Renormalization by continuous unitary transformations: one-dimensional spinless fermions |
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| Authors: | CP Heidbrink GS Uhrig |
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| Institution: | Institut für Theoretische Physik, Universit?t zu K?ln, Zülpicher Strasse 77, 50937 K?ln, Germany, DE
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| Abstract: | 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 favorable results are obtained which agree well with the
exact findings based on Bethe ansatz.
Received 21 August 2002 / Received in final form 29 October 2002 Published online 31 December 2002 |
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| Keywords: | PACS 05 10 Cc Renormalization group methods – 71 10 Pm Fermions in reduced dimensions – 71 10 Ay Fermi-liquid theory and other phenomenological models |
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