Ground states with cluster structures in a frustrated Heisenberg chain

Details Ground states with cluster structures in a frustrated Heisenberg chain Ground states with cluster structures in a frustrated Heisenberg chain

1996-07-08

arxiv.org/abs/cond-mat/9607052v1

Physics

Condensed Matter

4 pages, uses revtex.sty, 2 figures available on request from takano@toyota-ti.ac.jp, to be published in J. Phys.: Cond. Matt

Scientific paper

10.1088/0953-8984/8/35/009

We examine the ground state of a Heisenberg model with arbitrary spin S on a one-dimensional lattice composed of diamond-shaped units. A unit includes two types of antiferromagnetic exchange interactions which frustrate each other. The system undergoes phase changes when the ratio $\lambda$ between the exchange parameters varies. In some phases, strong frustration leads to larger local structures or clusters of spins than a dimer. We prove for arbitrary S that there exists a phase with four-spin cluster states, which was previously found numerically for a special value of $\lambda$ in the S=1/2 case. For S=1/2 we show that there are three ground state phases and determine their boundaries.

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