The spin-1 two-dimensional J1-J2 Heisenberg antiferromagnet on a triangular lattice

Abstract

The spin-1 Heisenberg antiferromagnet on a triangular lattice with the nearest- and next-nearest-neighbor couplings, $J_1=(1-p)J$ and $J_2=pJ$, $J>0$, is studied in the entire range of the parameter $p$. Mori's projection operator technique is used as a method which retains the rotation symmetry of spin components and does not anticipate any magnetic ordering. For zero temperature four second-order phase transitions are observed. At $p\approx 0.038$ the ground state is transformed from the long-range ordered $120^{\circ }$ spin structure into a state with short-range ordering, which in its turn is changed to a long-range ordered state with the ordering vector ${\mathbf{Q}}^{\prime }=\left(0,-\frac{2\pi }{\sqrt{3}}\right)$ at $p\approx 0.2$. For $p\approx 0.5$ a new transition to a state with a short-range order occurs. This state has a large correlation length which continuously grows with $p$ until the establishment of a long-range order happens at $p\approx 0.65$. In the range $0.5<p<0.96$, the ordering vector is incommensurate. With growing $p$ it moves along the line ${{\mathbf{Q}}^{\prime }-\mathbf{Q}}_1$ to the point ${\mathbf{Q}}_1=\left(0,-\frac{4\pi }{3\sqrt{3}}\right)$ which is reached at $p\approx 0.96$. The obtained state with a long-range order can be conceived as three interpenetrating sublattices with the $120^{\circ }$ spin structure on each of them.

13 pages, 5 figures, accepted for publication in Physics Letters A

References in corpus (3)

• Absence of magnetic ordering in NiGa_2S_4
• Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory
• Interplay between localized and itinerant d electrons in a frustrated metallic antiferromagnet, 2H-AgNiO2

Cited by in corpus (2)

• Magnetic phase diagram of the spin-1 two-dimensional J1-J3 Heisenberg model on a triangular lattice
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations