Flow equations for the Anderson Hamiltonian

Details Flow equations for the Anderson Hamiltonian Flow equations for the Anderson Hamiltonian

1994-05-12

arxiv.org/abs/cond-mat/9405034v2

Physics

Condensed Matter

20 pages, LaTeX

Scientific paper

10.1088/0305-4470/27/12/030

Using a continuous unitary transformation recently proposed by Wegner \cite{Wegner} together with an approximation that neglects irrelevant contributions, we obtain flow equations for Hamiltonians. These flow equations yield a diagonal or almost diagonal Hamiltonian. As an example we investigate the Anderson Hamiltonian for dilute magnetic alloys. We study the different fixed points of the flow equations and the corresponding relevant, marginal or irrelevant contributions. Our results are consistent with results obtained by a numerical renormalization group method, but our approach is considerably simpler.

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