English

Phase diagram of the Heisenberg antiferromagnet with four-spin interactions

Strongly Correlated Electrons 2015-05-13 v2 Statistical Mechanics

Abstract

We study the quantum phase diagram of the Heisenberg planar antiferromagnet with a subset of four-spin ring exchange interactions, using the recently proposed heirarchical mean-field approach. By identifying relevant degrees of freedom, we are able to use a single variational anzatz to map the entire phase diagram of the model and uncover the nature of its various phases. It is shown that there exists a transition between a N\'eel state and a quantum paramagnetic phase, characterized by broken translational invariance. The non-magnetic phase preserves the lattice rotational symmetry, and has a correlated plaquette nature. Our results also suggest that this phase transition can be properly described within the Landau paradigm.

Keywords

Cite

@article{arxiv.0903.1630,
  title  = {Phase diagram of the Heisenberg antiferromagnet with four-spin interactions},
  author = {L. Isaev and G. Ortiz and J. Dukelsky},
  journal= {arXiv preprint arXiv:0903.1630},
  year   = {2015}
}

Comments

LaTeX 2e, 7 pages, 8 figures