Cryogenic Cooling and Power Generation Using Quantum Hall Systems

TL;DR

This paper explores how quantum Hall systems can be utilized for highly efficient cryogenic thermoelectric cooling and power generation, leveraging their unique electronic properties at low temperatures.

Contribution

It introduces a novel approach to thermoelectric energy conversion using quantum Hall states, especially the $ u=0$ state in Dirac materials, with explicit efficiency calculations.

Findings

High thermoelectric efficiency at low temperatures.

Peak thermoelectric Hall effect in $ u=0$ quantum Hall state.

Potential for advanced cryogenic energy devices.

Abstract

The possibility of using quantum Hall systems for thermoelectric energy conversion is investigated. It is shown that the massive degeneracy and the metallicity of a partially-filled Landau level enable thermoelectric cooling and power generation with unprecedented efficiency at low temperature. The figure of merit is explicitly derived for a transverse thermoelectric device using the $\nu=0$ quantum Hall state of Dirac materials at charge neutrality, where due to electron-hole symmetry electrical Hall effect vanishes but thermoelectric Hall effect peaks.