Multivariable Scaling for the Anomalous Hall Effect

Dazhi Hou, Gang Su, Yuan Tian, Xiaofeng Jin, Shengyuan A. Yang, and Qian Niu
Phys. Rev. Lett. 114, 217203 – Published 29 May 2015

Abstract

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also present experimental findings, which show strong deviation from previously found scaling forms when different scattering mechanisms compete in strength but can be nicely explained by our theory.

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  • Received 11 March 2015

DOI:https://doi.org/10.1103/PhysRevLett.114.217203

© 2015 American Physical Society

Authors & Affiliations

Dazhi Hou1,2, Gang Su1,2, Yuan Tian1,2, Xiaofeng Jin1,2,*, Shengyuan A. Yang3,†, and Qian Niu4,5,‡

  • 1State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
  • 2Collaborative Innovation Center of Advanced Microstructures, Fudan University, Shanghai 200433, China
  • 3Research Laboratory for Quantum Materials and EPD Pillar, Singapore University of Technology and Design, Singapore 487372, Singapore
  • 4Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
  • 5School of Physics, International Center for Quantum Materials and Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China

  • *xfjin@fudan.edu.cn
  • shengyuan_yang@sutd.edu.sg
  • niu@physics.utexas.edu

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Vol. 114, Iss. 21 — 29 May 2015

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