Localization

When particles stop propagating — Mott (interaction-driven) and Anderson (disorder-driven) insulators.

Every topic that illustrates this idea, drawn from across all subjects.

• The Hubbard Model Mott Physics in Correlated Lattices The minimal model of reference for the cuprates — one hopping amplitude and one on-site repulsion — together with its particle–hole symmetry, Green's functions, and the two limits (atomic and non-interacting) that already reveal the Mott insulator.
• Dynamical Mean-Field Theory and the IPT Solver Mott Physics in Correlated Lattices DMFT maps the Hubbard model onto a self-consistent Anderson impurity problem — exact in infinite dimensions — retaining the full frequency dependence of the self-energy that the perturbative limits miss. With Landau Fermi-liquid theory for interpretation and the Iterated Perturbation Theory solver for the impurity, it tracks the metal across to the Mott insulator in one framework.
• The Mott Transition in DMFT: Phase Diagram and V₂O₃ Mott Physics in Correlated Lattices Running the DMFT+IPT loop on the Bethe lattice traces the interaction-driven Mott transition — the three-peak spectral structure, the Fermi-liquid self-energy, the coexistence region with critical interactions U_c1 ≈ 2.54 and U_c2 ≈ 3.27, and a (U,T) phase diagram whose first-order line and critical endpoint reproduce the paramagnetic metal–insulator transition of V₂O₃.