Generalized nonlinear sigma model approach to alternating spin chains and ladders

Details Generalized nonlinear sigma model approach to alternating spin chains and ladders Generalized nonlinear sigma model approach to alternating spin chains and ladders

1999-04-13

arxiv.org/abs/cond-mat/9904169v1

Europhys. J. B29, 3226 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 5 encapsulated figures, REVTeX 3.0

Scientific paper

10.1007/s100510050105

We generalize the nonlinear sigma model treatment of quantum spin chains to cases including ferromagnetic bonds. When these bonds are strong enough, the classical ground state is no longer the standard Neel order and we present an extension of the known formalism to deal with this situation. We study the alternating ferromagnetic-antiferromagnetic spin chain introduced by Hida. The smooth crossover between decoupled dimers and the Haldane phase is semi-quantitatively reproduced. We study also a spin ladder with diagonal exchange couplings that interpolates between the gapped phase of the two-leg spin ladder and the Haldane phase. Here again we show that there is good agreement between DMRG data and our analytical results.

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