2010/08/31 by Andreas Karch, S. L. Sondhi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep01(2011)149
published as JHEP 1101:149,2011 · 16 pages; v2: minor typos fixed and ref added; v3: typo fixed and discussion of S-duality clarified and expanded
openalex publication_date 2011/01/01 · arxiv created 2011/01/26 · arxiv updated 2011/02/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Transport at a quantum critical point depends sensitively on the relative magnitudes of temperature, frequency and electric field. Here we used the gauge/gravity correspondence to compute the full temperature and, generally nonlinear, electric field dependence of the electrical conductivity for some model critical theories. In the special case of 2+1 dimensions we are also able to find the full time-dependent response of the system to an arbitrary time dependent external electric field. The response of the system is instantaneous, implying a frequency independent conductivity. We describe a mechanism that rationalizes the instantaneous response.