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Title: Role of scattering Processes in lattice thermal conductivity of Ge
Authors: Ansari, M Ataullah
Singh, Nitin P
Indu, B D
Keywords: Lattice thermal conductivity;Phonons;Dispersion relation
Issue Date: Jan-2007
Publisher: CSIR
IPC Code: G01N25/18
Abstract: The various objections raised against Callaway’s classic paper on the model of phonon heat conductivity such as (i) unresolved problem of additivity of inverse relaxation times (inadequate use of Mathiessen’s rule), (ii) absence of dispersion relation and (iii) lack of sufficient information pertaining to phonon modes (phonon velocities), have been amicably removed in this paper. The problem is solved by the use of phonon frequency spectrum and phonon group velocity formulation via the method of double time thermodynamic Green’s functions developed via an almost realistic Hamiltonian (second quantized) containing the effects of impurities, anharmonicities and their interactions. The lattice thermal conductivity of two samples of germanium has been analyzed on the basis of this modified model and a fairly good agreement between theory and experimental observations has been reported. The involvement of different scattering events has been discussed via a new approach, which is capable to explore the various temperature regimes of their effectiveness. The role of interference mode is an additive feature of this work.
Page(s): 27-30
ISSN: 0019-5596
Appears in Collections:IJPAP Vol.45(01) [January 2007]

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