Microscopic origin of T-linear resistivity in strange metals
In plain words
Ordinary metals show resistance growing as temperature squared at low temperature, but strange metals show resistance growing linearly in temperature down to the lowest temperatures reached.
Precise statement
Explain $\rho(T) = \rho_0 + A_1 T$ persisting from T well below the Fermi temperature up to and beyond the Mott-Ioffe-Regel limit without saturation, near quantum critical points in cuprates ($p \sim p*$), $\mathrm{YbRh_2Si_2}$ and other materials. An answer is a controlled theory of a metal without long-lived quasiparticles in two or three dimensions that yields T-linear resistivity with the measured slope $A_1$ and its doping or field dependence.
What would settle it
A controlled model calculation that reproduces $A_{1}$, the optical conductivity and the magnetotransport of at least one strange metal with parameters fixed by independent measurements.
Problems built on this one
Special cases
- Why T-linear resistivity persists across the overdoped cuprate range · open
- Why Hall angle and resistivity follow different temperature laws · open
- Origin of quadrature scaling of strange-metal magnetoresistance · open
- Do strange metals carry current in electron-like quasiparticles? · open
- Does spatially random Yukawa coupling explain strange-metal transport quantitatively? · open
Results
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See also
- Related Does cold-atom Hubbard resistivity stay linear in temperature at low T?
- Related Is the pseudogap endpoint $p*$ a quantum critical point?
- Related Kondo breakdown versus spin-density-wave criticality in heavy-fermion metals
- Related Is the Planckian scattering rate universal, and is it a bound?
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