ICMT Special Seminar: "Finite Conductivity without Momentum Relaxation in Lifshitz Holography"
(sign-up)Brandon Langley, University of Illinois at Urbana Champaign
Institute for Condensed Matter Physics
I will present computations on the optical conductivity at finite chemical potential in a holographic Lifshitz geometry using the Einstein-Dilaton-Maxwell action. From the exact expression for the DC conductivity, we find that for a dynamical exponent $z\neq 1$, the conductivity is finite, despite the system exhibiting translational invariance. This indicates that interactions alone are sufficient for generating finite conductivities even in systems without momentum relaxation. We confirm our result by computing the conductivity numerically and find it does not take a Drude form, indicating our model represents an incoherent metal. Our computation of the charge diffusivity reveals it is possible to violate the Hartnoll diffusivity bound, where we use the butterfly velocity as the proposed characteristic velocity in our model. Additionally, I will discuss ongoing research for computing thermal properties of such systems.
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