Temperature Distribution in Two-Dimensional Electron Gases under a Strong Magnetic Field
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Two-dimensional electron gases having an electrochemical potential gradient under a magnetic field are numerically examined using the finite-difference method. The temperature, voltage, electric current, and heat flux are calculated from transport equations describing thermoelectric and thermomagnetic effects, namely the Hall, Nernst, Ettingshausen, and Righi–Leduc effects. The results show that a magnetic field distorts equipotential lines and generates an uneven temperature distribution. In particular, a part of the system is found to become colder than the temperature of the heat baths. The cooling effect under a strong magnetic field is due primarily to the Ettingshausen and Hall effects.
KeywordsThermoelectric power thermomagnetic effect Ettingshausen effect two-dimensional electron gas quantum Hall system finite-difference method
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The authors are grateful to Prof. A. Kamitani for valuable comments. The work is supported by Grant-in-Aid for Scientific Research (B) No. 20340101 as well as by the Izumi Science and Technology Foundation and the National Institutes of Natural Sciences undertaking Forming Bases for Interdisciplinary and International Research through Cooperation Across Fields of Study and Collaborative Research Program No. NIFS08KEIN0091.
- 2.B.L. Gallagher and P.N. Butcher, Handbook on Semiconductors vol. 1, ed. P.T. Landsberg (Amsterdam, Elsevier, 1992), p.␣817.Google Scholar
- 5.K. Behnia, M.-A. Méasson, and Y. Kopelevich, Phys. Rev. Lett. 166602 (2007)Google Scholar
- 7.N. Hirayama, A. Endo, K. Fujita, Y. Hasegawa, N. Hatano, H. Nakamura, and R. Shirasaki, to appear in Comp. Phys. Commun. (2010). doi: 10.1016/j.cpc.2010.07.043
- 8.H. Okumura, S. Yamaguchi, H. Nakamura, K. Ikeda, and K. Sawada, Proceedings of ICT98: 17th International Conference on Thermoelectrics (Piscataway: IEEE, 1998), p.␣89.Google Scholar