2018/12/31 by Sera Cremonini, Anthony Hoover, Anthony K. Hoover +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Condensed matter physics #Cuprate #Exponent #Gauge theory #Geometry #Magnetic field #Magnetoresistance #Mathematical physics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Superconductivity #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.99.061901
published as Phys. Rev. D 99, 061901 (2019) · v2: revised version, 6 pages+supplemental material, to appear as a Rapid Communication in PRD
arxiv created 2019/03/18 · openalex publication_date 2019/03/29 · arxiv updated 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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\ensuremath∼T and cot\mathrm\ensuremathΘH\ensuremath∼T2 while also allowing for a linear entropy S\ensuremath∼T, and predicts that the magnetoresistance for small values of the magnetic field h should scale as \ensuremath∼h2T^\ensuremath-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.