Doctor of Philosophy
This thesis examines magnetotransport in holographic models that describe gravity coupled to a non-linear gauge field sector and scalars. Momentum dissipation in the system is generated by including axionic terms which break translational invariance. Such theories can be used to describe systems with non-linear interactions between charge carriers, which are expected to play an important role in strongly correlated electron matter. The first model studied in the thesis is based on the Dirac-Born-Infeld D-brane action. We construct new fully backreacted black hole solutions to this theory and compute the associated conductivities, using holographic techniques. We show that some of these new geometries also support magnetic-fieldinduced metal-insulator transitions. We then extend the construction of holographic conductivities and the magnetotransport analysis to a more general class of models with a non-linear gauge sector. We study non-relativistic Lifshitz and hyperscaling violating geometries in this larger class of theories, which can be used to describe dual systems that are quantum critical. Working in a dilute charge limit, we identify clean scaling regimes in the transport properties of the dual system. In particular, we realize the temperature scalings of the entropy, resistivity, Hall angle and magnetoresistance seen in the strange metal phase of the cuprate high temperature superconductors. Our results rely crucially on the presence of nonlinear interactions among the charge carriers.
Hoover, Anthony, "Holographic Models for Strongly Coupled Phases of Matter" (2019). Theses and Dissertations. 5599.