Abstract
The symmetric antiferromagnetic Heisenberg model with multicolumn representations on the two-dimensional square lattice is investigated by quantum Monte Carlo simulations. For the representation of a Young diagram with two columns, we confirm that a valence-bond solid (VBS) order appears as soon as the Néel order disappears at , indicating no intermediate phase. In the case of the representation with three columns, there is no evidence for either the Néel or the VBS ordering for . This is actually consistent with the large- theory, which predicts that the VBS state immediately follows the Néel state, because the expected spontaneous order is too weak to be detected.
- Received 21 April 2015
- Revised 7 September 2015
DOI:https://doi.org/10.1103/PhysRevB.92.134404
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