Metals - electron-hole excitations electron-hole excitations Metals - - PowerPoint PPT Presentation

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Metals - electron-hole excitations electron-hole excitations Metals - - PowerPoint PPT Presentation

Aug 14, 2022 183 likes •260 views

Metals - electron-hole excitations electron-hole excitations Metals - linear response function: Lindhard function k,s Fermi 2 k F sea k+q,s' 0 Metals - collective excitations collective excitations Metals - linear response function:

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Metals - Metals - electron-hole excitations electron-hole excitations

linear response function: Lindhard function

Fermi sea k,s k+q,s' 2 kF

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Metals - Metals - collective excitations collective excitations

linear response function: Lindhard function

small-q-limit:

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Metals - Metals - collective excitations collective excitations

plasma frequency renormalized:

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Metals - Metals - collective excitations collective excitations

spectrum in imagnary part

  • P. Coleman

electron-hole- excitations plasmon

Landau damping in e-h-continuum

decay of plasmon into electron-hole excitations finite lifetime

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Metals - Metals - collective excitations collective excitations

simple metals

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Metals - Metals - collective excitations collective excitations

classical picture +

  • ions

electrons

restoring force equation of motion harmonic oscillator

  • scillation frequency

plasma frequency