An adaptive algorithm for n-body field expansions
Weinberg, Martin D.
1998-05-28
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Comment: 4 pages, 3 figures (RevTeX+epsf); talk at EP2DS-XIII
We study theoretically formation of two-dimensional (2D) charge density wave
(CDW) in a system of conducting chains at the surface of an insulator due to
interaction of quasi 1D surface electrons with phonons. We show that the
unscreened long-range Coloumb interaction between the charges induced by
fluctuations of the CDW phase stabilizes the finite order parameter value at
finite temperatures, and thus the long-range order (LRO) exists. In the case of
screened Coloumb interaction the phase fluctuations suppress the phase
transition, but decay of the order parameter is rather slow, it obeys a
power-law $<\Delta^*(r) \Delta(0)> \propto r^{-\gamma}$ with small exponent
$\gamma$
Comment: 4 pages, 4 figures
Comment: 19 pages, 4 figures ; a few typos corrected + some passages in Sec. V
rewritten
Comment: 4 pages, 4 figures
Comment: 4 pages, 2 figures
Comment: 4 pages, 4 figures; slightly revised version accepted for publication
in Physical Review Letters
We derive an expression for the conditional time for the reflection of a wave
from an arbitrary potential barrier using the WKB wavefunction in the barrier
region. Our result indicates that the conditional times for transmission and
reflection are equal for a symmetric barrier within the validity of the WKB
approach.
