Phenomenological characterisation of semi-holographic non-Fermi liquids

Abstract

We analyse some phenomenological implications of the most general semi-holographic models for non-Fermi liquids that have emerged with inputs from the holographic correspondence. We find generalizations of Landau-Silin equations with few parameters governing thermodynamics, low energy response and collective excitations. We show that even when there is a Fermi surface with well-defined quasi-particle excitations, the collective excitations can behave very differently from Landau's theory.

5+5 pages, 3 figures, expanded supplementary material, published version

References in corpus (9)

• Lectures on Holographic Superfluidity and Superconductivity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Electron stars for holographic metallic criticality
• Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals
• A controlled expansion for certain non-Fermi liquid metals
• Un-Fermi Liquids: Unparticles in Strongly Correlated Electron Matter
• Holographic Optics and Negative Refractive Index
• Non-equilibrium fluctuation-dissipation relation from holography

Cited by in corpus (16)

• Strange metal from local quantum chaos
• A semi-holographic model for heavy-ion collisions
• Hybrid Fluid Models from Mutual Effective Metric Couplings
• Illustrated study of the semi-holographic non-perturbative framework
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
• Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
• Holography as a highly efficient RG flow II: An explicit construction
• Quasinormal modes of a semi-holographic black brane and thermalization
• Density response and collective modes of semi-holographic non-Fermi liquids
• Time-dependent $NAd{S}_2$ holography with applications
• $SL(2,R)$ lattices as information processors
• Hydrodynamization in hybrid Bjorken flow attractors
• An effective framework for strange metallic transport
• Hybrid thermalization in the large $N$ limit
• Semi-Holography for Heavy Ion Collisions: Self-Consistency and First Numerical Tests