Generalized Holographic Quantum Criticality at Finite Density

TL;DR

This paper demonstrates that near-extremal Einstein-Maxwell-Dilaton solutions serve as IR quantum critical geometries at finite density, unifying various scaling behaviors and regularizing singularities within a broader theoretical framework.

Contribution

It introduces a unifying perspective on IR quantum critical geometries in EMD theories by embedding them into higher-dimensional solutions, explaining their thermodynamics and transport properties.

Findings

IR geometries are embedded in higher-dimensional AdS and Lifshitz solutions.

Scaling of thermodynamic functions and transport coefficients is explained.

Singularities are regulated within the proposed framework.

Abstract

We show that the near-extremal solutions of Einstein-Maxwell-Dilaton theories, studied in ArXiv:1005.4690, provide IR quantum critical geometries, by embedding classes of them in higher-dimensional AdS and Lifshitz solutions. This explains the scaling of their thermodynamic functions and their IR transport coefficients, the nature of their spectra, the Gubser bound, and regulates their singularities. We propose that these are the most general quantum critical IR asymptotics at finite density of EMD theories.