Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature

Details Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature

2002-08-18

arxiv.org/abs/math-ph/0208026v2

Physics

Mathematical Physics

38 pages

Scientific paper

10.1007/s00220-003-0826-4

For the antiferromagnetic, highly anisotropic XZ and XXZ quantum spin chains, we impose periodic boundary conditions on chains with an odd number of sites to force an interface (or kink) into the chain. We prove that the energy of the interface depends on the momentum of the state. This shows that at zero temperature the interface in such chains is not stable. This is in contrast to the ferromagnetic XXZ chain for which the existence of localized interface ground states has been proven for any amount of anisotropy in the Ising-like regime.

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