Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-02-08
NATO ASI,Windsor,August 13-26,(2001); Physica E,28(4),393,2005
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 3 figures, 1 table
Scientific paper
10.1016/j.physe.2005.04.013
Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination of Peltier and Seebeck effects. The current causes heating(cooling) at the first(second) sample contacts, due to the Peltier effect. The contact temperatures are different. The measured voltage is equal to the Peltier effect-induced thermoemf which is linear in current. As a result, the resistivity is non-zero as $I\to 0$. The resistivity is a universal function of magnetic field and temperature, expressed in fundamental units $h/e^{2}$. The universal features of magnetotransport data observed in experiment confirm our predictions.
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