Lectures on holographic non-Fermi liquids and quantum phase transitions
By N. Iqbal, Hong Liu, M. Mezei. 2011
191 citations recorded by the source corpus.
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. Does the system have an instability to condensation of scalar operators? What is the critical behavior near the corresponding quantum critical point? We find interesting parallels with those of high T_c cuprates and heavy electron systems. Playing a crucial role in our discussion is a universal intermediate-energy phase, called a "semi-local quantum liquid", which underlies the non-Fermi liquid and novel quantum critical behavior of a system. It also provides a novel mechanism for the emergence of lower energy states such as a Fermi liquid or a superconductor.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0b38eff11f716f0f1378634c447e688774f6488e
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Citations in the corpus
- Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “Beyond providing new tools with which to model specific phenomena, holography has sometimes suggested new organizing principles for strongly quantum dynamics, as seen for example in semi-holographic models of non-Fermi liquids [309, 310, 311], or in the application of classical numerical relativity ”
- Holographic Quantum Matter (2016, methodology): “Figure adapted with permission from [413].”
- Notes on the complex Sachdev-Ye-Kitaev model (2019, background): “[5,41], and was found to have the same spectral asymmetry as that in Eq.”