Tunnelling and Negative Resistance Phenomena in by D. K. Roy

By D. K. Roy

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Mead, J. Appi. Phys. :58 (1967) 2384. W. 155 (1956). J. Bardeen, Phys. Rev. Lett. 6_ (1961) 57. W. 13 (1969). S. C. Miller Jr. and R. M. , Phys. 174. I. Giaever, Tunnelling Phenomena in Solids, C. B. Duke, Tunnelling in Solids, Plenum Press, Rev. 19 (1969). 31 (1969). J. T. Wallmark and J. H. A. Review 30. (1969) 335. E. C. Ross and J. T. A. Review J50 (1969) 366. L. Lundkvist, I. Lundstrom, C. Svensson, and J. T. Wallmark (Chalmers Univ. 233. (invited Lancaster, L. Lundkvist,VI. Lundstrom, C. Svensson, Solid State Elec­ tronics 1_6 (1973) 811.

Bardeen, Phys. Rev. Lett. 6_ (1961) 57. W. 13 (1969). S. C. Miller Jr. and R. M. , Phys. 174. I. Giaever, Tunnelling Phenomena in Solids, C. B. Duke, Tunnelling in Solids, Plenum Press, Rev. 19 (1969). 31 (1969). J. T. Wallmark and J. H. A. Review 30. (1969) 335. E. C. Ross and J. T. A. Review J50 (1969) 366. L. Lundkvist, I. Lundstrom, C. Svensson, and J. T. Wallmark (Chalmers Univ. 233. (invited Lancaster, L. Lundkvist,VI. Lundstrom, C. Svensson, Solid State Elec­ tronics 1_6 (1973) 811. A. V.

5) where Ω is the volume of the unit cell of the crystal. first-order energy correction (13) to electrons is then Εη . = H. = / ψ*. R" ψ . dv . · f . η -ié i(k k )r z~ i Uki * " N, f v (r ... dv. H ' -'-à 'a > dv as H' = correction to the original Hamiltonian = ^2·7^ V'(r), Therefore H eA ^ - - » / ? e — = - M f A s r ^rsinede^ e 0 dr f sin QdQ f 0 d* - - - ^ ^ . = t- Ä ^ 7 . 4vNiAs rH^- . 9) Let n be the total number of quantum states per unit volume of electrons having wave vector ^ k. As the volume of the Brillouin zone representing N/N^ quantum states is (2π)3/Ω, the volume of the k-space representing one quantum state be (2π) 3 /{(#/^)Ω}.

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