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Tunneling

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Theory of Quantum Transport at Nanoscale

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 184))

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Abstract

The quantum mechanical description of tunneling through a planar barrier and the method of tunneling (or transfer) Hamiltonian for weak coupling to the electrodes are given in this chapter. The sequential tunneling is introduces and the master equation for interacting systems is presented.

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Notes

  1. 1.

    To do this one should multiply the integrand on \(1=\int \delta (E-E_q)dE\).

References

  1. J. Bardeen, Phys. Rev. Lett. 6, 57 (1961)

    Article  ADS  Google Scholar 

  2. W.A. Harrison, Phys. Rev. 123, 85 (1961)

    Article  ADS  Google Scholar 

  3. M.H. Cohen, L.M. Falicov, J.C. Phillips, Phys. Rev. Lett. 8, 316 (1962)

    Article  ADS  Google Scholar 

  4. R.E. Prange, Phys. Rev. 131, 1083 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  5. C.B. Duke, Tunneling in Solids (Academic Press, New York, 1969). Chapter VII

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  6. J. Tersoff, D.R. Hamann, Phys. Rev. Lett. 50, 1998 (1983)

    Article  ADS  Google Scholar 

  7. J. Tersoff, D.R. Hamann, Phys. Rev. B 31, 805 (1985)

    Google Scholar 

  8. C. Julian Chen, Introduction to Scanning Tunneling Microscopy (Oxford University Press, 1993)

    Google Scholar 

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Correspondence to Dmitry A. Ryndyk .

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Ryndyk, D.A. (2016). Tunneling. In: Theory of Quantum Transport at Nanoscale. Springer Series in Solid-State Sciences, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-319-24088-6_4

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