Abstract
The linear-T resistivity is one of the characteristic and universal properties of strange metals. There have been many progresses in understanding it from holographic perspective (gauge/gravity duality). In most holographic models, the linear-T resistivity is explained by the property of the infrared geometry and valid at low temperature limit. On the other hand, experimentally, the linear-T resistivity is observed in a large range of temperatures, up to room temperature. By using holographic models related to the Gubser-Rocha model, we investigate how much the linear-T resistivity is robust at higher temperature above the superconducting phase transition temperature. We find that strong momentum relaxation plays an important role to have a robust linear-T resistivity up to high temperature.
Highlights
Of metric and matter fields at the horizon
The linear-T resistivity is explained by the property of the infrared geometry and valid at low temperature limit
By using holographic models related to the Gubser-Rocha model, we investigate how much the linear-T resistivity is robust at higher temperature above the superconducting phase transition temperature
Summary
The first term S1 is the Einstein-Maxwell-Dilaton model which we call the ‘Gubser-Rocha model’ [26]. This model constitutes of three fields: metric, U(1) gauge field, and a scalar field so called the ‘dilaton’. Suppose that the IR physics of a system is well described by hydrodynamics with a minimal shear viscosity (η ∼ s), which is typical in strongly correlated systems with holographic duals. If this system lose momentum weakly by coupling to random disorder the resistivity turns out to be proportional to viscosity.
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