Detailed study of nonlinear cooling with two-terminal configurations of topological edge states
arXiv:2007.07315 · doi:10.1103/PhysRevB.102.155434
Abstract
We study the nonlinear thermoelectric cooling performance of a quantum spin Hall system. The setup consists of a nanomagnet contacting a Kramers' pair of helical edge states, resulting in a transmission probability with a rich structure containing peaks, well-type, and step-type features. We present a detailed analysis of the impact of all these features on the cooling performance, based to a large extent on analytical results. We analyze the cooling power as well as the coefficient of performance of the device. Since the basic features we study may be present in the transmission function of other mesoscopic conductors, our conclusions provide useful insights to analyze the nonlinear thermoelectric behavior of a wide class of quantum devices. The combination of all these properties define the response of the quantum spin Hall setup, for which we provide some realistic estimates for the conditions limiting and optimizing its operation as a cooling device.
arXiv comment19 pages, 18 figures
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- Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
- Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
- Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
- Thermoelectric cooling properties of a quantum Hall Corbino device
- Thermoelectric cooling of a finite reservoir coupled to a quantum dot
- Potential barriers are nearly-ideal quantum thermoelectrics at finite power output