Thermoelectric coefficients and the figure of merit for large open quantum dots
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 fi...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
SciPost
2019-01-01
|
Series: | SciPost Physics |
Online Access: | https://scipost.org/SciPostPhys.6.1.012 |
id |
doaj-0df2dd0f92ef422ba02e5f62bef445df |
---|---|
record_format |
Article |
spelling |
doaj-0df2dd0f92ef422ba02e5f62bef445df2020-11-25T02:44:49ZengSciPostSciPost Physics2542-46532019-01-016101210.21468/SciPostPhys.6.1.012Thermoelectric coefficients and the figure of merit for large open quantum dotsRobert S. Whitney, Keiji SaitoWe 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 $(N_{\rm L}+N_{\rm R})$.https://scipost.org/SciPostPhys.6.1.012 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Robert S. Whitney, Keiji Saito |
spellingShingle |
Robert S. Whitney, Keiji Saito Thermoelectric coefficients and the figure of merit for large open quantum dots SciPost Physics |
author_facet |
Robert S. Whitney, Keiji Saito |
author_sort |
Robert S. Whitney, Keiji Saito |
title |
Thermoelectric coefficients and the figure of merit for large open quantum dots |
title_short |
Thermoelectric coefficients and the figure of merit for large open quantum dots |
title_full |
Thermoelectric coefficients and the figure of merit for large open quantum dots |
title_fullStr |
Thermoelectric coefficients and the figure of merit for large open quantum dots |
title_full_unstemmed |
Thermoelectric coefficients and the figure of merit for large open quantum dots |
title_sort |
thermoelectric coefficients and the figure of merit for large open quantum dots |
publisher |
SciPost |
series |
SciPost Physics |
issn |
2542-4653 |
publishDate |
2019-01-01 |
description |
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 $(N_{\rm L}+N_{\rm R})$. |
url |
https://scipost.org/SciPostPhys.6.1.012 |
work_keys_str_mv |
AT robertswhitneykeijisaito thermoelectriccoefficientsandthefigureofmeritforlargeopenquantumdots |
_version_ |
1724765811499859968 |