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| Main Authors: | , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.18922 |
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| _version_ | 1866913003731943424 |
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| author | Endo, Akira Hashimoto, Yoshiaki |
| author_facet | Endo, Akira Hashimoto, Yoshiaki |
| contents | 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 $- (E_{N_\mathrm{F} σ_\mathrm{F}}-ζ)/e$ in the limit of vanishing disorder, where $E_{N_\mathrm{F} σ_\mathrm{F}}$ 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 $T_\mathrm{out}$ near the outer perimeter of a Corbino disk, applying a radial dc current $I_\mathrm{dc}$. The temperature $T_\mathrm{out}$ is observed to increase or decrease depending on the direction of $I_\mathrm{dc}$ and the sign of $Π_{rr}$ as expected from the Peltier effect. Notably, $T_\mathrm{out}$ becomes lower than the bath temperature for outward (inward) $I_\mathrm{dc}$ in the region where $Π_{rr} < 0$ ($Π_{rr} > 0$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18922 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Peltier cooling in Corbino-geometry quantum Hall systems Endo, Akira Hashimoto, Yoshiaki Mesoscale and Nanoscale Physics 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 $- (E_{N_\mathrm{F} σ_\mathrm{F}}-ζ)/e$ in the limit of vanishing disorder, where $E_{N_\mathrm{F} σ_\mathrm{F}}$ 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 $T_\mathrm{out}$ near the outer perimeter of a Corbino disk, applying a radial dc current $I_\mathrm{dc}$. The temperature $T_\mathrm{out}$ is observed to increase or decrease depending on the direction of $I_\mathrm{dc}$ and the sign of $Π_{rr}$ as expected from the Peltier effect. Notably, $T_\mathrm{out}$ becomes lower than the bath temperature for outward (inward) $I_\mathrm{dc}$ in the region where $Π_{rr} < 0$ ($Π_{rr} > 0$). |
| title | Peltier cooling in Corbino-geometry quantum Hall systems |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.18922 |