Davidson D, Nijs M
Department of Physics, University of Washington, P.O. Box 351560, Seattle, Washington 98195-1560, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt A):5029-39. doi: 10.1103/physreve.59.5029.
The equilibrium crystal shape of a body-centered solid-on-solid (BCSOS) model on a honeycomb lattice is studied numerically. We focus on the facet ridge end points (FRE's). These points are equivalent to one-dimensional Kardar-Parisi-Zhang-type growth in the exactly soluble square lattice BCSOS model. In our more general context the transfer matrix is not stochastic at the FRE points, and a more complex structure develops. We observe ridge lines sticking into the rough phase where the surface orientation jumps inside the rounded part of the crystal. Moreover, the rough-to-faceted edges become first order with a jump in surface orientation, between the FRE point and Pokrovsky-Talapov (PT) type critical endpoints. The latter display anisotropic scaling with exponent z=3 instead of familiar PT value z=2.
对蜂窝晶格上的体心固-固（BCSOS）模型的平衡晶体形状进行了数值研究。我们关注小面脊端点（FRE）。在完全可解的方形晶格BCSOS模型中，这些点等同于一维 Kardar-Parisi-Zhang 型生长。在我们更一般的情况下，转移矩阵在 FRE 点不是随机的，并且会形成更复杂的结构。我们观察到脊线延伸到粗糙相，在晶体的圆形部分内表面取向会发生跳跃。此外，在 FRE 点和 Pokrovsky-Talapov（PT）型临界端点之间，粗糙到小面的边缘变为具有表面取向跳跃的一级相变。后者表现出各向异性标度，指数 z = 3，而不是常见的 PT 值 z = 2。
