AdS/CFT gives a framework for using calculations from a weakly curved gravitational theory to describe phenomena in strongly correlated matter. In this work we study some holographic models this...Show moreAdS/CFT gives a framework for using calculations from a weakly curved gravitational theory to describe phenomena in strongly correlated matter. In this work we study some holographic models this has put forward, such as the Reissner-Nordstro ̈m metal and the holographic superconductor. Of these models we observe transport properties like the optical conductivity under both translational invariance and broken symmetry. Lastly, we merged the two systems into the two-charge holographic superconductor and managed to again see the phase transition, measure the optical conductivity and analyse the two- fluid model.Show less
In the past decades experiments have found condensed matter systems which could not be described by the conventional methods of condensed matter theory, these are densely entangled strange metals....Show moreIn the past decades experiments have found condensed matter systems which could not be described by the conventional methods of condensed matter theory, these are densely entangled strange metals. During the same period, the string theory community has developed the AdS/CFT correspondence, a duality between field theories and gravitational systems. This duality may be used to understand condensed matter field theory from a gravitational perspective. It is especially useful for densely entangled quantum matter, which can be described according to the duality by charged black hole systems of classical gravity. In this thesis we will consider the Gubser-Rocha black hole of the Einstein-Maxwell-Dilaton action to describe a metal. To understand charge and heat transport in these metals, one needs a mechanism to dissipate momentum. This is explicitly implemented by introducing a periodic lattice in the condensed matter system. Using heavy numerical codes to calculate the gravitational differential equations that are dual to the metal, we can find the transport properties of our metal. In this metal a linear in T resistivity is found, which is a famous property of the strange metals. Furthermore we find empirically a saturation of the conductivity, which could be the instance of Planckian dissipation and the minimal viscosity of the strange metal.Show less
The AdS/CFT correspondence provides a way to perform computations on strongly interacting, conformal systems living in the AdS boundary by studying the behaviour of the holographic dual in the form...Show moreThe AdS/CFT correspondence provides a way to perform computations on strongly interacting, conformal systems living in the AdS boundary by studying the behaviour of the holographic dual in the form of a black hole in the centre. Until now, such inquiries where limited to spatially homogeneous systems, however, metallic systems are characterized by the presence of an ionic lattice. We study the DC magneto-transport of a dual to Reissner-Nordstrom metal using a novel code which numerically computes its behaviour in two dimensions in the presence of an explicit lattice and a magnetic field. We find that conductivity is dominated by Drude transport at low temperatures. Furthermore, we find that the transport is described by a transverse relaxation rate of angular momentum in addition to a longitudinal rate and these depend differently on temperature. This hints that AdS/CMT may provide an explanation to the anomalous temperature scaling of the Hall Angle in the strange metal phase of high temperature superconductors.Show less
We describe a complete strategy to numerically compute the collapse of a massless U(1) charged scalar field into a black brane final state in 4+1-dimensional anti-de Sitter space. We implement this...Show moreWe describe a complete strategy to numerically compute the collapse of a massless U(1) charged scalar field into a black brane final state in 4+1-dimensional anti-de Sitter space. We implement this strategy to investigate the formation of scalar hair, corresponding to a superconducting order parameter in a dual conformal field theory. We show that the approach to the final state takes the form of damped oscillations, with the degree of damping being strongly dependent on the temperature of the final state, as well as on the near-boundary shape of the initial distribution.Show less
