Abstract
Many metals display resistivity saturation - a substantial decrease in the slope of the resistivity as a function of temperature that occurs when the electron scattering rate τ-1 becomes comparable to the Fermi energy EF/ (the Mott-Ioffe-Regel limit). At such temperatures, the usual description of a metal in terms of ballistically propagating quasiparticles is no longer valid. We present a tractable model of a large number N of electronic bands coupled to N2 optical phonon modes, which displays a crossover behavior in the resistivity at temperatures where τ-1∼EF/. At low temperatures, the resistivity obeys the familiar linear form, while at high temperatures, the resistivity still increases linearly, but with a modified slope (that can be either lower or higher than the low-temperature slope, depending on the band structure). The high-temperature non-Boltzmann regime is interpreted by considering the diffusion constant and the compressibility, both of which scale as the inverse square root of the temperature.
Original language | English |
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Article number | 075109 |
Journal | Physical Review B |
Volume | 93 |
Issue number | 7 |
DOIs | |
State | Published - 4 Feb 2016 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics