Lectures on holographic non-Fermi liquids and quantum phase transitions

Understand

In these lecture notes we review some recent attempts at searching for non-Fermi liquids and novel quantum phase transitions in holographic systems using gauge/gravity duality.

• We do this by studying the simplest finite density system arising from the duality, obtained by turning on a nonzero chemical potential for a U(1) global symmetry of a CFT, and described on the gravity side by a charged black hole.
• We address the following questions of such a finite density system: 1.
• Does the system have a Fermi surface? What are the properties of low energy excitations near the Fermi surface? 2.