TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.6.1.012
TI  - Thermoelectric coefficients and the figure of merit for large open quantum dots
PY  - 2019/01/24
UR  - https://scipost.org/SciPostPhys.6.1.012
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 6
IS  - 1
SP  - 012
A1  - Whitney, Robert
AU  - Saito, Keiji
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 $\Pi$), 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 ($N_{\rm L}$ and $N_{\rm R}$) 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 $(N_{\rm L}-N_{\rm R})$, even though they depend on $(N_{\rm L}+N_{\rm R})$.
ER  -

@Article{10.21468/SciPostPhys.6.1.012,
	title={{Thermoelectric coefficients and the figure of merit for large open quantum dots}},
	author={Robert S. Whitney and Keiji Saito},
	journal={SciPost Phys.},
	volume={6},
	pages={012},
	year={2019},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.6.1.012},
	url={https://scipost.org/10.21468/SciPostPhys.6.1.012},
}