1998/03/15 by Yasuhiro Akutsu, Y. Akutsu, N. Akutsu +6
Engineering · Physics and Astronomy · #Crystallography and Radiation Phenomena #Elasticity and Wave Propagation #Optical and Acousto-Optic Technologies #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9803189
4 pages (REVTEX), 1 Postscript figure. Submitted to Phys. Rev. E
arxiv created 1998/03/15 · arxiv updated 2009/11/30
Below the roughening temperature, the equilibrium crystal shape (ECS) is composed of both facets and a smoothly curved surface. As for the ``normal'' profile (perpendicular to the facet contour), the ECS has the exponent 3/2 which is characteristic of systems in the Gruber-Mullins-Pokrovsky-Talapov (GMPT) universality class. Quite recently,it was pointed out that the ECS have a ``new'' exponent 3 for ``tangential'' profile. We first show that this behavior is universal because it is a direct consequence of the well-establised universal form of the vicinal-surface free energy. Second, we give a universal relation between the amplitudes of the tangential and the normal profiles, in close connection with the universal Gaussian curvature jump at the facet edge in systems with short-range inter-step interactions. Effects of the long-range interactions are briefly discussed.