Anomalous scalings of cuprate strange metals from nonlinear electrodynamics

Sera Cremonini; Anthony Hoover; Li Li; Steven Waskie

doi:10.1103/PhysRevD.99.061901

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Anomalous scalings of cuprate strange metals from nonlinear electrodynamics

Sera Cremonini, Anthony Hoover, Li Li, Steven Waskie

DOI 10.1103/PhysRevD.99.061901 · Physical Review D

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Abstract

We examine transport in a holographic model which describes, through a nonlinear gauge field sector, generic nonlinear interactions between the charge carriers. Scaling exponents are introduced by using geometries which are nonrelativistic and hyperscaling-violating in the infrared. In the dilute charge limit in which the gauge field sector does not backreact on the geometry, a particularly simple nonlinear theory reproduces the anomalous temperature dependence of the resistivity and Hall angle of the cuprate strange metals, R∼T and cotΘH∼T2 while also allowing for a linear entropy S∼T, and predicts that the magnetoresistance for small values of the magnetic field h should scale as ∼h2T−4. Our study lends evidence to the idea that the strange metal behavior of the cuprates relies crucially on the linear temperature dependence of the entropy.