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Journal of Physics A Mathematical and General

Ground-state energy corrections for antiferromagnetic s= 1/2 chains with short-range interaction

V. I. Inozemtsev, B -D Dorfel

Published Oct 7, 1993• 5 citations
Publisher

Abstract

The leading finite-size effects in the description of the antiferromagnetic ground state of 1D quantum s= 1/2 chains with non-nearest-neighbour short-range exchange are calculated in the framework of the asymptotic Bethe-ansatz method under a few general assumptions on the properties of scattering phases and energies of magnons.
DOI
10.1088/0305-4470/26/19/005

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The ground state of chains with antiferromagnetic XY interactions is examined by direct diagonalisation of the Hamiltonian. Attention is focussed on chains with nearest and next-nearest neighbour interactions. It is found that results for finite chains can be readily extrapolated to infinite chains. The dimerised ground state corresponds to a maximum in the energy per spin with respect to the next-nearest neighbour interaction parameter. An alternate normalisation scheme provides additional insight into how the ground state energy depends on the interaction parameters.
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