Is the Planckian scattering rate universal, and is it a bound? · revision history
Revision 2
Accepted · cosmetic change · record
Changes against revision 1:
- Title · changed
- Revision 1: Is the Planckian scattering rate universal, and is it a bound
- Revision 2: Is the Planckian scattering rate universal, and is it a bound?
- Plain
- Data in several materials suggest the electron scattering rate equals temperature times a fixed combination of Boltzmann's and Planck's constants; it is unknown whether this is a true limit.
- Precise
- With $\hbar/\tau = \alpha k_B T$ extracted from the T-linear resistivity slope and the independently measured effective mass and carrier density, test whether $\alpha = 1$ within error across strange metals and whether any metal sustains $\alpha >> 1$. An answer is a proof of a bound on the transport scattering rate within a defined class of models, or a material with reliably measured $\alpha$ well above 1.
- Settled by
- Quantum-oscillation or specific-heat masses combined with resistivity slopes in many materials, plus a theorem bounding $\hbar/\tau$ in a stated class of models.
- Kind
- well-posed
- Answer type
- yes-no
- References
- (empty)
- Literature status
- contested
- Status note
- Analyses of several hole-doped cuprates (2019) gave $\alpha \sim 1$; no rigorous bound on the transport rate is known.
- Posed since
- 2004
Decisions
- Accepted (cosmetic change) · 2026-10-15 · record