STEP MOTION, PATTERNS, AND KINETIC INSTABILITIES ON CRYSTAL-SURFACES

被引:33
作者
KANDEL, D [1 ]
WEEKS, JD [1 ]
机构
[1] UNIV MARYLAND,DEPT CHEM,COLL PK,MD 20742
关键词
D O I
10.1103/PhysRevLett.72.1678
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a mesoscopic kinetic model for step flow on crystal surfaces in the presence of impurities. The evolution of the system of steps in the small line tension limit leads to the formation of complex highly connected step patterns. We identify repeating features in the patterns and calculate them analytically by analyzing a simplified mean-field-like model. For the same model we also calculate analytically the coarsening with time of the typical length scale associated with the patterns. All the analytical results are in excellent quantitative agreement with numerical simulations.
引用
收藏
页码:1678 / 1681
页数:4
相关论文
共 17 条
[1]   MORPHOLOGICAL INSTABILITY OF A TERRACE EDGE DURING STEP-FLOW GROWTH [J].
BALES, GS ;
ZANGWILL, A .
PHYSICAL REVIEW B, 1990, 41 (09) :5500-5508
[2]   BROWNIAN-MOTION OF STEPS ON SI(111) [J].
BARTELT, NC ;
GOLDBERG, JL ;
EINSTEIN, TL ;
WILLIAMS, ED ;
HEYRAUD, JC ;
METOIS, JJ .
PHYSICAL REVIEW B, 1993, 48 (20) :15453-15456
[3]  
BENNEMA P, 1973, CRYSTAL GROWTH INTRO, P263
[4]   THE GROWTH OF CRYSTALS AND THE EQUILIBRIUM STRUCTURE OF THEIR SURFACES [J].
BURTON, WK ;
CABRERA, N ;
FRANK, FC .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1951, 243 (866) :299-358
[5]  
Cabrera N., 1958, GROWTH PERFECTION CR, V393-425
[6]  
Frank F. C., 1958, GROWTH PERFECTION CR, P411
[7]   SURFACTANT EPITAXY OF SI ON SI(111) SURFACE MEDIATED BY A SN LAYER .1. REFLECTION ELECTRON-MICROSCOPE OBSERVATION OF THE GROWTH WITH AND WITHOUT A SN LAYER MEDIATE THE STEP FLOW [J].
IWANARI, S ;
TAKAYANAGI, K .
JOURNAL OF CRYSTAL GROWTH, 1992, 119 (3-4) :229-240
[8]   CHAOTIC STEP BUNCHING DURING CRYSTAL-GROWTH [J].
KANDEL, D ;
WEEKS, JD .
PHYSICA D, 1993, 66 (1-2) :78-86
[9]   STEP BUNCHING AS A CHAOTIC PATTERN-FORMATION PROCESS [J].
KANDEL, D ;
WEEKS, JD .
PHYSICAL REVIEW LETTERS, 1992, 69 (26) :3758-3761
[10]   THEORY OF IMPURITY-INDUCED STEP BUNCHING [J].
KANDEL, D ;
WEEKS, JD .
PHYSICAL REVIEW B, 1994, 49 (08) :5554-5564