Magnetic Properties of the Spin-1 Two-Dimensional J_{1}-J_{3} Heisenberg Model on a Triangular Lattice

• Authors: P. Rubin , A. Sherman , M. Schreiber
• Languages of publication: EN

Abstracts

EN

Motivated by the recent experiment in NiGa_{2}S_{4}, the spin-1 Heisenberg model on a triangular lattice with the ferromagnetic nearest- and antiferromagnetic third-nearest-neighbor exchange interactions, J_{1} = -(1 - p)J and J_{3} = pJ, J > 0, is studied in the range of the parameter 0 ≤ p ≤ 1. 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 several phase transitions are observed. At p ≈ 0.2 the ground state is transformed from the ferromagnetic order into a disordered state, which in its turn is changed to an antiferromagnetic long-range ordered state with the incommensurate ordering vector Q' ≈ (1.16, 0) at p ≈0.31. With growing p the ordering vector moves along the line Q'-Q_{c} to the commensurate point Q_{c} = (2π/3, 0), which is reached at p = 1. The final state with the antiferromagnetic long-range order can be conceived as four interpenetrating sublattices with the 120° spin structure on each of them. Obtained results offer a satisfactory explanation for the experimental data in NiGa_{2}S_{4}.

Keywords

EN

75.10.Jm; 67.25.bd

Discipline

• 67.25.bd: Thermodynamic properties
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 1
• Pages: 242-243

Dates

published

2014-07

Contributors

author

P. Rubin

• Institute of Physics, University of Tartu, Riia 142, 51014 Tartu, Estonia

author

A. Sherman

• Institute of Physics, University of Tartu, Riia 142, 51014 Tartu, Estonia

author

M. Schreiber

• Institut für Physik, Technische Universität, D-09107 Chemnitz, Germany

References

• [1] S. Nakatsuji, Y. Nambu, H. Tonomura, O. Sakai, S. Jonas, C. Broholm, H. Tsunetsugu, Y. Qiu, Y. Maeno, Science 309, 1697 (2005), doi: 10.1126/science.1114727
• [2] I.I. Mazin, Phys. Rev. B 76, 140406 (2007), doi: 10.1103/PhysRevB.76.140406
• [3] H. Mori, Prog. Theor. Phys. 34, 399 (1965), doi: 10.1143/PTP.34.399
• [4] A. Sherman, M. Schreiber, Phys. Rev. B 65, 134520 (2002), doi: 10.1103/PhysRevB.65.134520
• [5] P. Rubin, A. Sherman, M. Schreiber, Phys. Lett. A 376, 1062 (2012), doi: 10.1016/j.physleta.2012.01.045

Identifiers

DOI

10.12693/APhysPolA.126.242