Anderson model

The Anderson Model is a Hamiltonian model that is often used to describe Heavy Fermion systems. The model contains a narrow resonance between a magnetic impurity state and a conduction electron state. The model also contains a short range U repulsion term as found in the Hubbard model between localized electrons. For a single impurity, the Hamiltonian takes the form

where the f operator corresponds to an impurity, and c corresponds to a conduction electron, and σ labels the spin.

In heavy-fermion systems, we find we have a lattice of impurities. The relevant model is then the periodic Anderson model.

Bibliography

P.W. Anderson, Phys. Rev. 124 (1961), p. 41