New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles

Petro Tomchuk, Yevgen Bilotsky

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)


The work is dedicated to the development of the electron-lattice energy exchange theory in metal particles, including dependence on particle size and electron temperature. We compared, for infinite metal, the expressions for the constants of the electron-lattice energy exchange by using the quantum-kinetic approach, with the classical kinetic approach. Both methods give the same result. But as we show, a quantum-kinetic approach in its standard form, for the metal particles smaller than the mean free path of electrons, cannot be applied, while the classical approach can be easily adjusted for such particle. We found a new peculiarity of the electron-lattice energy exchange. This exchange essentially depends on temperature if a particle size is in the range near a certain "magic size". The change of the electron temperature can alter (around the "magic size") the number of the acoustic modes, which are involved in energy transfer. As a result, the constant of the electron-phonon interaction in nanoparticles can be either much higher or much lower than the corresponding constant for infinite metal.

Original languageEnglish
Article number1450220
Number of pages16
JournalInternational Journal of Modern Physics B
Issue number31
Publication statusPublished - 20 Dec 2014
MoE publication typeA1 Journal article-refereed


  • acoustic subzones
  • classical kinetic approach
  • electron temperature
  • electrons
  • energy transfer
  • interaction
  • magic size
  • Nanocrystals
  • phonons
  • quantum-kinetic approach
  • temperature and size dependence


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