Thermoelectric property of a one dimensional channel in the presence of a transverse magnetic field

Chengyu Yan; Michael Pepper; Patrick See; Ian Farrer; David A. Ritchie; Jonathan Griffiths

doi:10.1063/1.5128906

Thermoelectric property of a one dimensional channel in the presence of a transverse magnetic field

Chengyu Yan
, Michael Pepper
, Patrick See
, Ian Farrer
, David A. Ritchie
, Jonathan Griffiths

Department of Applied Physics

University College London
National Physical Laboratory (NPL)
University of Sheffield
University of Cambridge

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

182 Downloads (Pure)

Abstract

We studied the thermal conduction through a quantum point contact (QPC), defined in a GaAs- Al x Ga 1 - x As heterostructure, in the presence of a transverse magnetic field. A shift in the position of a thermo-voltage peak is observed with increasing field. The position of the thermo-voltage peak follows the Cutler-Mott relation in the small field regime (B < 0.5 T); it starts diverging from the Cutler-Mott relation in the moderate field regime, where a cubic magnetic field term dominates over the trivial quadratic term; eventually, the shift saturates in the large field regime (B > 3.0 T). Our results suggest that additional calibration is necessary when using QPC as thermometry, especially when the transverse magnetic field is applied.

Original language	English
Article number	202102
Pages (from-to)	1-4
Journal	Applied Physics Letters
Volume	115
Issue number	20
DOIs	https://doi.org/10.1063/1.5128906
Publication status	Published - 11 Nov 2019
MoE publication type	A1 Journal article-refereed

Funding

The authors gratefully acknowledge fruitful discussions with Karl-Fredrik Berggren, Kalarikad Thomas, and James Nicholls. The work was funded by the United Kingdom Research and Innovation (UKRI).

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10.1063/1.5128906

1.5128906-1Final published version, 1.74 MBLicence: CC BY

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abstract = "We studied the thermal conduction through a quantum point contact (QPC), defined in a GaAs- Al x Ga 1 - x As heterostructure, in the presence of a transverse magnetic field. A shift in the position of a thermo-voltage peak is observed with increasing field. The position of the thermo-voltage peak follows the Cutler-Mott relation in the small field regime (B < 0.5 T); it starts diverging from the Cutler-Mott relation in the moderate field regime, where a cubic magnetic field term dominates over the trivial quadratic term; eventually, the shift saturates in the large field regime (B > 3.0 T). Our results suggest that additional calibration is necessary when using QPC as thermometry, especially when the transverse magnetic field is applied.",

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AU - Yan, Chengyu

AU - Pepper, Michael

AU - See, Patrick

AU - Farrer, Ian

AU - Ritchie, David A.

AU - Griffiths, Jonathan

PY - 2019/11/11

Y1 - 2019/11/11

N2 - We studied the thermal conduction through a quantum point contact (QPC), defined in a GaAs- Al x Ga 1 - x As heterostructure, in the presence of a transverse magnetic field. A shift in the position of a thermo-voltage peak is observed with increasing field. The position of the thermo-voltage peak follows the Cutler-Mott relation in the small field regime (B < 0.5 T); it starts diverging from the Cutler-Mott relation in the moderate field regime, where a cubic magnetic field term dominates over the trivial quadratic term; eventually, the shift saturates in the large field regime (B > 3.0 T). Our results suggest that additional calibration is necessary when using QPC as thermometry, especially when the transverse magnetic field is applied.

AB - We studied the thermal conduction through a quantum point contact (QPC), defined in a GaAs- Al x Ga 1 - x As heterostructure, in the presence of a transverse magnetic field. A shift in the position of a thermo-voltage peak is observed with increasing field. The position of the thermo-voltage peak follows the Cutler-Mott relation in the small field regime (B < 0.5 T); it starts diverging from the Cutler-Mott relation in the moderate field regime, where a cubic magnetic field term dominates over the trivial quadratic term; eventually, the shift saturates in the large field regime (B > 3.0 T). Our results suggest that additional calibration is necessary when using QPC as thermometry, especially when the transverse magnetic field is applied.

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ER -

Thermoelectric property of a one dimensional channel in the presence of a transverse magnetic field

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