Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain

Details Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain

1999-06-16

arxiv.org/abs/cond-mat/9906243v1

Eur. Phys. J. B vol. 13, p. 209 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 15 figures included, to appear in Eur. Phys. J. B; Electronic data will be made available on appearance of article

Scientific paper

10.1007/s100510050026

The flow equation method (Wegner 1994) is used as continuous unitary transformation to construct perturbatively effective Hamiltonians. The method is illustrated in detail for dimerized and frustrated antiferromagnetic S=1/2 chains. The effective Hamiltonians conserve the number of elementary excitations which are S=1 magnons for the dimerized chains. The sectors of different number of excitations are clearly separated. Easy-to-use results for the gap, the dispersion and the ground state energies of the chains are provided.

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