Acoustic modes in free and embedded quantum dots

Acoustic phonon spectra were calculated for different quantum dots for the free-standing case and for the case in which the quantum dot is embedded in a selection of different matrix materials including semiconductors, plastic, and water. The case of water as a matrix embedding a quantum dot is of special interest in biology where quantum dots are being used as biological tags. The acoustic phonon modes can be normalized in the free-standing case and the Hamiltonians for the deformation potential interactions derived. The results demonstrate that the matrix can have a large effect on the acoustic phonon spectrum and therefore it should be included when calculating the acoustic modes of the quantum-dot heterostructures. Simple analytic results are used to specify completely the lowest-order spherical breathing mode for free-standing quantum dots.

[1]  Mitra Dutta,et al.  Phonons in Nanostructures , 2001 .

[2]  Jerry R. Meyer,et al.  Band parameters for III–V compound semiconductors and their alloys , 2001 .

[3]  W. M. Haynes.  CRC Handbook of Chemistry and Physics , 1990 .

[4]  M. Shim,et al.  Intraband hole burning of colloidal quantum dots , 2001 .

[5]  T. Reinecke,et al.  Electron–acoustic-phonon scattering rates in II–VI quantum dots: contribution of the macroscopic deformation potential , 2000 .

[6]  Chad A. Mirkin,et al.  Programmed Assembly of DNA Functionalized Quantum Dots , 1999 .

[7]  S. Nguyen,et al.  Hybrid nanoparticles with block copolymer shell structures , 1999 .

[8]  S. Nie,et al.  Quantum-dot-tagged microbeads for multiplexed optical coding of biomolecules , 2001, Nature Biotechnology.

[9]  C. Mirkin,et al.  DNA-modified core-shell Ag/Au nanoparticles. , 2001, Journal of the American Chemical Society.

[10]  M. Stroscio,et al.  Quantized acoustic phonon modes in quantum wires and quantum dots , 1994 .

[11]  Arai,et al.  Low-frequency Raman scattering from CdS microcrystals embedded in a germanium dioxide glass matrix. , 1993, Physical review. B, Condensed matter.

[12]  T. Ichinokawa,et al.  Lattice vibrations and specific heat of a small particle , 1982 .

[13]  E. Grant,et al.  Structure and dynamics of 3sE’ cyclopropane: A very fluxional multimode Jahn–Teller system , 1988 .

[14]  Erica Klarreich,et al.  Biologists join the dots , 2001, Nature.

[15]  Wind,et al.  Exchange interaction and phonon confinement in CdSe quantum dots. , 1996, Physical review. B, Condensed matter.

[16]  F. Wise,et al.  COHERENT ACOUSTIC PHONONS IN A SEMICONDUCTOR QUANTUM DOT , 1997 .

[17]  Novikov,et al.  Influence of a glass matrix on acoustic phonons confined in microcrystals. , 1996, Physical review. B, Condensed matter.

[18]  D. Balding,et al.  HLA Sequence Polymorphism and the Origin of Humans , 2006 .

[19]  Paul F. Barbara,et al.  Selection of peptides with semiconductor binding specificity for directed nanocrystal assembly , 2000, Nature.

[20]  Takagahara.  Electron-phonon interactions and excitonic dephasing in semiconductor nanocrystals. , 1993, Physical review letters.