Investigation of possible phase transition of the frustrated spin-1/2 J1-J2-J3 model on the square lattice
The frustrated spin-1/2 J 1 - J 2 - J 3 antiferromagnet with exchange anisotropy on the two-dimensional square lattice is investigated. The exchange anisotropy is presented by η with 0 ≤ η < 1. The effects of the J 1 , J 2 , J 3 and anisotropy on the possible phase transition of the Néel state...
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| Published in | Scientific reports Vol. 7; no. 1 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
05.09.2017
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| Abstract | The frustrated spin-1/2
J
1
-
J
2
-
J
3
antiferromagnet with exchange anisotropy on the two-dimensional square lattice is investigated. The exchange anisotropy is presented by
η
with 0 ≤
η
< 1. The effects of the
J
1
,
J
2
,
J
3
and anisotropy on the possible phase transition of the Néel state and collinear state are studied comprehensively. Our results indicate that for
J
3
> 0 there are upper limits
J
3
c
and
η
c
values. When 0 <
J
3
≤
J
3
c
and 0 ≤
η
≤
η
c
, the Néel and collinear states have the same order-disorder transition point at
J
2
=
J
1
/2. Nevertheless, when the
J
3
and
η
values beyond the upper limits, it is a paramagnetic phase at
J
2
=
J
1
/2. For
J
3
< 0, in the case of 0 ≤
η
< 1, the two states always have the same critical temperature as long as
J
2
=
J
1
/2. Therefore, for
J
2
=
J
1
/2, under such parameters, a first-order phase transition between the two states for these two cases below the critical temperatures may occur. When
J
2
≠
J
1
/2, the Néel and collinear states may also exist, while they have different critical temperatures. When
J
2
>
J
1
/2, a first-order phase transition between the two states may also occur. However, for
J
2
<
J
1
/2, the Néel state is always more stable than the collinear state. |
|---|---|
| AbstractList | The frustrated spin-1/2
J
1
-
J
2
-
J
3
antiferromagnet with exchange anisotropy on the two-dimensional square lattice is investigated. The exchange anisotropy is presented by
η
with 0 ≤
η
< 1. The effects of the
J
1
,
J
2
,
J
3
and anisotropy on the possible phase transition of the Néel state and collinear state are studied comprehensively. Our results indicate that for
J
3
> 0 there are upper limits
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\begin{document}$${J}_{3}^{c}$$\end{document}
J
3
c
and
η
c
values. When 0 <
J
3
≤
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\begin{document}$${J}_{3}^{c}$$\end{document}
J
3
c
and 0 ≤
η
≤
η
c
, the Néel and collinear states have the same order-disorder transition point at
J
2
=
J
1
/2. Nevertheless, when the
J
3
and
η
values beyond the upper limits, it is a paramagnetic phase at
J
2
=
J
1
/2. For
J
3
< 0, in the case of 0 ≤
η
< 1, the two states always have the same critical temperature as long as
J
2
=
J
1
/2. Therefore, for
J
2
=
J
1
/2, under such parameters, a first-order phase transition between the two states for these two cases below the critical temperatures may occur. When
J
2
≠
J
1
/2, the Néel and collinear states may also exist, while they have different critical temperatures. When
J
2
>
J
1
/2, a first-order phase transition between the two states may also occur. However, for
J
2
<
J
1
/2, the Néel state is always more stable than the collinear state. The frustrated spin-1/2 J 1 - J 2 - J 3 antiferromagnet with exchange anisotropy on the two-dimensional square lattice is investigated. The exchange anisotropy is presented by η with 0 ≤ η < 1. The effects of the J 1 , J 2 , J 3 and anisotropy on the possible phase transition of the Néel state and collinear state are studied comprehensively. Our results indicate that for J 3 > 0 there are upper limits J 3 c and η c values. When 0 < J 3 ≤ J 3 c and 0 ≤ η ≤ η c , the Néel and collinear states have the same order-disorder transition point at J 2 = J 1 /2. Nevertheless, when the J 3 and η values beyond the upper limits, it is a paramagnetic phase at J 2 = J 1 /2. For J 3 < 0, in the case of 0 ≤ η < 1, the two states always have the same critical temperature as long as J 2 = J 1 /2. Therefore, for J 2 = J 1 /2, under such parameters, a first-order phase transition between the two states for these two cases below the critical temperatures may occur. When J 2 ≠ J 1 /2, the Néel and collinear states may also exist, while they have different critical temperatures. When J 2 > J 1 /2, a first-order phase transition between the two states may also occur. However, for J 2 < J 1 /2, the Néel state is always more stable than the collinear state. |
| Author | Hu, Ai-Yuan Wang, Huai-Yu |
| Author_xml | – sequence: 1 givenname: Ai-Yuan surname: Hu fullname: Hu, Ai-Yuan organization: College of Physics and Electronic Engineering, Chongqing Normal University – sequence: 2 givenname: Huai-Yu surname: Wang fullname: Wang, Huai-Yu email: wanghuaiyu@mail.tsinghua.edu.cn organization: Department of Physics, Tsinghua University |
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| Snippet | The frustrated spin-1/2
J
1
-
J
2
-
J
3
antiferromagnet with exchange anisotropy on the two-dimensional square lattice is investigated. The exchange anisotropy... |
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| Title | Investigation of possible phase transition of the frustrated spin-1/2 J1-J2-J3 model on the square lattice |
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