The J_1-J_2 antiferromagnet with Dzyaloshinskii-Moriya interaction on the square lattice: An exact diagonalization study

Abstract

We examine the influence of an anisotropic interaction term of Dzyaloshinskii-Moriya (DM) type on the groundstate ordering of the J_1-J_2 spin-1/2-Heisenberg antiferromagnet on the square lattice. For the DM term we consider several symmetries corresponding to different crystal structures. For the pure J_1-J_2 model there are strong indications for a quantum spin liquid in the region of 0.4 < J_2/J_1 < 0.65. We find that a DM interaction influences the breakdown of the conventional antiferromagnetic order by i) shifting the spin liquid region, ii) changing the isotropic character of the groundstate towards anisotropic correlations and iii) creating for certain symmetries a net ferromagnetic moment.

arXiv comment7 pages, RevTeX, 6 ps-figures, to appear in J. Phys.: Cond. Mat

References in corpus (1)

• Quantum Phase Transition in the Frustrated Heisenberg Antiferromagnet

Cited by in corpus (4)

• Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction
• Hierarchy of magnon entanglement in antiferromagnets
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Quantum phase transition in the Plaquette lattice with anisotropic spin exchange