paper

Exact spin-cluster ground states in a mixed diamond chain

arXiv:0811.1320 · doi:10.1103/PhysRevB.80.104410

Abstract

The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio of two exchange parameters controls the strength of frustration. With varying , the Haldane state and several spin cluster states appear as the ground state. A spin cluster state is a tensor product of exact local eigenstates of cluster spins. We prove that a spin cluster state is the ground state in a finite interval of . For S=1, we numerically determine the total phase diagram consisting of five phases.

4 pages with 3 figures; added references, changed Fig. 3

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