Physics – Condensed Matter
Scientific paper
1994-08-24
Phys. Rev. B 51 (1995) 7734
Physics
Condensed Matter
5 pages revtex (twocolumn)
Scientific paper
10.1103/PhysRevB.51.7734
A Brownian motion model is devised on the manifold of S-matrices, and applied to the calculation of conductance-conductance correlations and of the weak localization peak. The model predicts that (i) the correlation function in $B$ has the same shape and width as the weak localization peak; (ii) the functions behave as $\propto 1-{\cal O}(B^2)$, thus excluding a linear line shape; and (iii) their width increases as the square root of the number of channels in the leads. Some of these predictions agree with experiment and with other calculations only in the limit of small $B$ and a large number of channels.
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