling strength, and the saddle point approximation for the Schwinger-Keldysh coherent-state path integral, which is valid for arbitrary system-reservoir coupling strength but weak Coulomb interaction strength. Using thus obtained generating functions, we verify the steady-state fluctuation theorem for stochastic heat flux and study the average heat current and its fluctuations. We find that the heat current and its fluctuations change nonmonotonically with the Coulomb interaction strength (U) and system-reservoir coupling strength (Gamma) and are suppressed for large values of U and Gamma.

Item Type: Journal Article
Additional Information: copyright for this article belongs to PHYSICAL REVIEW B
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited: 24 Jun 2019 20:06
Last Modified: 24 Jun 2019 20:06
URI: http://eprints.iisc.ac.in/id/eprint/63054

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