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Residual resistivity dipoles in electromigration
Institution:1. Department of Biomedical Engineering, Emory University School of Medicine and Georgia Institute of Technology, Atlanta, GA 30322, USA;2. Department of Molecular Biophysics and Biochemistry, Yale University, New Haven, CT 06510, USA;3. Weill Cornell Medicine, New York, NY 10021, USA;4. Department of Microbiology, University of Chicago, Chicago, IL 60637, USA;5. Department of Biological Chemistry, University of Michigan, Ann Arbor, MI 48109, USA;6. Neuroscience Graduate Program, Vollum Institute, Oregon Health & Science University, Portland, OR 97239, USA;7. Life Sciences Institute and Department of Chemistry, University of Michigan, Ann Arbor, MI 48109, USA;8. Department of Community Health Systems, School of Nursing, University of California, San Francisco, 2 Koret Way, N505, San Francisco, CA 94143, USA;9. Department of Pathology, Duke University School of Medicine, Durham, NC 27708, USA;10. Laboratory of Neurogenetics and Behavior, The Rockefeller University, New York, NY 10065, USA;11. Kavli Neural Systems Institute, New York, NY 10065, USA;12. Biology Department, Columbia University, New York, NY 10027, USA;1. Department of Orthopedics, Affiliated Zhongda Hospital of Southeast University, Nanjing, Jiangsu, 210009, PR China;2. Department of Orthopedics, First Affiliated Hospital, Jinan University, Guangzhou, 510632, PR China;3. Clinical Biomechanics and Biomimetic Materials Research Center, Guangdong-Hong Kong-Macao Greater Bay Area, Jinan University, Guangzhou, 510632, PR China;4. Department of Orthopedics, Jiangyin Hospital Affiliated to Nanjing University of Chinese Medicine, Wuxi City, Jiangsu, 214400, PR China
Abstract:In the presence of an electric field a driving force is exerted by the surrounding electron gas on the impurity atoms. The contribution from this term is usually referred to as the Bosvieux-Friedel term who related it to the residual resistivity of the impurity. It has been suggested that the residual resistivity of the impurity causes a dipolar buildup around the impurity resulting in the so-called residual resistivity dipoles (RRD's) which in turn contribute a term to the driving force, in addition to the Boxvieux-Friedel term. We discuss the nature of this term for an impurity in a jellium matrix using nonlinear screening theory. It is found to vanish if it is identified with the third order terms in the impurity potential representing contribution from the RRD's.
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