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Thermomagnetic Effect in the Quantum Hall System |
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| Authors: | Ryoen Shirasaki Akira Endo Naomichi Hatano Hiroaki Nakamura |
| Affiliation: | 1. Department of Physics, Yokohama National University, 79-5 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan 2. Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba, 277-8581, Japan 3. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo, 153-8505, Japan 4. Fundamental Physics Simulation Research Division, National Institute for Fusion Science, Oroshi-cho, Toki, Gifu, 509-5292, Japan |
| Abstract: | We calculate the Seebeck S xx and Nernst S yx components of the thermopower tensor ? in the quantum Hall system, using analytical formulas of the conductivity tensor $hat{sigma}$ that we deduced in a previous publication. The results basically reproduce the magnetic field dependence of experimentally observed behavior of S xx and S yx . With the aid of the Mott relation valid at low temperatures, we can further simplify the expressions and obtain analytical formulas for S xx and S yx . The Mott relation predicts that both S xx and S yx grow linearly with temperature T. To examine the range of validity of the formula based on the Mott relation, we investigate the temperature dependence of the height of the |S xx | peak at the first excited (N?=?1) Landau level for various values of the impurity scattering time ?? q. The results calculated with the more general integral formulas are seen to deviate from the linear T dependence and asymptotically approach the universal value (2ln?2/3)(k B/e) above $T simeq hbar / (2 tau_{rm q} k_{rm B}).$ |
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