The spin-1 ladder : A bosonization study

Details The spin-1 ladder : A bosonization study The spin-1 ladder : A bosonization study

1999-08-16

arxiv.org/abs/cond-mat/9908224v1

Phys.Rev. B61 (2000) 12134

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 4 figures

Scientific paper

10.1103/PhysRevB.61.12134

We construct a field-theoretic description of two coupled spin-1 Heisenberg chains, starting with the known representation of a single spin-1 chain in terms of Majorana fermions (or Ising models). After reexamining the bosonization rules for two Ising models, taking particular care of order and disorder operators, we obtain a bosonic description of the spin-1 ladder. From renormalization-group and mean-field arguments, we conclude that, for a small interchain coupling, the spin-1 ladder is approximately described by three decoupled, two-frequency sine-Gordon models. We then predict that, starting with decoupled chains, the spin gap decreases linearly with interchain coupling, both in the ferromagnetic and antiferromagnetic directions. Finally, we discuss the possibility of an incommensurate phase in the spin-1 zigzag chain.

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