Overview of spectroscopies I (MC) - TDDFT.org

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Recent work by A. Marini, PRL in press (2008)ab initio calculation of imaginary part of dielectricfunction of silicon including electron-phononinteraction and effects of this interaction onexciton effects. Blue curves are experimental dataof Lautenschlager et al., PRB 36, 4821 (1897)8
Three electron-phonon interaction terms must be consideredto lowest order in T :1. Thermal expansion: can be included as a change of the lattice constants with Tor with isotopic mass at T=0 : Quasistatic approximation (somewhat trivial) dEE ln VdlnV ln V q [2 ( ) 1], jq , jnB q , jBV2. First and second order electron phonon interaction: renormalization ofelectron propagators:Fan termsAntončik termsu u u 2 uq,j {2[exp( / kT) 1] 1}4M2 1 fM;4MM4 f1212 Complications at low T discussed laterZero pointAt high T, kT , independent of M (classical effect)At low T, M -½ , zero point vibrations (quantum)9
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: Comparison of calculated with measu
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 24 and 25: 2.9meVParks et al. PRB49,14244(1994
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

Overview of spectroscopies I (MC) - TDDFT.org

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