Lec 10 Mesoscopic systems and their properties











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Corrections: (i) at 46:26, the figure may give the impression that at the top level, states with both +k and -k are occupied; they are not. Only states with +k are occupied. Note that this is taken care of when writing D(E) in terms of D(k) because we do not multiply by 2 (for +k and -k) and take D(k) = L/(2*pi) in doing so; (ii) at 51:20 G is 2e^2/h *(an integer) is not argued correctly. It is explained properly a little later. • Metal clusters and explanation for magic clusters are discussed. Then Coulomb blockade in mesoscopic system is described and explained. Finally, quantization of conductance in a strip of wire connected between two reservoirs is discussed. • References: (i) Chapter 18 (first four sections): Kittel • (ii) Knight et al., Phys. Rev. Lett. 52, 2141 (1984) • (iii) Landauer, Phys. Letters 85A, 91 (1981) • (iv) Amman, Field and Jaklevic, Phys. Rev. B 48, 12104 (1993) • (v) Wees et al., Phys. Rev. B 43, 12431 (1991)

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