Holographic models of non-Fermi liquid metals revisited: an effective field theory approach
arXiv:2307.02526 · doi:10.1103/PhysRevB.109.035163
Abstract
Accessing the physics of strongly coupled metals in a controlled way is a challenging problem in theoretical condensed matter physics. In this paper, we revisit the possibility of understanding strongly coupled metals through a holographic duality with a weakly coupled gravitational theory in one higher dimension (i.e.\ a suitable generalization of the "AdS/CFT duality". Previous attempts at devising holographic models of strongly coupled metals have suffered from severe drawbacks; for example, they do not even seem to be able to describe a Fermi surface that satisfies Luttinger's theorem, which is ought to be a core requirement in any physically reasonable model of a metal. Here, we propose a radically different approach to constructing holographic models of strongly coupled metals. The idea is that for applications, it should be sufficient to construct a holographic dual of the effective field theory that controls the infra-red physics of the metal. We invoke recent work that has identified a precise criterion for such an effective field theory to be "emergeable" from a continuum ultra-violet (UV) theory at nonzero charge density (or its equivalent in lattice models, namely an incommensurate charge filling). We show that imposing this criterion leads to a holographic model of a strongly coupled metal with physically reasonable properties, including a Fermi surface satisfying Luttinger's theorem. We discuss a possible physical interpretation of our results.
24 pages + 6 pages appendices. v3 Fix incorrect upload
References in corpus (18)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Generalized Global Symmetries
- Quantum Criticality in Heavy Fermion Metals
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Effective Holographic Theories for low-temperature condensed matter systems
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Quantum critical transport, duality, and M-theory
- Linear in Temperature Resistivity and Associated Mysteries
- Large theory of critical Fermi surfaces
- Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
- Fermi surfaces and gauge-gravity duality
- Large theory of critical Fermi surfaces II: conductivity
- Superfluids as Higher-form Anomalies
- Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
- Gifts from anomalies: Exact results for Landau phase transitions in metals
- Loop current fluctuations and quantum critical transport
- Collisionless dynamics of general non-Fermi liquids from hydrodynamics of emergent conserved quantities