Implications of random-matrix theory for terrace-width distributions on vicinal surfaces: improved approximations and exact results

Quantitative measurement of the equilibrium terrace-width distribution of v icinal surfaces enables detailed investigation of step-step interactions. U sing results from random-matrix theory, we point out simple analytical expr essions that assist in this process, improving considerably over standard t echniques and allowing assessment of weak repulsions, heretofore inaccessib le except by indirect methods. This approach suggests new properties for ex perimentalists to measure and, by calibration with exact results, provides insights into controversies about assessing the interaction strength. (C) 1 999 Elsevier Science B.V. All rights reserved.