Electronic heat current fluctuations in a quantum dot

Crépieux, Adeline

doi:10.1103/physrevb.103.045427

Cited by 12 publications

(8 citation statements)

References 63 publications

(75 reference statements)

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“…An interesting issue to be still addressed is to understand the behavior of the heat current correlators (noise) in such multi-terminal devices and what information can be extracted from them. Despite being less studied with respect to its charge counterpart, heat current noise is an interesting topic for the community and is being more and more investigated [69][70][71][72][73]. We leave this issue for future works.…”

Section: Discussionmentioning

confidence: 99%

Phase-coherent heat circulators with normal- or superconducting contacts

Acciai,

Hajiloo,

Hassler

et al. 2020

Preprint

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We investigate heat circulators where a phase coherent region is contacted by three leads that are either normal-or superconducting. A magnetic field, and potentially the superconducting phases, allow to control the preferential direction of the heat flow between the three-different temperaturebiased contacts. The main goal of this study is to analyze the requirements for heat circulation in non-ideal devices, in particular focusing on sample-to-sample variations. Quite generally, we find that the circulation performance of the devices is good as long as only a few transport channels are involved. We compare the performance of circulators with normalconducting contacts to those with superconducting contacts and find that the circulation coefficient are essentially unchanged.

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Section: Discussionmentioning

confidence: 99%

Phase-coherent heat circulators with normal- or superconducting contacts

Acciai,

Hajiloo,

Hassler

et al. 2020

Preprint

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“…(133). In studies of high-frequency shot noise for a static bias, the interesting physical observable is usually the static non-symmetrized power spectrum [257][258][259], which is the regular Fourier transform of C αβ (τ ) ≡ lim t 0 →−∞ C αβ (t + τ, t) defined in Eq. ( 133):…”

Section: Non-interacting Systemsmentioning

confidence: 99%

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Ridley,

Talarico,

Karlsson

et al. 2022

Preprint

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss nonequilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -encompassing pump-probe scenarios as well as driven quantum systems -we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system.As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one-and two-dimensional electronic systems, systems with electron-phonon couplings, topological superconductors, and optically responsive molecular junctions where electron-photon couplings are relevant.

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“…Here we review the heat current noise, both classical and quantum, see e.g. (Crépieux, 2021;Karimi and Pekola, 2021;Moskalets, 2014;Pekola and Karimi, 2018;Sánchez and Büttiker, 2012). For simplicity, we consider first the tunneling as an example.…”

Section: Heat Current Noisementioning

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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Electronic heat current fluctuations in a quantum dot

Cited by 12 publications

References 63 publications

Phase-coherent heat circulators with normal- or superconducting contacts

Phase-coherent heat circulators with normal- or superconducting contacts

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Colloquium: Quantum heat transport in condensed matter systems

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