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

## TL;DR

This study investigates how a transverse magnetic field affects thermal conduction and thermo-voltage behavior in a quantum point contact within a GaAs-AlGaAs heterostructure, revealing field-dependent shifts and calibration needs.

## Contribution

It provides new insights into the magnetic field influence on thermoelectric properties of quantum point contacts, highlighting the need for calibration in magnetic environments.

## Key findings

- Thermo-voltage peak shifts with increasing magnetic field.
- The shift follows the Cutler-Mott relation at low fields.
- Divergence from the relation occurs at moderate fields, saturating at high fields.

## Abstract

We studied the thermal conduction through a quantum point contact (QPC), defined in GaAs-AlGaAs heterostructure, in the presence of a transverse magnetic field. A shift in the position of 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.