Step Wandering from the 2-Particle Calogero Model
Abstract
The statistics of a pair of neighboring steps can be derived approximately from a two-particle Hamiltonian in which the steps are mapped onto spinless fermions. Under typical circumstances, this mapping results in the two-particle Calogero model, for which the complete set of eigenvalues and eigenfunctions can be obtained. The terrace-width distribution (TWD) resulting from this approximation is the ``generalized Wigner distribution'', which has been shown to be in excellent agreement with simulations of the terrace-step-kink (TSK) model and to be a useful approximation for experimental TWDs(T.L. Einstein, H.L. Richards, S.D. Cohen, O. Pierre-Louis, Surf. Sci.) 493 (2001) 460.. Here we discuss the use of the complete eigensolution to obtain the step wandering function. The results are compared with preliminary Monte Carlo simulations of the TSK model and with previous Gruber-Mullins predictions.
- Publication:
-
APS March Meeting Abstracts
- Pub Date:
- March 2002
- Bibcode:
- 2002APS..MARW20004B