TY - JOUR

T1 - Thermoelectric coefficients and the figure of merit for large open quantum dots

AU - Whitney, Robert S.

AU - Saito, Keiji

N1 - Funding Information:
R.W. thanks the QuEnG project of the Université Grenoble Alpes, which is part of the French ANR-15-IDEX-02. K.S. was supported by JSPS Grants-in-Aid for Scientific Research (JP16H02211 and JP17K05587).
Publisher Copyright:
Copyright R. S. Whitney and K. Saito.

PY - 2019/1

Y1 - 2019/1

N2 - We consider the thermoelectric response of chaotic or disordered quantum dots in the limit of phase-coherent transport, statistically described by random matrix theory. We calculate the full distribution of the thermoelectric coefficients (Seebeck S and Peltier Π), and the thermoelectric figure of merit ZT, for large open dots at arbitrary temperature and external magnetic field, when the number of modes in the left and right leads (NL and NR) are large. Our results show that the thermoelectric coefficients and ZT are maximal when the temperature is half the Thouless energy, and the magnetic field is negligible. They remain small, even at their maximum, but they exhibit a type of universality at all temperatures, in which they do not depend on the asymmetry between the left and right leads (NL - NR), even though they depend on (NL + NR).

AB - We consider the thermoelectric response of chaotic or disordered quantum dots in the limit of phase-coherent transport, statistically described by random matrix theory. We calculate the full distribution of the thermoelectric coefficients (Seebeck S and Peltier Π), and the thermoelectric figure of merit ZT, for large open dots at arbitrary temperature and external magnetic field, when the number of modes in the left and right leads (NL and NR) are large. Our results show that the thermoelectric coefficients and ZT are maximal when the temperature is half the Thouless energy, and the magnetic field is negligible. They remain small, even at their maximum, but they exhibit a type of universality at all temperatures, in which they do not depend on the asymmetry between the left and right leads (NL - NR), even though they depend on (NL + NR).

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U2 - 10.21468/SciPostPhys.6.1.012

DO - 10.21468/SciPostPhys.6.1.012

M3 - Article

AN - SCOPUS:85111121517

VL - 6

JO - SciPost Physics

JF - SciPost Physics

SN - 2542-4653

IS - 1

M1 - 012

ER -