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- Bloch–Grüneisen_temperature abstract "For typical three-dimensional metals, the temperature-dependence of the electrical resistivity ρ(T) due to the scattering of electrons by acoustic phonons changes from a high-temperature regime in which ρ ∝ T to a low-temperature regime in which ρ ∝ T5 at a characteristic temperature known as the Debye temperature. For low density electron systems, however, the Fermi surface can be substantially smaller than the size of the Brillouin zone, and only a small fraction of acoustic phonons can scatter off electrons. This results in a new characteristic temperature known as the Bloch–Grüneisen temperature that is lower than the Debye temperature. The Bloch–Grüneisen temperature is defined as 2ħvskF/kB, where ħ is the Planck constant, vs is the velocity of sound, ħkF is the Fermi momentum, and kB is the Boltzmann constant.When the temperature is lower than the Bloch–Grüneisen temperature, the most energetic thermal phonons have a typical momentum of kBT/vs which is smaller than ħkF, the momentum of the conducting electrons at the Fermi surface. This means that the electrons will only scatter in small angles when they absorb or emit a phonon.In contrast when the temperature is higher than the Bloch–Grüneisen temperature, there are thermal phonons of all momenta and in this case electrons will also experience large angle scattering events when they absorb or emit a phonon.The Bloch–Grüneisen temperature has been observed experimentally in a two-dimensional electron gas and in graphene.".
- Bloch–Grüneisen_temperature wikiPageID "35955101".
- Bloch–Grüneisen_temperature wikiPageLength "2535".
- Bloch–Grüneisen_temperature wikiPageOutDegree "14".
- Bloch–Grüneisen_temperature wikiPageRevisionID "703438224".
- Bloch–Grüneisen_temperature wikiPageWikiLink Boltzmann_constant.
- Bloch–Grüneisen_temperature wikiPageWikiLink Brillouin_zone.
- Bloch–Grüneisen_temperature wikiPageWikiLink Category:Condensed_matter_physics.
- Bloch–Grüneisen_temperature wikiPageWikiLink Category:Mesoscopic_physics.
- Bloch–Grüneisen_temperature wikiPageWikiLink Category:Nanoelectronics.
- Bloch–Grüneisen_temperature wikiPageWikiLink Debye_model.
- Bloch–Grüneisen_temperature wikiPageWikiLink Electrical_resistivity_and_conductivity.
- Bloch–Grüneisen_temperature wikiPageWikiLink Fermi_energy.
- Bloch–Grüneisen_temperature wikiPageWikiLink Fermi_surface.
- Bloch–Grüneisen_temperature wikiPageWikiLink Graphene.
- Bloch–Grüneisen_temperature wikiPageWikiLink Phonon.
- Bloch–Grüneisen_temperature wikiPageWikiLink Planck_constant.
- Bloch–Grüneisen_temperature wikiPageWikiLink Two-dimensional_electron_gas.
- Bloch–Grüneisen_temperature wikiPageWikiLinkText "Bloch–Grüneisen temperature".
- Bloch–Grüneisen_temperature wikiPageUsesTemplate Template:Reflist.
- Bloch–Grüneisen_temperature subject Category:Condensed_matter_physics.
- Bloch–Grüneisen_temperature subject Category:Mesoscopic_physics.
- Bloch–Grüneisen_temperature subject Category:Nanoelectronics.
- Bloch–Grüneisen_temperature type Diacritic.
- Bloch–Grüneisen_temperature type Mechanic.
- Bloch–Grüneisen_temperature type Physic.
- Bloch–Grüneisen_temperature type Redirect.
- Bloch–Grüneisen_temperature comment "For typical three-dimensional metals, the temperature-dependence of the electrical resistivity ρ(T) due to the scattering of electrons by acoustic phonons changes from a high-temperature regime in which ρ ∝ T to a low-temperature regime in which ρ ∝ T5 at a characteristic temperature known as the Debye temperature.".
- Bloch–Grüneisen_temperature label "Bloch–Grüneisen temperature".
- Bloch–Grüneisen_temperature sameAs Q4927095.
- Bloch–Grüneisen_temperature sameAs m.0jwyty3.
- Bloch–Grüneisen_temperature sameAs Q4927095.
- Bloch–Grüneisen_temperature wasDerivedFrom Bloch–Grüneisen_temperature?oldid=703438224.
- Bloch–Grüneisen_temperature isPrimaryTopicOf Bloch–Grüneisen_temperature.