TL;DR
This paper develops a hydrodynamic framework for quantum critical points with Lifshitz scaling, revealing new dissipative effects due to broken boost invariance and applying it to strange metals to predict measurable transport phenomena.
Contribution
It introduces a general Lifshitz hydrodynamics formulation accounting for boost symmetry breaking and demonstrates its application to strange metals using a Drude model.
Findings
Resistivity scales linearly with temperature.
New dissipative transport coefficients are identified.
Potential experimental methods to measure these effects are proposed.
Abstract
We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of boost symmetry. We use a Drude model of a strange metal to study the physical effects of the new transport coefficient. It can be measured using electric fields with non-zero gradients, or via the heat production when an external force is turned on. Scaling arguments fix the resistivity to be linear in the temperature.
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