INSTABILITIES IN MBE GROWTH

被引：68

作者：

HUNT, AW ^{[1
]}

ORME, C ^{[1
]}

WILLIAMS, DRM ^{[1
]}

ORR, BG ^{[1
]}

SANDER, LM ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,RES SCH PHYS SCI & ENGN,INST ADV STUDY,CANBERRA,AUSTRALIA

来源：

EUROPHYSICS LETTERS | 1994年 / 27卷 / 08期

关键词：

D O I：

10.1209/0295-5075/27/8/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We address the problem of MBE growth in one horizontal and one vertical direction in the presence of Schwoebel barriers. The time-independent growth equation introduced previously is shown to be identical to that for a classical particle in a potential well. We solve this equation using periodic boundary conditions and find time-independent solutions consisting of a periodic array of mounds. We derive the ''dispersion relation'', i.e. the amplitude as a function of wavelength for these mounds. The equation of motion is derivable from a free energy indicating that there is a most stable ground state, which is independent of the initial conditions. The mounds are marginally unstable and there is a minimum wavelength below which no mounds exist. The wavelength of the mounds coarsens slowly in time according to LAMBDA approximately t(alpha), with alpha almost-equal-to 1/4.

引用

页码：611 / 616

页数：6

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