Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-09-08
Phys. Rev. B 73,014409 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 9 figures, revised version
Scientific paper
10.1103/PhysRevB.73.014409
Motivated by the recent discovery of the spin tube [(CuCl$_2$tachH)$_3$Cl]Cl$_2$, we investigate the properties of a frustrated three-leg spin tube with antiferromagnetic intra-ring and inter-ring couplings. We pay special attention to the evolution of the properties from weak to strong inter-ring coupling and show on the basis of extensive density matrix renormalization group and exact diagonalization calculations that the system undergoes a first-order phase transition between a dimerized gapped phase at weak coupling that can be described by the usual spin-chirality model and a gapless critical phase at strong coupling that can be described by an effective spin-3/2 model. We also show that there is a magnetization plateau at 1/3 in the gapped phase and slightly beyond. The implications for [(CuCl$_2$tachH)$_3$Cl]Cl$_2$ are discussed, with the conclusion that this system behaves essentially as a spin-3/2 chain.
Fouet Jean-Baptiste
Laeuchli Andreas
Mila Frédéric
Noack Reinhard M.
Pilgram Sebastian
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