FOUNDATIONS OF THE ENVELOPE-FUNCTION THEORY FOR PHONONS IN HETEROSTRUCTURES

被引:17
作者
FOREMAN, BA [1 ]
机构
[1] CORNELL UNIV, SCH ELECT ENGN, ITHACA, NY 14853 USA
关键词
D O I
10.1103/PhysRevB.52.12260
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A one-dimensional envelope-function model is developed for the treatment of long-wavelength optical phonons in InAs/GaSb and related superlattices. The long-wavelength model is derived from an exact envelope-function formalism that is fully equivalent to the standard force-constant model of discrete lattice dynamics. Two new interface-related terms appear in the analysis, neither of which is included in current phenomenological models for GaAs/AlAs superlattices. The first describes the change in reduced mass at the interface, and is important for both longitudinal and transverse vibrations; the second describes the change in the optical force constant at the interface, and is important primarily for transverse vibrations. A comparison of the continuum model with discrete calculations shows good numerical agreement for all long-wavelength modes, including those modes which are tightly bound to the interfaces.
引用
收藏
页码:12260 / 12281
页数:22
相关论文
共 77 条
[51]   ELECTRON-PHONON INTERACTIONS AND LATTICE-DYNAMICS OF OPTIC PHONONS IN SEMICONDUCTOR HETEROSTRUCTURES [J].
NASH, KJ .
PHYSICAL REVIEW B, 1992, 46 (12) :7723-7744
[52]   LONG-WAVELENGTH POLAR OPTICAL MODES IN GAAS SEMICONDUCTOR LAYERED STRUCTURES [J].
PEREZALVAREZ, R ;
GARCIAMOLINER, F ;
VELASCO, VR ;
TRALLEROGINER, C .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1993, 5 (31) :5389-5400
[53]   ANISOTROPY OF OPTICAL PHONONS AND INTERFACE MODES IN GAAS-ALAS SUPERLATTICES [J].
REN, SF ;
CHU, HY ;
CHANG, YC .
PHYSICAL REVIEW B, 1988, 37 (15) :8899-8911
[54]   ANISOTROPY OF OPTICAL PHONONS IN GAAS-ALAS SUPERLATTICES [J].
REN, SF ;
CHU, HY ;
CHANG, YC .
PHYSICAL REVIEW LETTERS, 1987, 59 (16) :1841-1844
[55]   ELECTRON-HYBRIDON INTERACTION IN A QUANTUM-WELL [J].
RIDLEY, BK .
PHYSICAL REVIEW B, 1993, 47 (08) :4592-4602
[56]  
RIDLEY BK, 1992, P SOC PHOTO-OPT INS, V1675, P492, DOI 10.1117/12.137633
[57]   FREE OPTICAL VIBRATIONS OF AN INFINITE-PLATE OF HOMOGENEOUS ISOTROPIC ELASTIC MATTER [J].
RIDLEY, BK .
PHYSICAL REVIEW B, 1991, 44 (16) :9002-9011
[58]  
Rytov S., 1956, SOV PHYS ACOUST, V2, P68
[59]  
Schorer R., 1995, 22nd International Conference on the Physics of Semiconductors, P947
[60]   RAMAN-SCATTERING FROM INTERFACE MODES IN GA1-XINXSB/INAS SUPERLATTICES [J].
SELA, I ;
SAMOSKA, LA ;
BOLOGNESI, CR ;
GOSSARD, AC ;
KROEMER, H .
PHYSICAL REVIEW B, 1992, 46 (11) :7200-7203