We investigate thermal rectification in a bulk material with a pyramid shape to elucidate shape dependence of the thermal rectification, and find that rectifying coefficient R is 1.35 for this shape, which is smaller than R = 1.43 for a rectangular shape. This result is fully duplicated by our numerical calculation based on Fourier's law. We also apply this calculation to a given shape, and show a possible way to increase R depending on the shape.
We have fabricated an oxide thermal rectifier made of La 1:98 Nd 0:02 CuO 4 and MnV 2 O 4 . By utilizing a jump of a thermal conductivity originated in the structural phase transition accompanied by the orbital ordering in MnV 2 O 4 , a rectifying coefficient of 1.14 has been achieved in the presence of a small temperature difference of 2 K. A thermal rectifier operating under a small temperature difference will play an important role for realizing heatcurrent control in electronic devices.
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