Cupric chloride<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>CuCl</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>as an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>chain multiferroic

Seki, Shu; Kurumaji, Takashi; Ishiwata, Shintaro; Matsui, Hiroyuki; Murakawa, H.; Tokunaga, Yusuke; Kaneko, Yoshio; Hasegawa, Tatsuo; Tokura, Y.

doi:10.1103/physrevb.82.064424

Cited by 77 publications

(83 citation statements)

References 41 publications

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“…This mechanism, which is known as a KNB mechanism, 6 is realized in several one-dimensional magnetic materials. [11][12][13][14][15][16][17][18][19][20][21] In our model, however, we have to impose a restriction in order to preserve integrability. While the standard model to describe the MEE in one-dimensional magnetic materials with the KNB mechanism is the J 1 -J 2 chain, Eq.…”

Section: Discussionmentioning

confidence: 99%

“…[11][12][13][14] In turn, the discovery of the deep relationship between magnetic structure and ferroelectricity in several spin-chain materials stimulated further research of multiferroics and paved a way between the physics of multiferroics and quantum spin systems. The simplest system exhibiting the MEE by means of KNB mechanism, considered so far, is the S = 1/2 J 1 -J 2 -spin chain, which is believed to be a more or less adequate model for several multiferroic materials such as LiCu 2 O 2 , [15][16][17] LiCuVO 4 , [18][19][20] CuCl 2 , 21 and others. The expression for the electric polarization becomes particularly simple in the case of a one-dimensional linear chain, say, in the x direction.…”

Section: Introductionmentioning

confidence: 99%

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Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

2013

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Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with DzyaloshinskiiMoriya interaction Brockmann, M.; Kluemper, A.; Ohanyan, V. Published in:Physical Review B DOI:10.1103/PhysRevB.87.054407 Link to publicationCitation for published version (APA): Brockmann, M., Kluemper, A., & Ohanyan, V. (2013). Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction. Physical Review B, 87(5), 054407. https://doi.org/10.1103/PhysRevB.87.054407 General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. We consider a simple integrable model of a spin chain exhibiting the magnetoelectric effect (MEE). Starting from the periodic S = 1/2 XXZ chain with Dzyaloshinskii-Moriya terms, which we consider as a local electric polarization in the spirit of the Katsura-Nagaosa-Baladsky (KNB) mechanism, we perform the mapping onto the conventional XXZ chain with twisted boundary conditions. Using the techniques of quantum transfer matrix and nonlinear integral equations we obtain the magnetization, electric polarization, and magnetoelectric tensor as functions of magnetic and electric field for arbitrary temperatures. We investigate these dependencies as well as the thermal behavior of the above-mentioned physical quantities, especially in the low-temperature regime. We found several regimes of polarization. Adjusting the magnetic field one can switch the system from one regime to another. The features of the critical properties connected with the MEE are also illustrated.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

2013

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“…It is found that, for example, in TbMnO 3 [24] and MnWO 4 [25] two different order parameters condense successively, whereas in CuCl 2 [21,28] they condense simultaneously. These order parameters transform according to different irreducible representations of the crystal space group.…”

Section: Introductionmentioning

confidence: 99%

Interpretation of magnetoelectric phase states using the praphase concept and exchange symmetry

Ter-Oganessian¹,

Sakhnenko²

2013

J. Phys.: Condens. Matter

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Abstract. The majority of magnetoelectric crystals show complex temperaturemagnetic field or temperature-pressure phase diagrams with alternating antiferromagnetic incommensurate, magnetoelectric, and commensurate phases. Such phase diagrams occur as a result of successive magnetic instabilities with respect to different order parameters, which usually transform according to different irreducible representations (IR) of the space group of the crystal. Therefore, in order to build a phenomenological theory of phase transitions in such magnetoelectrics one has to employ several order parameters and assume the proximity of various instabilities on the thermodynamic path. In this work we analyze the magnetoelectrics MnWO 4 , CuO, NaFeSi 2 O 6 , NaFeGe 2 O 6 , Cu 3 Nb 2 O 8 , α-CaCr 2 O 4 , and FeTe 2 O 5 Br using the praphase concept and the symmetry of the exchange Hamiltonian. We find that in all the considered cases the appearing magnetic structures are described by IR's entering into a single exchange multiplet, whereas in the cases of MnWO 4 and CuO by a single IR of the space group of the praphase structure. Therefore, one can interpret the complex phase diagrams of magnetoelectrics as induced by a single IR either of the praphase or of the symmetry group of the exchange Hamiltonian. Detailed temperature-magnetic field phase diagrams of MnWO 4 and CuO for certain field directions are obtained and the magnetic structures of the field-induced phases are determined.

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“…4 Not only oxide compounds but also a halide CuCl 2 with quasi-one-dimensional Cu-Cl network were reported to undergo a ferroelectric transition. 38) In frustrated spin systems, non-trivial types of magnetic order such as a helix, spin density wave, cone, and fan often emerge. In any case, all the major exchange interactions between adjacent magnetic moments cannot be minimized in energy.…”

Section: Frustrated Spin Systems As a Source Of Ferroelectricitymentioning

confidence: 99%

Spin-Driven Ferroelectricity and Magneto-Electric Effects in Frustrated Magnetic Systems

2011

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The interplay between magnetism and electricity in matter has become a central issue of condensed-matter physics. This review focuses on the ferroelectricity induced by magnetic order mostly in frustrated magnets, which is nowadays referred to as magneto-electric (ME) multiferroic, or often only as multiferroic. Some distinct types of microscopic origins relevant to the spin-driven ferroelectricity are discussed in detail. Then one sees that the frustration-based spindriven ferroelectrics can exhibit nonlinear and giant ME responses of phase-transition type and of domain-control type, in contrast to the conventional magnetoelectrics hosting linear ME effects.

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Cupric chlorideCuCl2as anS=12chain multiferroic

Cited by 77 publications

References 41 publications

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

Interpretation of magnetoelectric phase states using the praphase concept and exchange symmetry

Spin-Driven Ferroelectricity and Magneto-Electric Effects in Frustrated Magnetic Systems

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