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

Abstract

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.

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

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