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28 March 2024
 
  » arxiv » cond-mat/9607052

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Ground states with cluster structures in a frustrated Heisenberg chain
K. Takano ; K. Kubo ; H. Sakamoto ;
Date 8 Jul 1996
Subject cond-mat
AbstractWe 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.
Source arXiv, cond-mat/9607052
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