Abstract
We model strange metals as quantum liquids without quasiparticle excitations, but with slow momentum relaxation, and with slow diffusive dynamics of a conserved charge and energy. General expressions are obtained for electrical, thermal and thermoelectric transport in the presence of an applied magnetic field using the memory matrix formalism. In the appropriate limits, our expressions agree with previous hydrodynamic and holographic results. We discuss the relationship of such results to thermoelectric and Hall transport measurements in the strange metal phase of the hole-doped cuprates.
Highlights
We model strange metals as quantum liquids without quasiparticle excitations, but with slow momentum relaxation, and with slow diffusive dynamics of a conserved charge and energy
Combining this momentum mode with reasonable assumptions on the diffusion of the conserved U(1) charge and energy densities, general results were obtained by Hartnoll et al [5] for the charge and thermoelectric transport coefficients of a two-dimensional strange metal in the presence of a static magnetic field, B
If we specialize to a Lorentz-invariant quantum critical system deformed by a chemical potential μ, we may compare to the results found in [5] using hydrodynamics
Summary
The strange metal phase of the hole-doped cuprate superconductors is the most important realization of quantum matter not amenable to a quasiparticle description [1, 2]. The main assumption of their theory, apart from the absence of any quasiparticle excitations, was that there was a slow mode associated with the decay of the total momentum Such a slow mode is invariably present in proposed fieldtheoretic models of strange metals [6, 7], and the decay arises from perturbations which break the continuous translational symmetry of the field theory (umklapp scattering or impurities). Combining this momentum mode with reasonable assumptions on the diffusion of the conserved U(1) charge and energy densities, general results were obtained by Hartnoll et al [5] for the charge and thermoelectric transport coefficients of a two-dimensional strange metal in the presence of a static magnetic field, B. Emerges memory matrix appropriate microscopics for cuprates perturbative limit holography matrix large N theory; non-perturbative computations
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