TL;DR
This paper reviews how the AdS/CFT correspondence provides insights into strong coupling problems in condensed matter physics, focusing on quantum critical dynamics and symmetry-breaking transitions in metals.
Contribution
It introduces new applications of AdS/CFT to model quantum critical crossover functions and Fermi surface-related symmetry breaking in condensed matter systems.
Findings
Quantum critical crossover functions characterized
Hydrodynamics of magneto-thermoelectric transport analyzed
Scaling structure of Ising-nematic transition described
Abstract
I review two classes of strong coupling problems in condensed matter physics, and describe insights gained by application of the AdS/CFT correspondence. The first class concerns non-zero temperature dynamics and transport in the vicinity of quantum critical points described by relativistic field theories. I describe how relativistic structures arise in models of physical interest, present results for their quantum critical crossover functions and magneto-thermoelectric hydrodynamics. The second class concerns symmetry breaking transitions of two-dimensional systems in the presence of gapless electronic excitations at isolated points or along lines (i.e. Fermi surfaces) in the Brillouin zone. I describe the scaling structure of a recent theory of the Ising-nematic transition in metals, and discuss its possible connection to theories of Fermi surfaces obtained from simple AdS duals.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.