Thermal rectification through a nonlinear quantum resonator

Bhandari, Bibek; Erdman, Paolo Andrea; Fazio, Rosario; Paladino, E.; Taddei, F.

doi:10.1103/physrevb.103.155434

Cited by 35 publications

(22 citation statements)

References 69 publications

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“…happens when only sequential processes are considered; (ii) in the closed-circuit setup of a doubly-degenerate level, cotunneling corrections to the forward heat current are opposite to the corrections to the backward heat current, thus yielding rectification enhancement when cotunneling lowers the magnitude of the two currents (an analogous result was reported in reference [33]); (iii) in the case of two non-degenerate levels, in the open-circuit setup, cotunneling always increases the currents with respect to the sequential regime; (iv) in all cases there exists ranges of values of the levels' position where rectification is enhanced by cotunneling.…”

Section: Introductionsupporting

confidence: 54%

Heat rectification through single and coupled quantum dots

et al. 2022

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We study heat rectification through quantum dots in the Coulomb blockade regime using a master equation approach. We consider both cases of two-terminal and four-terminal devices. In the two- terminal configuration, we analyze the case of a single quantum dot with either a doubly-degenerate level or two non-degenerate levels, and the case of a collection of N Coulomb-coupled quantum dots. In the sequential tunneling regime we analyze the behaviour of heat currents and rectification as functions of the position of the energy levels and of the temperature bias. In particular, we derive an upper bound for rectification in the closed-circuit setup with the doubly-degenerate level. We also prove the absence of a bound for the case of two non-degenerate levels and identify the ideal system parameters to achieve nearly perfect rectification. The second part of the paper deals with the effect of second-order cotunneling contributions, including both elastic and inelastic processes. In all cases we find that there exists ranges of values of parameters (such as the levels’ position) where rectification is enhanced by cotunneling. In particular, in the doubly-degenerate level case we find that cotunneling corrections can enhance rectification when they reduce the magnitude of the heat currents. For the four-terminal configuration, we analyze the non-local situation of two Coulomb- coupled quantum dots, each connected to two terminals: the temperature bias is applied to the two terminals connected to one quantum dot, while the heat currents of interest are the ones flowing in the other quantum dot. Remarkably, in this situation we find that non-local rectification can be perfect as a consequence of the fact that the heat currents vanish for properly tuned parameters.

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Section: Introductionsupporting

confidence: 54%

Heat rectification through single and coupled quantum dots

et al. 2022

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“…However, heat current rectification becomes possible if one breaks the symmetry of the structure (Segal and Nitzan, 2005). Heat recitification (Ruokola, Ojanen, and Jauho, 2009;Sothmann et al, 2012;Sánchez, Sothmann, and Jordan, 2015;Purkayastha, Dhar, and Kulkarni, 2016b;Motz et al, 2018;Goury and Sánchez, 2019;Kargı et al, 2019;Riera-Campeny et al, 2019;Bhandari et al, 2021;Iorio et al, 2021) can be quantified in different ways, but in general finite rectification means that the magnitudes of forward and reverse heat currents differ under identical but opposite temperature biasing conditions. There have been a few experiments on heat current rectification, including ones on phonons in carbon nanotubes (Chang et al, 2006), electrons in quantum dots (Scheibner et al, 2008), mesoscopic tunnel junctions (Martínez-Pérez, Fornieri, and Giazotto, 2015), and suspended graphene (Wang et al, 2017).…”

Section: B Thermal Rectifiermentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

2021

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“…However, heat current rectification becomes possible if one breaks the symmetry of the structure (Segal and Nitzan, 2005). Heat recitification (Bhandari et al, 2021;Goury and Sánchez, 2019;Iorio et al, 2021;Kargı et al, 2019;Motz et al, 2018;Riera-Campeny et al, 2019;Ruokola et al, 2009;Sánchez et al, 2015;Segal and Nitzan, 2005;Sothmann et al, 2012) can be quantified in different ways, but in general finite rectification means that the magnitudes of forward and reverse heat currents differ under identical but opposite temperature biasing conditions. There exist a few experiments on heat current rectification, e.g.…”

Section: B Thermal Rectifiermentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

Pekola,

Karimi

2021

Preprint

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In this Colloquium recent advances in the field of quantum heat transport are reviewed. This topic has been investigated theoretically for several decades, but only during the past twenty years have experiments on various mesoscopic systems become feasible. A summary of the theoretical basis for describing heat transport in one-dimensional channels is first provided. Then the main experimental investigations of quantized heat conductance due to phonons, photons, electrons, and anyons in such channels are presented. These experiments are important for understanding the fundamental processes that underly the concept of a heat conductance quantum for a single channel. Then an illustration on how one can control the quantum heat transport by means of electric and magnetic fields, and how such tunable heat currents can be useful in devices is given. This lays the basis for realizing various thermal device components such as quantum heat valves, rectifiers, heat engines, refrigerators, and calorimeters. Also of interest are fluctuations of quantum heat currents, both for fundamental reasons and for optimizing the most sensitive thermal detectors; at the end of the review the status of research on this intriguing topic is given.

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Thermal rectification through a nonlinear quantum resonator

Cited by 35 publications

References 69 publications

Heat rectification through single and coupled quantum dots

Heat rectification through single and coupled quantum dots

Colloquium: Quantum heat transport in condensed matter systems

Colloquium: Quantum heat transport in condensed matter systems

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