TL;DR
This paper reviews recent applications of holographic duality (AdS/CFT) to condensed matter physics, focusing on quantum criticality, superconductivity, and impurity models, highlighting new insights into strongly correlated systems.
Contribution
It provides a comprehensive overview of how holographic methods are used to model and analyze complex condensed matter phenomena, including quantum critical states and superconducting instabilities.
Findings
Holographic description of local quantum critical states in large N CFTs.
Identification of instabilities leading to various holographic superconductors.
Realization of quantum criticality through impurity models.
Abstract
This is a short review of recent developments in the application of AdS/CFT methods to some condensed matter problems. In particular we present the holographic description of a local quantum critical state, related to (non)-Fermi liquids and the strange metal, that appears in large N CFTs with a gravity dual at finite density and zero temperature, and explore its properties by probing it with fermionic operators. Further we discuss possible bosonic and fermionic instabilities, leading to s-, p- or d-wave holographic superconductors and "electron stars". Finally we present a realization of local quantum criticality via an impurity problem.
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