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Peltier cooling in Corbino-geometry quantum Hall systems

Abstract

Quantum Hall systems having Corbino geometry are expected to have a large Peltier coefficient Π_rr in the quantum Hall plateau region. We present an analytic formula for Π_rr calculated employing the spectral conductivity obtained based on the self-consistent Born approximation. The coefficient Π_rr is shown to have a large negative (positive) value just above (below) an integer Landau-level filling, with the absolute value |Π_rr| increasing with decreasing temperature or decreasing disorder, and approaching the saw-tooth shape - (E_NF σF-ζ)/e in the limit of vanishing disorder, where E_NF σF is the highest occupied Landau level and ζ is the chemical potential. As an initial attempt to experimentally observe the effect of the large |Π_rr|, we measure the electron temperature Tout near the outer perimeter of a Corbino disk, applying a radial dc current Idc. The temperature Tout is observed to increase or decrease depending on the direction of Idc and the sign of Π_rr as expected from the Peltier effect. Notably, Tout becomes lower than the bath temperature for outward (inward) Idc in the region where Π_rr < 0 (Π_rr > 0).

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