Exact ground states for coupled spin trimers

Details Exact ground states for coupled spin trimers Exact ground states for coupled spin trimers

2010-06-22

arxiv.org/abs/1006.4299v2

J. Phys. A: Math. Theor. 43 (2010) 405205

Physics

Condensed Matter

Strongly Correlated Electrons

11 figures

Scientific paper

We consider a class of geometrically frustrated Heisenberg spin systems which admit exact ground states. The systems consist of suitably coupled antiferromagnetic spin trimers with integer spin quantum numbers $s$ and their ground state $\Phi$ will be the product state of the local singlet ground states of the trimers. We provide linear equations for the inter-trimer coupling constants which are equivalent to $\Phi$ being an eigenstate of the corresponding Heisenberg Hamiltonian and sufficient conditions for $\Phi$ being a ground state. The classical case $s\to\infty$ can be completely analyzed. For the quantum case we consider a couple of examples, where the critical values of the inter-trimer couplings are numerically determined. These examples include chains of corner sharing tetrahedra as well as certain spin tubes. $\Phi$ is proven to be gapped in the case of trimer chains. This follows from a more general theorem on quantum chains with product ground states.

Affiliated with

Also associated with

No associations

Rating

Exact ground states for coupled spin trimers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact ground states for coupled spin trimers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact ground states for coupled spin trimers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108391