Magnetic orders of J1-J2 antiferromagnetic Heisenberg model in Dzyaloshinskii-Moriya interaction

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MASOUDI F.; Mosadeq H.

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Journal: Iranian Journal of Physics Research Year:2017 | Volume:17 | Issue:4 Page(s): 585-594

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Title

Magnetic orders of J1-J2 antiferromagnetic Heisenberg model in Dzyaloshinskii-Moriya interaction

Author(s)

MASOUDI F. | Mosadeq H. | Issue Writer Certificate

Keywords

Dzyaloshinskii-Moriya (DM) interactionQ1

antiferromagnetic Heisenberg modelQ1

Abstract

Motivated by recent experiments that detects Dzyaloshinskii-Moriya (DM) interaction in Bi3Mn4O12 (NO3), we study the effects of DM interaction on magnetic orders of J1-J2 antiferromagnetic Heisenberg model. First, we find the classical phase diagram of the model using Luttinger-Tisza approximation. In this approximation, the classical phase diagram has two phases. For 2 J2  (1 D ) / 6, the model has canted Neel and DM interaction cants the spins of one on the subluttices. The ground state of model is classically degenerate for 2 J2  (1 D ) / 6, including infinit numbers of vorticity vectors that are able to minimize the model. This phase is important because of the probability of the existence of quantum spin liquid in this region. To investigate the effect of quantum fluctuation on the stability of the classical phase diagram, linear spin wave theory of Holstein-Primakoff is used. The results show that in the classical degeneracy regime, the quantum fluctuations for 2 J2  (1 D ) / 2 cause spiral order in this region. The ground state of model remains disorder for 2 2 (1 D ) / 6  J2  (1 D ) / 2, and this region is a good place for finding quantum spin liquid.

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APA: Copy

MASOUDI, F., & Mosadeq, H.. (2017). Magnetic orders of J1-J2 antiferromagnetic Heisenberg model in Dzyaloshinskii-Moriya interaction. IRANIAN JOURNAL OF PHYSICS RESEARCH, 17(4 ), 585-594. SID. https://sid.ir/paper/2043/en

Vancouver: Copy

MASOUDI F., Mosadeq H.. Magnetic orders of J1-J2 antiferromagnetic Heisenberg model in Dzyaloshinskii-Moriya interaction. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2017;17(4 ):585-594. Available from: https://sid.ir/paper/2043/en

IEEE: Copy

F. MASOUDI, and H. Mosadeq, “Magnetic orders of J1-J2 antiferromagnetic Heisenberg model in Dzyaloshinskii-Moriya interaction,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 17, no. 4 , pp. 585–594, 2017, [Online]. Available: https://sid.ir/paper/2043/en

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