2015/01/28 by Sean A. Hartnoll, Andreas Karch · 3 citations
Mathematics · Physics and Astronomy · #Charge (physics) #Combinatorics #Condensed matter physics #Critical exponent #Cuprate #Dimension (graph theory) #Electrical resistivity and conductivity #Exponent #Geometry #Hall effect #Magnetic field #Magnetoresistance #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum field theory #Quantum many-body systems #Quantum mechanics #Scaling #Scaling dimension #Seebeck coefficient #Superconductivity #Theoretical and Computational Physics #cond-mat.str-el #cond-mat.supr-con #hep-th
paper · pdf · doi:10.1103/physrevb.91.155126
published as Phys. Rev. B 91, 155126 (2015) · 1 + 15 pages + references. 1 figure. v2 improved discussion, references added
arxiv created 2015/01/28 · openalex publication_date 2015/04/17 · arxiv updated 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the anomalous temperature scaling of five distinct transport quantities in the strange metal regime of the cuprate superconductors can be reproduced with only two nontrivial critical exponents. The quantities are (i) the electrical resistivity, (ii) the Hall angle, (iii) the Hall-Lorenz ratio, (iv) the magnetoresistance, and (v) the thermopower. The exponents are the dynamical critical exponent z=4/3 and an anomalous scaling dimension \ensuremathΦ=\ensuremath-2/3 for the charge density operator.