or Umklapp scattering. Umklapp phonon-phonon scattering exchanges momentum with the crystal lattice, so phonon momentum is not conserved, but Umklapp processes...

atoms in a crystal lattice. Peierls explored—and named—the phenomenon of umklapp scattering. He submitted this work as his DPhil thesis, Zur kinetischen...

temperatures is dominated by electron–electron scattering in combination with umklapp scattering. For a Fermi liquid, the resistivity from this mechanism varies...

interact when they sum to integer multiples of the Brillouin vectors (Umklapp scattering). Although three-wave systems provide the simplest form of resonant...

\omega _{q}\,} k ′ − k ± q = { 0   R Umklapp-process {\displaystyle k'-k\pm q={\begin{cases}0&{\text{ }}\\R&{\text{Umklapp-process}}\end{cases}}} where R is...

material Sollbruchstelle, predetermined breaking point Spiegeleisen Trommel Umklapp process (German spelling: Umklappprozess) Vierbein, and variations such...

direction of energy transport. Therefore, these processes are also known as Umklapp (U) processes and can only occur when phonons with sufficiently large q-vectors...