CM In the literature: open

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 ($p \sim p*$), YbRh2Si2 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.

Related problems

See also