Exact ground states with deconfined gapless excitations for the three-leg spin-1/2 tube.

@article{Lajk2012ExactGS,
title={Exact ground states with deconfined gapless excitations for the three-leg spin-1/2 tube.},
author={Mikl{\'o}s Lajk{\'o} and Philippe Sindzingre and K. Penc},
journal={Physical review letters},
year={2012},
volume={108 1},
pages={
017205
}
}

We consider a spin-1/2 tube (a three-leg ladder with periodic boundary conditions) with a Hamiltonian given by two projection operators-one on the triangles and the other on the square plaquettes on the side of the tube-that can be written in terms of Heisenberg and four-spin ring exchange interactions. We identify 3 phases: (i) for strongly antiferromagnetic exchange on the triangles, an exact ground state with a gapped spectrum can be given as an alternation of spin and chirality singlet… Expand

A one-dimensional model of coupled spin-1/2 spins and pseudospin-1/2 orbitals with nearest-neighbor interaction is rigorously shown to exhibit spin-orbital separation by means of a non-local unitary… Expand

When a theoretical model is realized in nature, small perturbation terms play important roles in the selection of the ground state in geometrically frustrated magnets. In case of a triangular spin… Expand

We prove that in short range Klein spin models on general lattices, all ground states are of the dimer type- each fundamental plaquette must host at least one singlet. These ground states are known… Expand

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Journal of Physics A: Mathematical and Theoretical 43

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