DMFT maps a correlated lattice problem onto a single impurity in a self-consistent bath, capturing the Mott metal-insulator transition where strong electron–electron interactions localize charge carriers.
Spectral Function A(ω) vs Interaction U
Phase:Metallic (quasiparticle peak present)
DMFT self-consistency: Σ(ω) from Anderson impurity model is fed back into the lattice Green's function G(k,ω) = [ω+μ−ε_k−Σ(ω)]⁻¹ until convergence.
Mott Phase Diagram
MetalCoexistenceMott Insulator
At U < U_c1 (T=0): metal. U > U_c2: insulator. Between: hysteresis & first-order transition. U_c ≈ 2.94W for Bethe lattice (half-filling).