The \(120^{0}\) ordered phase of the spin-1 \(J_{1} - J_{2}\) antiferromagnetic Heisenbeberg model on a triangular lattice

Van Hinh Nguyen; THANH NGA PHAM THI; THANG NGUYEN TOAN

doi:10.15625/0868-3166/17901

The \(120^{0}\) ordered phase of the spin-1 \(J_{1} - J_{2}\) antiferromagnetic Heisenbeberg model on a triangular lattice

Nguyen Van Hinh, Pham Thi Thanh Nga, Nguyen Toan Thang

Author affiliations

Authors

Nguyen Van Hinh Hanoi University of Industry, 298 Cau Dien, Bac Tu Liem, Hanoi, Vietnam https://orcid.org/0000-0002-7662-0068
Pham Thi Thanh Nga Faculty of Electrical and Electronics Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam
Nguyen Toan Thang Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ba Dinh, Hanoi 11108, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/17901

Keywords:

strongly correlated electron systems, antiferromagnetics, Heisenberg model, triangular lattice

Abstract

We study the effect of quantum and thermal fluctuations on the excitation energy spectrum and sublattice magnetization of the 120⁰ordered phase of the spin-1 antiferromagnetic Heisenberg model on a triangular lattice with nearest J₁and next-nearest-neighbor J₂exchange interactions. The auxiliary fermionic representation of the spin operators within a functional integral formalism with an imaginary Lagrange multiplier is employed to retain an exact constraint of single particle occupancy. Representing the classical ground state by Luttinger-Tisza ordering vector Q one may consider the fluctuation contributions to the free energy of the system in the entire range of the coupling parameters. We derived the magnon spectrum in one-loop approximation and the magnetization taking into account thermal fluctuations. The obtained results are compared with the result of the linear spin-wave approximation and experimental findings on compound NiGa₂S₄.

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Published

10-05-2023

How to Cite

[1]

V. H. Nguyen, T. N. PHAM THI and T. NGUYEN TOAN, The \(120^{0}\) ordered phase of the spin-1 \(J_{1} - J_{2}\) antiferromagnetic Heisenbeberg model on a triangular lattice, Comm. Phys. 33 (2023) 213. DOI: https://doi.org/10.15625/0868-3166/17901.

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Vol. 33 No. 2 (2023)

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Papers

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