How to measure the entropy of a mesoscopic system via thermoelectric transport

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作者
Yaakov Kleeorin
Holger Thierschmann
Hartmut Buhmann
Antoine Georges
Laurens W. Molenkamp
Yigal Meir
机构
[1] Ben-Gurion University of the Negev,Department of Physics
[2] University of Chicago,Center for the Physics of Evolving Systems, Biochemistry and Molecular Biology
[3] Delft University of Technology,Kavli Institute of Nanoscience, Faculty of Applied Sciences
[4] Universität Würzburg,Physikalisches Institut (EP III)
[5] Universite Paris-Saclay,Centre de Physique Theorique, Ecole Polytechnique, CNRS
[6] College de France,Center for Computational Quantum Physics
[7] Flatiron Institute,DQMP
[8] Universite de Geneve,The Ilse Katz Institute for Nanoscale Science and Technology
[9] Ben-Gurion University of the Negev,undefined
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Nature Communications | / 10卷
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摘要
Entropy is a fundamental thermodynamic quantity indicative of the accessible degrees of freedom in a system. While it has been suggested that the entropy of a mesoscopic system can yield nontrivial information on emergence of exotic states, its measurement in such small electron-number system is a daunting task. Here we propose a method to extract the entropy of a Coulomb-blockaded mesoscopic system from transport measurements. We prove analytically and demonstrate numerically the applicability of the method to such a mesoscopic system of arbitrary spectrum and degeneracies. We then apply our procedure to measurements of thermoelectric response of a single quantum dot, and demonstrate how it can be used to deduce the entropy change across Coulomb-blockade valleys, resolving, along the way, a long-standing puzzle of the experimentally observed finite thermoelectric response at the apparent particle-hole symmetric point.
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