1994
DOI: 10.1103/physrevb.50.10970
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Confined and interface acoustic phonons in a quantum wire

Abstract: Confined and interface acoustic phonon modes in a cylindrical quantum wire embedded in another material are analytically investigated based on the elastic continuum model by means of the potential theory. Confined acoustic phonon modes are coupled modes of bulk-longitudinal and transverse acoustic waves, classified into torsional, dilatational, and flexural modes due to the rotational symmetry of the modes. Dispersions of the confined modes have subband structures with finite cutoff frequencies owing to quanti… Show more

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Cited by 42 publications
(39 citation statements)
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“…However, different from the bulk case, the phonon spectrum in nanowires becomes highly non-trivial due to the mixing of the branches by the boundaries, 45 leading to a strong modification of the relaxation time.…”
mentioning
confidence: 99%
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“…However, different from the bulk case, the phonon spectrum in nanowires becomes highly non-trivial due to the mixing of the branches by the boundaries, 45 leading to a strong modification of the relaxation time.…”
mentioning
confidence: 99%
“…. The functions f i ns (r) depend only on the radius 45,47 and χ i are normalization factors. The effective spin-phonon interaction can be found following the same procedure as that used for deriving the spin-photon interaction for both cases in Fig.1. A. Spin-relaxation in strongly-longitudinal confined QDs…”
mentioning
confidence: 99%
“…1,2 They attract attention in a wide range of fields by virtue of their potential applications, such as biological and chemical sensors. [9][10][11][12] It has been reported that in ultrathin plate structures, such acoustic phonon modulation enhances the scattering, 13 and consequently, the electron scattering rate is larger than that given by the bulk phonon approximation, [14][15][16][17] and hence the electron mobility is smaller. Electrons in nanowires are confined laterally and travel one-dimensionally along this axis.…”
Section: Introductionmentioning
confidence: 99%
“…The researches on the acoustic phonon modulation and its impact on electron-phonon interaction have so far been reported for a free-standing slabs [1][2][3][4][5][6][7], III-V semiconductor heterostructures [8][9][10][11], Si/SiO 2 interface in metal-oxidesemiconductor field-effect-transistors (MOSFETs) [12,13], double-gate or silicon-on-insulator (SOI) MOSFETs [14], free-standing wires [15][16][17][18][19][20][21][22][23][24][25][26], layered wires [27][28][29][30][31][32][33], onedimensional quantum dot array (wire heterostructures) [34,35], free-standing dots [36], embedded spheres (dots) [37][38][39], hollow spheres and nanotubes [40]. All of those analyses are based on the fundamental physics of elastic waves in solids [41,42] and basic theory of solid-state physics.…”
mentioning
confidence: 99%