Magnetic Critical Solutions in Holography

TL;DR

This paper explores magnetic critical solutions within holographic models, revealing that quantum critical lines and points persist under magnetic fields, characterized by specific critical exponents in Einstein-Maxwell-Dilaton theories.

Contribution

It introduces magnetic critical scaling solutions in EMD theories with parity-odd terms, extending previous work to include magnetic fields and analyzing their critical behavior.

Findings

Quantum critical lines exist with magnetic fields.

Critical solutions characterized by exponents ($ heta,z,$).

Magnetic fields do not eliminate quantum critical points.

Abstract

The AdS/CFT correspondence is a realization of the holographic principle in the context of string theory. It is a map between a quantum field theory and a string theory living in one or more extra dimensions. Holography provides new tools to study strongly-coupled quantum field theories. It has important applications in quantum chromodynamics (QCD) and condensed matter (CM) systems, which are usually complicated and strongly coupled. Quantum critical CM theories have scaling symmetries and can be connected to higher-dimensional scale invariant space-times. The Effective Holographic Theory paradigm may be used to describe the low-energy (IR) holographic dynamics of quantum critical systems by the Einstein-Maxwell-Dilaton (EMD) theory. We find the magnetic critical scaling solutions of an EMD theory containing an extra parity-odd term $F\wedge F$. Previous studies in the absence of magnetic fields have shown the existence of quantum critical lines separated by quantum critical points. We find this is also true in the presence of a magnetic field. The critical solutions are characterized by the triplet of critical exponents ($\theta,z,\zeta$), the first two describing the geometry, while the latter describes the charge density.