Abstract
One important length scale characterizing mesoscopic systems is the Fermi wavelength λ F = 2π/k F , where k F is the Fermi wave number. At zero temperature, electrons occupy states specified by the wave vector k with |k| ≤ k F . The Fermi wave vector is related to the electron density n through
where d is the system dimension (0D for d = 0, 1D for d = 1, 2D for d = 2, and 3D for d = 3) and the factor 2 comes from the electron spin. In typical metals such as Cu and Ag, the Fermi wavelength is of the order of a few angstrom and in semiconductors such as 2D systems realized in GaAs/AlGaAs heterostructures we have λ F ~400 Å for the electron concentration n~3×1011 cm−2.
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Ando, T. (1998). Length Scales Characterizing Mesoscopic Systems. In: Ando, T., Arakawa, Y., Furuya, K., Komiyama, S., Nakashima, H. (eds) Mesoscopic Physics and Electronics. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71976-9_2
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DOI: https://doi.org/10.1007/978-3-642-71976-9_2
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