Step-Bunching Transitions on Vicinal Surfaces and Quantum n-mers

Details Step-Bunching Transitions on Vicinal Surfaces and Quantum n-mers Step-Bunching Transitions on Vicinal Surfaces and Quantum n-mers

1999-01-18

arxiv.org/abs/cond-mat/9901153v1

Surface Science 467, 58 (2000)

Physics

Condensed Matter

Soft Condensed Matter

Longer version of the letter cond-mat/9808307 (Phys. Rev. Lett. 81, 3475 (1998)); 22 Pages + 16 Figures

Scientific paper

10.1016/S0039-6028(00)00664-6

We study vicinal crystal surfaces within the terrace-step-kink model on a discrete lattice. Including both a short-ranged attractive interaction and a long-ranged repulsive interaction arising from elastic forces, we discover a series of phases in which steps coalesce into bunches of $n_b$ steps each. The value of $n_b$ varies with temperature and the ratio of short to long range interaction strengths. For bunches with large number of steps, we show that, at T=0, our bunch phases correspond to the well known periodic groove structure first predicted by Marchenko. An extension to $T>0$ is developed. We propose that the bunch phases have been observed in very recent experiments on Si surfaces, and further experiments are suggested. Within the context of a mapping of the model to a system of bosons on a 1D lattice, the bunch phases appear as quantum n-mers.

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