The Extended Diffusive Sachdev-Ye-Kitaev Model as a Sort of "Strange Metal"

The linear dependence on temperature of the resistivity in metals undergoing high-temperature superconducting transition is a puzzle, which is generally attributed to non-Fermi liquid behavior on a large range of temperature values. No particle and momentum conservation characterizes the 0 + 1 - d Sachdev-Ye-Kitaev model as a tractable non-Fermi liquid starting paradigm, when extended to higher space dimensions. Due to the conformal symmetry breaking in the incoherent phase, Goldstone bosons arise, which provide energy diffusion in the lattice. The linear response to energy diffusion in the model is discussed, which is in principle charge neutral and non-momentum conserving, and the temperature dependence of the thermal and electric conductivity in the incoherent prechaotic, intermediate temperature phase is obtained.