Dynamical Coulomb blockade of thermal transport

Rosselló, Guillem; López, Rosa; Sánchez, Rafael

doi:10.1103/physrevb.95.235404

Cited by 27 publications

(29 citation statements)

References 89 publications

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“…For the latter systems, the challenge of analytically understanding their complex behavior is not so much limited by strong coupling corrections, but instead by the energy-structure introduced by the tunnel barrier and the density of states in the electrodes. While these complications already arise for stationary phenomena [1][2][3][4][5][6][7], they tend to proliferate when turning to more complicated situations involving the time-dependent response or coherent quantum effects or a combination thereof.…”

Section: Introductionmentioning

confidence: 99%

Duality for open fermion systems: Energy-dependent weak coupling and quantum master equations

2018

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Open fermion systems with energy-independent bilinear coupling to a fermionic environment have been shown to obey a general duality relation [Phys. Rev. B 93, 81411 (2016)] which allows for a drastic simplification of time-evolution calculations. In the weak-coupling limit, such a system can be associated with a unique dual physical system in which all energies are inverted, in particular the internal interaction. This paper generalizes this fermionic duality in two ways: we allow for weak coupling with arbitrary energy dependence and describe both occupations and coherences coupled by a quantum master equation for the density operator. We also show that whenever generalized detailed balance holds (Kolmogorov criterion), the stationary probabilities for the dual system can be expressed explicitly in terms of the stationary recurrence times of the original system, even at large bias.We illustrate the generalized duality by a detailed analysis of the rate equation for a quantum dot with strong onsite Coulomb repulsion, going beyond the commonly assumed wideband limit. We present predictions for (i) the decay rates for transient charge and heat currents after a gatevoltage quench and (ii) the thermoelectric linear response coefficients in the stationary limit. We show that even for pronouncedly energy-dependent coupling, all nontrivial parameter dependence in these problems is entirely captured by just two well-understood stationary variables, the average charge of the system and of the dual system. Remarkably, it is the latter that often dictates the most striking features of the measurable quantities (e.g., positions of resonances), underscoring the importance of the dual system for understanding the actual one. PACS numbers: 85.75.-d, 73.63.Kv, 85.35.-p 1 Previously referred to as "fermion-parity duality" by us [16-18].arXiv:1808.10223v2 [cond-mat.mes-hall]

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Section: Introductionmentioning

confidence: 99%

Duality for open fermion systems: Energy-dependent weak coupling and quantum master equations

2018

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“…A crucial aspect for an electronic thermal device is how it interacts with its environment. Inelastic transitions in the device can be due to the coupling to fluctuations in the electromagnetic environment [43,48,49], or to phononic [50,51] or magnetic [52] baths. Remarkably in mesoscopic conductors, the dominant interaction can be engineered by introducing additional components which mediate the coupling to the environment, e.g.…”

Section: Introductionmentioning

confidence: 99%

Single-electron thermal devices coupled to a mesoscopic gate

2017

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The cooling effect in an InAs quantum dot subjected to THz irradiation and an external magnetic field X. AbstractWe theoretically investigate the propagation of heat currents in a three-terminal quantum dot engine. Electron-electron interactions introduce state-dependent processes which can be resolved by energydependent tunneling rates. We identify the relevant transitions which define the operation of the system as a thermal transistor or a thermal diode. In the former case, thermal-induced charge fluctuations in the gate dot modify the thermal currents in the conductor with suppressed heat injection, resulting in huge amplification factors and the possible gating with arbitrarily low energy cost. In the latter case, enhanced correlations of the state-selective tunneling transitions redistribute heat flows giving high rectification coefficients and the unexpected cooling of one conductor terminal by heating the other one. We propose quantum dot arrays as a possible way to achieve the extreme tunneling asymmetries required for the different operations.

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“…This situation is different for transport through a quantum dot connecting source and drain lead. In the latter case, random fluctuations of the electrostatic potential caused by the nearby, capacitively coupled gate dot [36,37] (or simply environmental fluctua-tions [8,81,86,87]) do induce energy exchange between the source-drain system and the base part in general. Exceptions have been identified involving particular tunneling rate configurations or strongly coupled dots [36,37].…”

Section: Introductionmentioning

confidence: 99%

Thermal transistor and thermometer based on Coulomb-coupled conductors

et al. 2019

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We study a three-terminal setup consisting of a single-level quantum dot capacitively coupled to a quantum point contact. The point contact connects to a source and drain reservoirs while the quantum dot is coupled to a single base reservoir. This setup has been used to implement a noninvasive, nanoscale thermometer for the bath reservoir by detecting the current in the quantum point contact. Here, we demonstrate that the device can also be operated as a thermal transistor where the average (charge and heat) current through the quantum point contact is controlled via the temperature of the base reservoir. We characterize the performances of this device both as a transistor and a thermometer, and derive the operating condition maximizing their respective sensitivities. The present analysis is useful for the control of charge and heat flow and high precision thermometry at the nanoscale. arXiv:1903.11167v1 [cond-mat.mes-hall]

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Dynamical Coulomb blockade of thermal transport

Cited by 27 publications

References 89 publications

Duality for open fermion systems: Energy-dependent weak coupling and quantum master equations

Duality for open fermion systems: Energy-dependent weak coupling and quantum master equations

Single-electron thermal devices coupled to a mesoscopic gate

Thermal transistor and thermometer based on Coulomb-coupled conductors

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