CLASSICAL INVESTIGATION OF FRUSTRATED FERROMAGNETIC MODEL WITH ADDED DZYALOSHINSKII-MORIYA

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VAHEDI J.; SOLTANI M.; PAYAMARA J.

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Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2011 | Volume:21 | Issue:79 (PHYSICS ISSUE) Page(s): 13-22

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Title

CLASSICAL INVESTIGATION OF FRUSTRATED FERROMAGNETIC MODEL WITH ADDED DZYALOSHINSKII-MORIYA

Author(s)

VAHEDI J. | SOLTANI M. | PAYAMARA J. | Issue Writer Certificate

Keywords

FRUSTRATIONQ2

FERROMAGNETICQ2

SPIN-ORBITQ2

Abstract

Introduction: During the last decades several classical techniques such as the wellknown Luttinger-Tisza method, vertex model, and so on have been introduced to solve classical Hamiltonian exactly. In a very recent work, T. Kaplan have used a kind of cluster methods, simply LK method, which is based on a block of three spins to solve his frustrated model. He claimed that the LK method is not limited to one dimension or to translationally invariant Hamiltonians and extend his approach to determine the phase diagram of Frustrated classical Heisenberg and XY models in d=2 dimensions. Actually, these are our stimulating reasons to take a quit well known Frustrated FERROMAGNETIC Model with Added Dzyaloshinskii-Moriya interaction.Aim: In this work we are going to use LK method to determine the phase diagram of Frustrated FERROMAGNETIC Model with Added Dzyaloshinskii-Moriya exactly.Material and Method: LK method is a classical approach which is able to minimize the three cluster of spins energy and relate it to whole system energy minimization condition and solve the problem rigorously.Results: Disappearing the spiral phase in the presence of Dzyaloshinskii-Moriya interaction was the most interesting result which have been achieved.Conclusion: We have tried to find the phases of our model in co-planar and noncoplanar states by using Kaplan classical approach. In the either case the presence of anisotropic interaction causes to spontaneous disappearing of FERROMAGNETIC phase. With the help of a mapping we have converted our model to anisotropic frustrated FERROMAGNETIC model and could capture three FERROMAGNETIC, spin-liquid and incommensurate phases.

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APA: Copy

VAHEDI, J., SOLTANI, M., & PAYAMARA, J.. (2011). CLASSICAL INVESTIGATION OF FRUSTRATED FERROMAGNETIC MODEL WITH ADDED DZYALOSHINSKII-MORIYA. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 21(79 (PHYSICS ISSUE)), 13-22. SID. https://sid.ir/paper/70454/en

Vancouver: Copy

VAHEDI J., SOLTANI M., PAYAMARA J.. CLASSICAL INVESTIGATION OF FRUSTRATED FERROMAGNETIC MODEL WITH ADDED DZYALOSHINSKII-MORIYA. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2011;21(79 (PHYSICS ISSUE)):13-22. Available from: https://sid.ir/paper/70454/en

IEEE: Copy

J. VAHEDI, M. SOLTANI, and J. PAYAMARA, “CLASSICAL INVESTIGATION OF FRUSTRATED FERROMAGNETIC MODEL WITH ADDED DZYALOSHINSKII-MORIYA,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 21, no. 79 (PHYSICS ISSUE), pp. 13–22, 2011, [Online]. Available: https://sid.ir/paper/70454/en

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