English

Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets

Strongly Correlated Electrons 2009-06-01 v1

Abstract

We construct and study two frustrated quantum spin-1/2 models on square lattice, which are like the antiferromagnetic J1J_1-J2J_2 model with some additional four-spin exchange interactions. These models admit an exactly solvable case in which the ground state consists of four degenerate columnar-dimer singlet (CDS) configurations. Away from the exact case, we employ bond-operator mean-field theory to investigate the evolution of the ground state by varying the interaction parameters. The mean-field calculation reveals a quantum phase diagram in which the CDS phase undergoes a continuous phase transition to either N\'eel or collinear ordered antiferromagnetic phases.

Keywords

Cite

@article{arxiv.0803.3306,
  title  = {Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets},
  author = {Rakesh Kumar and Brijesh Kumar},
  journal= {arXiv preprint arXiv:0803.3306},
  year   = {2009}
}

Comments

revtex4, 16 eps files; total 10 pages; accepted for publication in Phys. Rev. B

R2 v1 2026-06-21T10:23:46.133Z