Physics – Condensed Matter
Scientific paper
1994-04-25
Physics
Condensed Matter
28 pages, 5 figures (availiable upon request by conventional mail), REVTEX, Applied Physics Report 94-13
Scientific paper
The breakdown of conductance quantization in a quantum point contact in the presence of random long-range impurity potential is discussed. It is shown that in the linear response regime a decisive role is played by the indirect backscattering mechanism via quasilocalized states at the Fermi level; this can provide much higher backscattering rate than any direct backscattering process. For the realistic contact lengths ($\leq 2000$nm) the scattering processes prove to be independent, in spite of coherence of the electron wave. The distribution function of conductance fluctuations is obtained by direct numerical calculations as well as estimated within an analytical model for the first time. It is shown to be a generalized Poisson distribution. Estimates are made for quantum point contact performance at different choice of parameters. In particular, it is the better the larger the intermode distance is compared to the amplitude of the random impurity potential.
Rashkeev Sergey N.
Shekhter Robert I.
Wendin Goran
Zagoskin Alexandre M.
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