Transport properties of fermionic systems

Abstract

We extend the method discovered by A Y Alekseev et al to the case of fermions in external fields. A general formula for conductance G is proved. In the (1+1)-D case with symmetry at time reflection, it is shown that: G=e2/h+o(a), where a is the strength of the external field. In (3+1)-D free case, it is checked that G=n*e2/h, where n is the number of the filled energetic bands of the transversal quantization.

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