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Volumn 33, Issue 6, 1986, Pages 4213-4220

Theory of microwave absorption in wide-band-gap insulators: The role of thermal phonon lifetimes

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Indexed keywords

EID: 0001621789 PISSN: 01631829 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevB.33.4213 Document Type: Article

Times cited : (25)

References (14)

1
- 30244488823
- For an example of such calculations, see the paper by
- (1977) Phys. Rev. B , vol.16 , pp. 4608
- Eldridge, J.E.¹ Staal, P.R.²

2
- 0001102670
- Simple theory of microwave absorption in alkali halides
- The potential importance of lifetime broadening on the calculation of the microwave absorption rate in insulators was also discussed in the classic paper by, 139, A1295, R. Stolen, K. Dransfeld, Phys. Rev.
- (1965) Physical Review B , vol.26 , pp. 6987
- Sparks, M.¹ King, D.F.² Mills, D.L.³

3
- 4243271650
- (1982) Phys. Rev. B , vol.26 , pp. 3327
- Hardy, J.R.¹ Karo, A.M.²

4
- 84926554747
- in Fig. 8 of Ref. 1, the three-phonon contribution to Γ0,TO ( Ω ) is clearly finite in the limit Ω ->0. A fundamental theorem, quoted in our text, requires this quantity to vanish at OMEGA=0. Clearly, then, the results reported in this figure are unreliable at low frequencies. We emphasize that the paper of Eldridge and Staal was concerned with higher frequencies, where their ``smearing'' procedure likely introduced only very little error.

5
- 33749364468
- (1962) Phys. Rev. , vol.128 , pp. 2589
- Maradudin, A.A.¹ Fein, A.E.²

8
- 84926545639
- See, e.g., the compilation by H. Bilz and W. Kren, in Phonon Dispersion Relations in Insulators (Springer-Verlag, Berlin, 1979).

9
- 0001420419
- The model is referred to as model VI in
- (1963) Phys. Rev. , vol.131 , pp. 1030
- Cowley, R.A.¹ Cochran, W.² Brockhouse, B.N.³ Woods, A.D.B.⁴

10
- 0005229345
- (1970) Phys. Rev. B , vol.2 , pp. 2098
- Raunio, G.¹ Rolandson, S.²

12
- 35949037817
- (1971) Phys. Rev. B , vol.4 , pp. 3572
- Berg, J.I.¹ Bell, E.E.²

13
- 0006923183
- (1965) Phys. Rev. , vol.139 , pp. A1295
- Stolen, R.¹ Dransfeld, K.²

14
- 84926606511
- Eldridge and Staal (Ref. 1) have rpeorted some calculations of the three-phonon contribution to alpha, but they provide few details of the procedure. The comment in our Ref. 4 applies to these calculations.

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