Theory of knight shift due to indirect nuclear hyperfine interactions |
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| Institution: | 1. Key Laboratory of Animal Genetics, Breeding and Reproduction in the Plateau Mountainous Region, Ministry of Education, College of Animal Science, Guizhou University, Guiyang 550025, China;2. Dryland Farming Institute, Hebei Academy of Agricultural and Forestry Sciences, Hengshui 053000, China;3. School of Agriculture, Middle Tennessee State University, Murfreesboro, TN 37132, USA;1. Department of Physics and Nanotechnology, SRM University, Kattankulathur, 603203 Tamilnadu, India;2. Institute of Physics, Martin Luther University Halle-Wittenberg, Von Seckendorff Platz 1, 06120 Halle, Germany;3. Division of Advanced Materials Engineering, Chonbuk National University, Jeonju 561756, Republic of Korea;1. Department of Materials Science and Engineering, National Cheng Kung University, Tainan 701, Taiwan;2. Department of Chemical and Materials Engineering, National University of Kaohsiung, Kaohsiung 811, Taiwan;3. Instrument Center, National Cheng Kung University, Tainan 701, Taiwan;4. Hierarchical Green-Energy Materials (Hi-GEM) Research Center, National Cheng Kung University, Tainan 701, Taiwan;1. Gansu Provincial Key Laboratory of Aridland Crop Science, Lanzhou 730070, China;2. College of Agronomy, Gansu Agricultural University, Lanzhou 730070, China;3. College of Bioscience and Technology, Gansu Agricultural University, Lanzhou 730070, China;1. School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia;2. School of Sciences, RMIT University, Melbourne, Victoria 3001, Australia;3. School of Chemical Engineering, University of New South Wales, Sydney, NSW 2052, Australia;4. Institute for Frontier Materials, Deakin University, Geelong, Victoria 3216, Australia;1. Department of Advanced Material Technologies, Faculty of Chemistry, Wrocław University of Science and Technology, Wrocław, Smoluchowskiego 25, 50-372, Poland;2. The Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Cracow, Wybickiego 7, 31-261, Poland;3. Grupa Azoty Zakłady Azotowe Kędzierzyn S.A., Kędzierzyn-Koźle, Mostowa 30 A, 47-220, Poland |
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| Abstract: | We derive a theory of Knight shift (K) in solids including the effects of periodic potential, spin-orbit interaction, magnetic hyperfine interactions and indirect nuclear hyperfine interaction. We use a temperature dependent Green's function technique to evaluate the thermodynamic potential which is then used to obtain a general expresion for the Knight shift. Our formula for K is expressed as a sum of contributions due to conduction electrons and localized electrons of either d- or f-type: Kcond and Kloc. While Kcond is the same as our previous expression for K derived in the absence of localized magnetic moments, Kloc is a new contribution and is due to the hybridization of conduction and localized electron magnetic moments. We also briefly discuss the many-body effects on the different contributions to K. Finally, the importance of the present theory in possible applications to metals, alloys and compounds containing transition and rare-earth elements, and magnetic semiconductors is discussed. |
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