Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets

Details Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets

2008-03-23

arxiv.org/abs/0803.3306v1

Phys. Rev. B 77, 144413 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.77.144413

We construct and study two frustrated quantum spin-1/2 models on square lattice, which are like the antiferromagnetic $J_1$-$J_2$ 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.

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