Temperature Dependence of In-plane Resistivity and Inverse Hall Angle in NLED Holographic Model
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摘要:
In the strange metal phase of the high-Tc cuprates,it is challenging to explain the linear temperature dependence of the in-plane resistivity and the quadratic temperature dependence of the inverse Hall angle.In this paper,we investigate the temperature dependence of the in-plane resistivity and inverse Hall angle in the nonlinear electrodynamics holographic model developed in our recent work.Maxwell electrodynamics and Born-Infeld electrodynamics are considered.Both cases support a wide spectrum of temperature scalings in parameter space.For Maxwell electrodynamics,the T-linear in-plane resistivity generally dominates at low temperatures and survives into higher temperatures in a narrow strip-like manner.Meanwhile,the T-quadratic inverse Hall angle dominates at high temperatures and extends down to lower temperatures.The overlap between the T-linear in-plane resistivity and the T-quadratic inverse Hall angle,if occurs,would generaJly present in the intermediate temperate regime.The Born-Infeld case with a > 0 is quite similar to the Maxwell case.For the Born-Infeld case with a < 0,there can be a constraint on the charge density and magnetic field.Moreover,the overlap can occur for strong charge density.