Overview of spectroscopies I (MC) - TDDFT.org

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2.9meVParks et al. PRB49,14244(1994)Renormalization of the direct gap of Geby electron-phonon interaction0.95Linear extrapolationE 0= 60meVThe renormalization E 0can be determined either by thelinear extrapolation of E 0(T) or from the dependence ofthe gap on isotopic mass which is proportional to M -1/2The extrapolation gives 60meVThe isotope shift 2.9x2x(73/6)=70meVThe most recent semi-ab-initio calculation[Olguin et al.SSC 122 575 (2002)]gives 64meVCan be fitted withsingle oscillator:Einstein modelThis renormalization should be taken into account whenstate of the art ab initio calculations of the gap are comparedwith experimental results.ΔE(T)= ΔE o [ 1+2(1-exp(ω E /kT) -1 ]24
Temp. Dep. of gap: SiC, path integral molecular dynamicsTotalRenorm.Si contrib.Carbon contributionHernández, Herrero, Ramírez, Cardona, PRB 200825
Page 1 and 2: Manuel Cardona, Max-Planck- Institu
Page 3 and 4: Benedict, Shirley, Bohn, PRB 57, R9
Page 5 and 6: Albrecht et al. PRL 80.4510(1998)Ca
Page 7 and 8: Comparison of calculated with measu
Page 9 and 10: Three electron-phonon interaction t
Page 11: A single crystal of 29 Si (5% natur
Page 14 and 15: 2.9meVParks et al. PRB49,14244(1994
Page 16 and 17: 7.37.27.4ΔE = 0.7 eVClassical mole
Page 18 and 19: Although no isotope effect measurem
Page 20 and 21: Fermi Surface of diamond and electr
Page 22 and 23: Why is the electron-phonon interact
Page 26 and 27: Superconductivity in boron-doped si
Page 28 and 29: Specific heat of diamond vs.T: Eins
Page 30 and 31: Luis Viňa (Stuttgart, 1981)Patrici
Page 32 and 33: Contribution of zinc and oxygen to
Page 34 and 35: Periodic Table ( Section)Mg Al Si P
Page 36 and 37: Sharp indirect edge luminescence in
Page 38 and 39: DIAMONDT. Sato et al. PRB 65, 09210
Page 40 and 41: 90 meV, confirmed by isotope measur

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