Renormalization approach to many-particle systems

Details Renormalization approach to many-particle systems Renormalization approach to many-particle systems

2002-08-19

arxiv.org/abs/cond-mat/0208351v2

Phys. Rev. B 66, 235115 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, final version, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.66.235115

This paper presents a renormalization approach to many-particle systems. By starting from a bare Hamiltonian ${\cal H}= {\cal H}_0 +{\cal H}_1$ with an unperturbed part ${\cal H}_0$ and a perturbation ${\cal H}_1$,we define an effective Hamiltonian which has a band-diagonal shape with respect to the eigenbasis of ${\cal H}_0$. This means that all transition matrix elements are suppressed which have energy differences larger than a given cutoff $\lambda$ that is smaller than the cutoff $\Lambda$ of the original Hamiltonian. This property resembles a recent flow equation approach on the basis of continuous unitary transformations. For demonstration of the method we discuss an exact solvable model, as well as the Anderson-lattice model where the well-known quasiparticle behavior of heavy fermions is derived.

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