Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet

Details Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet

1999-04-27

arxiv.org/abs/cond-mat/9904376v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, revtex, 5 figures included via epsfig

Scientific paper

10.1103/PhysRevB.60.R9904

A rare example of a two dimensional Heisenberg model with an exact dimerized ground state is presented. This model, which can be regarded as a variation on the kagome lattice, has several features of interest: it has a highly (but not macroscopically) degenerate ground state; it is closely related to spin chains studied by earlier authors; in particular, it is probably the first genuinely two-dimensional quantum system to exhibit domain-wall-like ``kink'' excitations normally found only in one-dimensional systems. In some limits it decouples into non-interacting chains, purely dynamically and not because of weakening of interchain couplings: indeed, paradoxically, this happens in the limit of strong coupling of the chains.

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