Renormalization by Continuous Unitary Transformations: One-Dimensional Spinless Fermions

Details Renormalization by Continuous Unitary Transformations: One-Dimensional Spinless Fermions Renormalization by Continuous Unitary Transformations: One-Dimensional Spinless Fermions

2002-08-23

arxiv.org/abs/cond-mat/0208446v2

Eur. Phys. J. B 30, 443 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, figures included some revisions concerning the comparison to other methods, references updated

Scientific paper

10.1140/epjb/e2002-00401-9

A renormalization scheme for interacting fermionic systems is presented where the renormalization is carried out in terms of the fermionic degrees of freedom. The scheme is based on continuous unitary transformations of the hamiltonian which stays hermitian throughout the renormalization flow, whereby any frequency dependence is avoided. The approach is illustrated in detail for a model of spinless fermions with nearest neighbour repulsion in one dimension. Even though the fermionic degrees of freedom do not provide an easy starting point in one dimension very good results are obtained which agree well with the exact findings based on Bethe ansatz.

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