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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