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Abstract
We present an overview of the microscopic theory of the Dzyaloshinskii–Moriya (DM) coupling in strongly correlated 3d compounds. Most attention in the paper centers around the derivation of the Dzyaloshinskii vector, its value, orientation, and sense (sign) under different types of the (super)exchange interaction and crystal field. We consider both the Moriya mechanism of the antisymmetric interaction and novel contributions, in particular, that of spin–orbital coupling on the intermediate ligand ions. We have predicted a novel magnetic phenomenon, weak ferrimagnetism in mixed weak ferromagnets with competing signs of Dzyaloshinskii vectors. We revisit a problem of the DM coupling for a single bond in cuprates specifying the local spin–orbital contributions to the Dzyaloshinskii vector focusing on the oxygen term. We predict a novel puzzling effect of the on-site staggered spin polarization to be a result of the on-site spin–orbital coupling and the cation-ligand spin density transfer. The intermediate ligand nuclear magnetic resonance (NMR) measurements are shown to be an effective tool to inspect the effects of the DM coupling in an external magnetic field. We predict the effect of a strong oxygen-weak antiferromagnetism in edge-shared CuO 2 chains due to uncompensated oxygen Dzyaloshinskii vectors. We revisit the effects of symmetric spin anisotropy directly induced by the DM coupling. A critical analysis will be given of different approaches to exchange-relativistic coupling based on the cluster and the DFT (density functional theory) based calculations. Theoretical results are applied to different classes of 3d compounds from conventional weak ferromagnets ( α -Fe 2 O 3 , FeBO 3 , FeF 3 , RFeO 3 , RCrO 3 , ...) to unconventional systems such as weak ferrimagnets (e.g., RFe 1 - x Cr x O 3 ), helimagnets (e.g., CsCuCl 3 ), and parent cuprates (La 2 CuO 4 , ...).
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Vela S, Deumal M, Turnbull MM, Novoa JJ. A theoretical analysis of the magnetic properties of the low dimensional bis(2-chloropyrazine)dichlorocopper(II) molecule-based magnet. Polyhedron 2013. [DOI: 10.1016/j.poly.2013.03.044] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Manson JL, Lapidus SH, Stephens PW, Peterson PK, Carreiro KE, Southerland HI, Lancaster T, Blundell SJ, Steele AJ, Goddard PA, Pratt FL, Singleton J, Kohama Y, McDonald RD, Sesto RED, Smith NA, Bendix J, Zvyagin SA, Kang J, Lee C, Whangbo MH, Zapf VS, Plonczak A. Structural, Electronic, and Magnetic Properties of Quasi-1D Quantum Magnets [Ni(HF2)(pyz)2]X (pyz = pyrazine; X = PF6–, SbF6–) Exhibiting Ni-FHF-Ni and Ni-pyz-Ni Spin Interactions. Inorg Chem 2011; 50:5990-6009. [DOI: 10.1021/ic102532h] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Affiliation(s)
- Jamie L. Manson
- Department of Chemistry and Biochemistry, Eastern Washington University, Cheney, Washington 99004, United States
| | - Saul H. Lapidus
- Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794, United States
| | - Peter W. Stephens
- Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794, United States
| | - Peter K. Peterson
- Department of Chemistry and Biochemistry, Eastern Washington University, Cheney, Washington 99004, United States
| | - Kimberly E. Carreiro
- Department of Chemistry and Biochemistry, Eastern Washington University, Cheney, Washington 99004, United States
| | - Heather I. Southerland
- Department of Chemistry and Biochemistry, Eastern Washington University, Cheney, Washington 99004, United States
| | - Tom Lancaster
- Clarendon Laboratory, Department of Physics, Oxford University, Oxford OX1 3PU, U.K
| | - Stephen J. Blundell
- Clarendon Laboratory, Department of Physics, Oxford University, Oxford OX1 3PU, U.K
| | - Andrew J. Steele
- Clarendon Laboratory, Department of Physics, Oxford University, Oxford OX1 3PU, U.K
| | - Paul A. Goddard
- Clarendon Laboratory, Department of Physics, Oxford University, Oxford OX1 3PU, U.K
| | - Francis L. Pratt
- ISIS Pulsed-Muon Facility, Rutherford-Appleton Laboratory, Chilton, Oxfordshire OX11 0QX, U.K
| | | | | | | | | | | | - Jesper Bendix
- Department of Chemistry, University of Copenhagen, Copenhagen DK-2100, Denmark
| | - Sergei A. Zvyagin
- Hochfeld-Magnetlabor Dresden (HLD), Forschungszentrum Dresden-Rossendorf (FZD), D-01314 Dresden, Germany
| | - Jinhee Kang
- Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695, United States
| | - Changhoon Lee
- Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695, United States
| | - Myung-Hwan Whangbo
- Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695, United States
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Higa T, Moriya M, Shimazaki Y, Yajima T, Tani F, Karasawa S, Nakano M, Naruta Y, Yamauchi O. Synthesis and characterization of imidazolate-bridged polynuclear copper complexes. Inorganica Chim Acta 2007. [DOI: 10.1016/j.ica.2007.03.058] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Zvyagin SA, Kolezhuk AK, Krzystek J, Feyerherm R. Electron spin resonance in sine-gordon spin chains in the perturbative spinon regime. PHYSICAL REVIEW LETTERS 2005; 95:017207. [PMID: 16090654 DOI: 10.1103/physrevlett.95.017207] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2005] [Indexed: 05/03/2023]
Abstract
We report the low-temperature multifrequency ESR studies of copper pyrimidine dinitrate, a spin-1/2 antiferromagnetic chain with alternating g tensor and the Dzyaloshinskii-Moriya interaction, allowing us to test a new theoretical concept proposed recently by Oshikawa and Affleck [Phys. Rev. Lett. 82, 5136 (1999)]. Their theory, based on bosonization and self-energy formalism, can be applied for precise calculation of ESR parameters of S=1/2 antiferromagnetic chains in the perturbative spinon regime. Excellent quantitative agreement between the theoretical predictions and experiment is obtained.
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Affiliation(s)
- S A Zvyagin
- Hochfeld-Magnetlabor Dresden, Forschungszentrum Rossendorf, 01328 Dresden, Germany
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