Holographic mean field theory and Kondo lattice
arXiv:2407.01978 · doi:10.1007/JHEP12(2024)123
Abstract
We first study a non-relativistic field theory model for the Kondo lattice by introducing the Kondo condensation, whose main effect is the hybridization of the flat band of the localized electron with dispersive one of the itinerant electron. The problem here is that the resulting Kondo condensation arises only in strong coupling where the validity of the mean field theory is questionable. Therefore, we build a holographic mean field theory of the Kondo lattice with strong coupling by identifying the effect of the lattice with the fermion's spectral shape due to the coupling with the order parameter representing the symmetry breaking. For the flat band spectrum we use the mixed quantization, and for the dispersive spectrum we intoduce the second fermion in standard quantization. The coupling of the two fermions with the scalar order representing the Kondo condensation provides the hybrization of the two spectrum, reproducing the main feature of the Kondo lattice together with the fuzzy character of the spectrum of the strongly coupled system.
References in corpus (51)
- Gauge Theory Correlators from Non-Critical String Theory
- Lectures on holographic methods for condensed matter physics
- Topological Kondo Insulators
- Lectures on Holographic Superfluidity and Superconductivity
- Quantum phase transitions
- Holographic duality with a view toward many-body physics
- String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
- Non-Fermi liquids from holography
- Holographic metals and the fractionalized Fermi liquid
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Real-time response in AdS/CFT with application to spinors
- Introduction to Holographic Superconductors
- Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
- Condensed matter and AdS/CFT
- The Spectrum of Excitations of Holographic Wilson Loops
- Holographic Lattices, Dimers, and Glasses
- Holographic non-Fermi liquid fixed points
- Towards a holographic marginal Fermi liquid
- One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
- Strange metals and the AdS/CFT correspondence
- A Holographic Model of the Kondo Effect
- A Holographic Flat Band
- A maximally supersymmetric Kondo model
- Adventures in Holographic Dimer Models
- Entanglement Entropy in a Holographic Kondo Model
- Holographic impurities and Kondo effect
- Topological nodal line semimetals in holography
- Holographic Kondo Model in Various Dimensions
- Holographic non-relativistic fermionic fixed point and bulk dipole coupling
- Quantum Quenches in a Holographic Kondo Model
- Two-point Functions in a Holographic Kondo Model
- Kondo phase diagram of quark matter
- Interplay between chiral symmetry breaking and the QCD Kondo effect
- Topology and stability of the Kondo phase in quark matter
- Fermionic impurities in Chern-Simons-matter theories
- Observation of Kondo condensation in a degenerately doped silicon metal
- Mott transition with Holographic Spectral function
- Holographic Kondo and Fano Resonances
- Kondo effect driven by chirality imbalance
- Ginzberg-Landau-Wilson theory for Flat band, Fermi-arc and surface states of strongly correlated systems
- Brane embeddings in sphere submanifolds
- Flow Equation and Fermion Gap in the Holographic Superconductors
- Two relativistic Kondo effects: Classification with particle and antiparticle impurities
- Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study
- Fermionic impurities in the unquenched ABJM
- Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
- Holographic RG Flows for Kondo-like Impurities
- Dirac Kondo effect under magnetic catalysis
- Holographic Lieb lattice and gapping its Dirac band
- Log-rise of the Resistivity in the Holographic Kondo Model
- Mean field theory for strongly coupled systems: Holographic approach