Possible phase transition of anisotropic frustrated Heisenberg model at finite temperature

doi:10.1007/s11467-019-0895-2

Front. Phys.

2019, Vol. 14

Issue (5) : 53601 https://doi.org/10.1007/s11467-019-0895-2

Research article

Possible phase transition of anisotropic frustrated Heisenberg model at finite temperature

Ai-Yuan Hu(

), Lin Wen(

), Guo-Pin Qin, Zhi-Min Wu, Peng Yu, Yu-Ting Cui

College of Physics and Electronic Engineering, Chongqing Normal University, Chongqing 401331, China

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Abstract

The frustrated spin-1/2 J₁_a–J₁_b–J₂ antiferromagnet with anisotropy on the two-dimensional square lattice was investigated, where the parameters J₁_aand J₁_b represent the nearest neighbor exchanges and along the x and y directions, respectively. J₂ represents the next-nearest neighbor exchange. The anisotropy includes the spatial and exchange anisotropies. Using the double-time Green’s function method, the effects of the interplay of exchanges and anisotropy on the possible phase transition of the Néel state and stripe state were discussed. Our results indicated that, in the case of anisotropic parameter 0≤η<1, the Néel and stripe states can exist and have the same critical temperature as long as J₂ = J₁_b/2. Under such parameters, a first-order phase transformation between the Néel and stripe states can occur below the critical point. For J₂ ≠J₁_b/2, our results indicate that the Néel and stripe states can also exist, while their critical temperatures differ. When J₂>J₁_b/2, a first-order phase transformation between the two states may also occur. However, for J₂<J₁_b/2, the Néel state is always more stable than the stripe state.

Keywords frustrated Heisenberg model quantum phase transition magnetic anisotropy antiferromagnetics

Corresponding Author(s): Ai-Yuan Hu,Lin Wen

Issue Date: 17 April 2019

Cite this article:

Ai-Yuan Hu,Lin Wen,Guo-Pin Qin, et al. Possible phase transition of anisotropic frustrated Heisenberg model at finite temperature[J]. Front. Phys. , 2019, 14(5): 53601.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-019-0895-2
https://academic.hep.com.cn/fop/EN/Y2019/V14/I5/53601

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