| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Local Heating in a Normal-Metal–Quantum-Dot–Superconductor System without Electric Voltage Bias |
| Li-Ling Zhou**, Xue-Yun Zhou, Rong Cheng, Cui-Ling Hou, Hong Shen |
Department of Physics, Jiujiang University, Jiujiang 332005
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| Cite this article: |
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Li-Ling Zhou, Xue-Yun Zhou, Rong Cheng et al 2017 Chin. Phys. Lett. 34 067101 |
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Abstract We investigate the heat generation $Q$ in a quantum dot (QD), coupled to a normal metal and a superconductor, without electric bias voltage. It is found that $Q$ is quite sensitive to the lead temperatures $T_{\rm L,R}$ and the superconductor gap magnitude ${\it \Delta}$. At $T_{\rm L,R}\ll \omega_0$ ($\omega_0$ is the phonon frequency), the superconductor affects $Q$ only at ${\it \Delta} < \omega_0$, and the maximum magnitude of negative $Q$ appears at some ${\it \Delta}$ slightly smaller than $\omega_0$. At elevated lead temperature, contribution to $Q$ from the superconductor arises at ${\it \Delta}$, ranging from less than to much larger than $\omega_0$. However, the peak value of $Q$ is several times smaller than that in the case of $T_{\rm L,R}\ll \omega_0$. Interchanging lead temperatures $T_{\rm L}$ and $T_{\rm R}$ leads to quite different $Q$ behaviors, while this makes no difference for a normal-metal–quantum-dot–normal-metal system, and the QD can be cooled much more efficiently when the superconductor is colder.
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Received: 17 February 2017
Published: 23 May 2017
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| PACS: |
71.38.-k
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(Polarons and electron-phonon interactions)
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73.63.Kv
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(Quantum dots)
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73.63.-b
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(Electronic transport in nanoscale materials and structures)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 11164011. |
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