lecture1casgs-納米科學(xué)概論-文庫吧資料
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【正文】 uncertainties, (July 2021). 6. . Griffiths, Introduction to quantum mechanics (Prentice Hall, New Jersey, 1995). 7. . Davis, The physics of lowdimensional semiconductors: an introduction (Cambridge University Press, New York, 1998). 8. A. Shik, Quantum wells: physics and electronics of twodimensional systems (World Scientific, Singapore, 1997). 9. K. Barnham, D. Vvedensky (eds.), Lowdimensional semiconductor structures: Fundamentals and device applications (Cambridge University Press, New York, 2021). 10. . Ferry, . Goodnick, Transport in nanostructures (Cambridge University Press, New York, 1997). 11. T. Ando et al., Mesoscopic physics and electronics (Springer, Berlin, 1998). 12. S. Datta, . McLennan, Quantum transport in ultrasmall devices, Rep. Prog. Phys. 53, 1003 (1990). 13. . Thornton, Mesoscopic devices, Rep. Prog. Phys. 57, 311 (1994). 14. . Smith, Lowdimensional quantum devices, Rep. Prog. Phys. 59, 235 (1996). 15. D. Ferry, . Barker, C. Jacaboni (eds.), Granular Nanoelectronics (Plenum, New York, 1990). 16. H. Grabert, . Devoret (eds.), Single charge tunneling: Coulomb blockade phenomena in nanostructures (Plenum, New York, 1992). 17. H. Koch, H. L252。 when E → 0, van Hove singularity For a unit length: DOS for a 2D system: n2D(E) = 2??m It is a constant! DOS for a 3D system: n3D(E) = mEm 232?? 3D kspace DOS of a quantum well: sum up all branches, each has a 2D DOS Dispersion relation: )(2),( 222222yxyx kkanmkkn ??? ?? ?n2D(E) = ? ??nnEm )(2 ?? ?Multistep function of step size g0 = m/??2 DOS of a quantum wire: superposition of a series of individual 1D DOS functions n(E) = ? ???2,12,12,1)(21nnnnnnEE m ??? ?Energy gap due to confinement DOS of a quantum dot: Summation of a set of ?functions (as in atoms and molecules) Quantum tunneling: A particle can be reflected by or tunnel through a barrier of V0 E V0 A exp(ikx) B exp(ikx) C exp(ikx) Region I Barrier Region II a E Define: ?/2 mEk ??/)(2 0 EVm ???Tunneling probability: 2222222224)(s i nh)(4????kakkACT????For a thick or tall barrier, ?a 1 ?????? ??????? )(22e xp)(16)2e xp ()(16020022222EVmaV EVEak kT ????For an irregular sh
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