Anderson Impurity Model — Kondo Physics

Spectral function & NRG energy flow for a correlated quantum impurity

Model Parameters

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Physics

Occupancy ⟨n_d⟩
Kondo T_K/Γ
Kondo regime
H = ε_d n_d + U n_↑n_↓ + Σ_k(V c†_k d + h.c.)
Γ = π|V|²ρ_c (hybridization)
T_K ≈ √(ΓU/2) exp(πε_d(ε_d+U)/2ΓU)
Kondo peak at ω=0 for T≪T_K