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

ABSTRACT: 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.

SUBMITTER: Kleeorin Y

PROVIDER: S-EPMC6925120 | biostudies-literature | 2019 Dec

REPOSITORIES: biostudies-literature

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

Kleeorin Yaakov Y Thierschmann Holger H Buhmann Hartmut H Georges Antoine A Molenkamp Laurens W LW Meir Yigal Y

Nature communications 20191220 1

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 ...[more]

PMID: 31862879

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