Abstract
The usual laws of the circuits (Ohm’s law, Kirchoff’s law, and so on) are valid in the macroscopic world. However, when the linear dimensions are less than an electron mean free path, which may be on the order of 10 nm (22 in Al and 55 in Cu), the motion of the electrons is ballistic, that is, the circuit obeys quantum laws.
This Chapter is different, in that we deal with many-body and off-equilibrium problems.
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Notes
- 1.
M. Cini, Phys. Rev.B 22,5887 (1980) and Phys. Rev. B 89, 239902(E) (2014).
- 2.
Apart from the factor 2, the existence of this quantum is evident on dimensional grounds.
- 3.
P.W Brower Phys. Rev. B58, 10135 (1998).
- 4.
Michele Cini and Enrico Perfetto, PRB 84 245201 (2011).
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Cini, M. (2018). Quantum Transport and Quantum Pumping. In: Elements of Classical and Quantum Physics. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-71330-4_26
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DOI: https://doi.org/10.1007/978-3-319-71330-4_26
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