Summary
Disorder has a much more pronounced effect on transport properties than on the DOS. In fact, the DC metallic electrical conductivity is finite and not infinite (at T = 0), because of the presence of disorder, no matter how weak. As the disorder increases further, it may produce a metal-insulator transition, i.e., it may prevent the propagation of the carriers altogether, making the conductivity equal to zero (at T = 0 K). In the last 30 years there have been impressive developments in our understanding of these phenomena and in elucidating the role of elastic and inelastic scattering; Green’s functions have played a central role as a theoretical tool. In this chapter, we shall introduce several transport quantities, such as electrical conductivity, and present several schemes for their calculation.
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Chapter 8
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(2006). Electrical Conductivity and Green’s Functions. In: Green’s Functions in Quantum Physics. Springer Series in Solid-State Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28841-4_8
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DOI: https://doi.org/10.1007/3-540-28841-4_8
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