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11 papers · 1 filter
Phase coherence length and quantum interference patterns at step edges
S Crampin, J Kroeger, H Jensen +1
The accepted approximation used to describe quantum interference patterns at steps is shown to be incorrect. As a result, electron lifetimes determined using it are in error by a f…
On the total length of the random minimal directed spanning tree
Mathew D. Penrose, Andrew R. Wade
In Bhatt and Roy's minimal directed spanning tree (MDST) construction for a random partially ordered set of points in the unit square,all edges must respect the ``coordinatewise''…
Polydisperse hard spheres at a hard wall
Matteo Buzzacchi, Ignacio Pagonabarraga, Nigel B. Wilding
The structural properties of polydisperse hard spheres in the presence of a hard wall are investigated via Monte Carlo simulation and density functional theory (DFT). Attention is…
An embedding potential definition of channel functions
J E Inglesfield, S Crampin, H Ishida
We show that the imaginary part of the embedding potential, a generalised logarithmic derivative, defined over the interface between an electrical lead and some conductor, has orth…
Spin-orbit splitting of image states
J R McLaughlan, E M Llewellyn-Samuel, S Crampin
We quantify the effect of the spin-orbit interaction on the Rydberg-like series of image state electrons at the (111) and (001) surface of Ir, Pt and Au. Using relativistic multipl…
The Ribaucour transformation in Lie sphere geometry
F. E. Burstall, U. Hertrich-Jeromin
We discuss the Ribaucour transformation of Legendre maps in Lie sphere geometry. In this context, we give a simple conceptual proof of Bianchi's original Permutability Theorem and…