Photon-Mediated Thermoelectric and Heat Currents through a Resonant Quantum Wire-Cavity System

Nzar Abdullah,Rawezh Marif,Hunar Rashid

doi:10.3390/en12061082

Nzar Abdullah, Rawezh Marif + Show 1 more

Open Access

https://doi.org/10.3390/en12061082

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Abstract

We theoretically consider a short quantum wire, which on both ends is connected to leads that have different temperatures. The quantum wire is assumed to be coupled to a cavity with a single-photon mode. We calculate the heat and thermoelectric currents in the quantum wire under the effect of the photon field. In the absence of the photon field, a plateau in the thermoelectric current is observed due to the thermal smearing at a high temperature gradient. In the presence of the resonance photon field, when the energy spacing between the lowest states of the quantum wire is approximately equal to the photon energy, a suppression in thermoelectric current and negativity in the heat current are seen due to the dressed electron-photon states. It is also found that the cavity with high photon energy has more influence on the thermoelectric current at a high temperature gradient.

Highlights

Efficient energy consumption is one of the most important areas of research in bulk [1,2] and nanoscale materials [3]
In order to obtain the thermoelectric and heat currents in the system, we considered the chemical potential of the leads to be equal μ L = μ R, and the temperature of the leads were changed
We have analyzed thermoelectric effects in a quantum wire attached to two electronic reservoirs of different temperatures

Summary

Introduction

Efficient energy consumption is one of the most important areas of research in bulk [1,2] and nanoscale materials [3]. The thermoelectric current between two materials, mediated by photon fluctuations, can be enhanced with an intermediate quantum circuit, leading to the device concept of a mesoscopic photon heat transistor [27]. We investigate thermoelectric and heat transport through a quantum wire coupled to two leads that are at different temperatures. (b) The potential Vr (r) defining the central quantum wire that will be coupled diametrically to the semi-infinite left and right leads in the x-direction. The reduced density operator ρS that defines the state of the electrons in the quantum wire under the influence of the leads is: ρS (t) = Trl [ρ(t)],.

Results

The Quantum Wire without Photon Field

The Quantum Wire with Photon Field

Conclusions