Surface loving and surface avoiding modes

被引:4
作者
Combe, N. [1 ,2 ]
Huntzinger, J. R. [3 ]
Morillo, J. [1 ,2 ]
机构
[1] CEMES, CNRS, F-31055 Toulouse, France
[2] Univ Toulouse, UPS, F-31055 Toulouse, France
[3] Univ Montpellier 2, Etud Semicond Grp, UMR 5650, CNRS,CC074, F-34095 Montpellier 05, France
关键词
FOLDED ACOUSTIC PHONONS; SUPERLATTICE; LOCALIZATION; SCATTERING;
D O I
10.1140/epjb/e2009-00061-3
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We theoretically study the propagation of sound waves in GaAs/AlAs superlattices focusing on periodic modes in the vicinity of the band gaps. Based on analytical and numerical calculations, we show that these modes are the product of a quickly oscillating function times a slowly varying envelope function. We carefully study the phase of the envelope function compared to the surface of a semi-infinite superlattice. Especially, the dephasing of the superlattice compared to its surface is a key parameter. We exhibit two kind of modes: Surface Avoiding and Surface Loving Modes whose envelope functions have their minima and respectively maxima in the vicinity of the surface. We finally consider the observability of such modes. While Surface Avoiding Modes have experimentally been observed [Phys. Rev. Lett. 97, 1224301 (2006)], we show that Surface Loving Modes are likely to be observable and we discuss the achievement of such experiments. The proposed approach could be easily transposed to other types of wave propagation in unidimensional semi-infinite periodic structures as photonic Bragg mirror.
引用
收藏
页码:47 / 58
页数:12
相关论文
共 28 条
[1]  
[Anonymous], MECHANIC
[2]  
Ashcroft N. W., 1976, Solid State Physics, Appendix C
[3]   Propagation and localization of acoustic waves in Fibonacci phononic circuits [J].
Aynaou, H ;
El Boudouti, EH ;
Djafari-Rouhani, B ;
Akjouj, A ;
Velasco, R .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2005, 17 (27) :4245-4262
[4]   Coherent acoustic phonons in GaAs/AlAs superlattices [J].
Bartels, A ;
Dekorsy, T ;
Kurz, H ;
Köhler, K .
PHYSICA B, 1999, 263 :45-47
[5]  
Blanch G., 1972, HDB MATH FUNCTIONS, P722
[6]  
Brillouin L., 1946, WAVE PROPAGATION PER
[7]   OBSERVATION OF FOLDED ACOUSTIC PHONONS IN A SEMICONDUCTOR SUPER-LATTICE [J].
COLVARD, C ;
MERLIN, R ;
KLEIN, MV ;
GOSSARD, AC .
PHYSICAL REVIEW LETTERS, 1980, 45 (04) :298-301
[8]  
COMBE N, 2008, B UNION PHYS, V908, P133
[9]  
Gorishnyy T, 2005, PHYS WORLD, V18, P24
[10]   THEORY OF LIGHT-SCATTERING BY LONGITUDINAL-ACOUSTIC PHONONS IN SUPERLATTICES [J].
HE, JJ ;
DJAFARIROUHANI, B ;
SAPRIEL, J .
PHYSICAL REVIEW B, 1988, 37 (08) :4086-4098