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Transport Phenomena in Semiconductor Quantum Devendrawells

Author Affiliations

  • 1Physics Department, Gurukul Kangri Vishwavidyalaya, Haridwar-249404, Uttarakhand, INDIA
  • 2 Physics Department, Texas A and M University, Education City, Doha-23874, QATAR
  • 3 Physics Department, Indian Institute of Technology, Roorkee-247667, Uttarakhand, INDIA

Res. J. Physical Sci., Volume 1, Issue (4), Pages 28-31, May,4 (2013)

Abstract

The problem of heat transport in quantum well structures is investigated with the help of newer concept of equivalence of relaxation times and phonon line width (i.e., a phonon life time). Thevarious contribution of scattering mechanism in nanostructure has been described by taking theelectron-phonon, disorder and anharmonicity effects as a central problem. This has been dealt with thehelp of double time thermodynamic Green's function theory for phonon via a newly formulated Hamiltonian which consists of the contribution from i. unperturbed electrons, ii. unperturbed phonons, iii. isotopic impurities and iv. anharmonicities and v. electron-phonon. In the present work the phonon frequency line width is observed as a very sensitive quantity to study the transport phenomena in quantum well structure.

References

  1. Dingle R., Wiegmann W. and Henry C.H., Quantum States of Confined Carriers in very Thin AlGaAs-GaAs Heterostructures, Phys. Rev. Lett., 33, 827-830 (1974)
  2. Cahill D. G., Ford W. K., Goodson K.E., Mahan G.D., Majumdar A., Maris H.J., Merlin R. and Phillpot S. R., “Nanoscale Thermal Transport”, J. Appl. Phys., 93, 793-818 (2003)
  3. Narayanamurti V., St¨ormer H.L., Chin M.A., Gossard A.C. and Wiegmann W., “Selective Transmission of High-Frequency Phonons by a Superlattice: The “dielectric” Phonon Filter”, Phys. Rev. Lett. 43, 2012-2016 (1979)
  4. Mahan G.D., Thermal Conductivity, Ed. Terry M. Trit, (Kluwer Academic/Plenum Publishers, New York), 1-285 (2004)
  5. Cahill D.G., Goodson K. and Majumdar A., Thermometry and Thermal Transport in Micro/ Nanoscale Solid-State Devices and Structures, J. Heat Transfer, 124 (2), 223-241 (2002)
  6. Hyldgaard P. and Mahan G. D., Phonon Superlattice Transport, Phys. Rev. B, 56,10754-10757 (1997)
  7. Tamura S.I., Tanaka Y. and Maris H.J., Phonon Group Velocity and Thermal Conduction in Superlattices, Phys. Rev. B,60, 2627-2630 (1999)
  8. Ren S.Y. and Dow J.D., Thermal Conductivity of Superlattices, Phys. Rev. B,25, 3750-3755 (1982)
  9. Chen G., Thermal Conductivity and Ballistic-Phonon Transport in the Cross-Plane Direction of Superlattices, Phys. Rev. B,57, 14958-14973 (1998)
  10. Casimir H.B.G., Note on the Conduction of Heat in Crystals, Physica, 5, 495-500 (1938)
  11. Indu B.D., Low Temperature Lattice Thermal Conductivity of Mg2Sn, Mg2Si and Mg2Ge, Nuovo Cimento, 58B, 345-350 (1980)
  12. Callaway J., Phys. Rev., 113, 1046-1051 (1959)
  13. Indu B.D., Theory of Lattice Specific Heat of an Isotopically Disordered Anharmonic Crystal, Int. J. Mod. Phys. B , 1379-1393 (1990) ; Enhanced Phonon Density of States in Impure Anharmonic Crystals, Mod Phys Letters B, , 1665-1672 (1992)
  14. Sharma P.K. and Bahadur R., Thermal Conductivity for Phonon Scattering by Substitutional Defects in Crystals, Phys. Rev. B12, 1522-1530 (1975)
  15. Bahuguna B.P., Painuli C.P. and Indu B. D., Phonon Heat Conductivity of Garnets Containing Rare Earth Ions,Acta Phys. Pol. A,80, 527-554 (1991)
  16. Maradudin A.A. and Flinn P.A. and Coldwell Horsefall R.A., Anharmonic Contributions to Vibrational Thermodynamic Properties of Solids: Part I. General Formulation and application to the linear chain, Ann. Phys., 15, 337-359 (1961)