© 2018

Topology in Magnetism

  • Jiadong Zang
  • Vincent Cros
  • Axel Hoffmann
  • Brings together leading scientists in the field of topological condensed matter physics and magnetism

  • Presents essential background for the future development of information technology

  • Addresses issues pertinent to magnetic recording including magnetic solitons, and frustrated magnetism

  • Reviews the basic phenomena of domain walls, vortices, skyrmions, and solitons, as well as transport phenomena


Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 192)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. André Thiaville, Jacques Miltat
    Pages 41-73
  3. Carolin Behncke, Christian F. Adolff, Guido Meier
    Pages 75-115
  4. Gong Chen
    Pages 117-150
  5. Andreas Bauer, Alfonso Chacon, Marco Halder, Christian Pfleiderer
    Pages 151-176
  6. Yuriy Mokrousov
    Pages 177-207
  7. Matthias Althammer
    Pages 209-237
  8. Bo Wan, Hai-Zhou Lu, Xiangang Wan
    Pages 239-265
  9. Libor Šmejkal, Tomáš Jungwirth
    Pages 267-298
  10. Sergej O. Demokritov
    Pages 299-334
  11. Jeffrey C. Y. Teo
    Pages 357-412
  12. Back Matter
    Pages 413-416

About this book


This book presents both experimental and theoretical aspects of topology in magnetism. It first discusses how the topology in real space is relevant for a variety of magnetic spin structures, including domain walls, vortices, skyrmions, and dynamic excitations, and then focuses on the phenomena that are driven by distinct topology in reciprocal momentum space, such as anomalous and spin Hall effects, topological insulators, and Weyl semimetals. Lastly, it examines how topology influences dynamic phenomena and excitations (such as spin waves, magnons, localized dynamic solitons, and Majorana fermions). The book also shows how these developments promise to lead the transformative revolution of information technology.



Berry phase topological insulator thin-film skyrmions topology of electronic band structure dynamics in magnetic systems bulk skyrmions spin textures magnetic solitons spin Hall effect frustrated magnetism

Editors and affiliations

  • Jiadong Zang
    • 1
  • Vincent Cros
    • 2
  • Axel Hoffmann
    • 3
  1. 1.University of New HampshireDurhamUSA
  2. 2.Unité Mixte de Physique CNRS/ThalesPalaiseauFrance
  3. 3.Materials Science DivisionArgonne National LaboratoryLemontUSA

About the editors

Prof. Jiadong Zang received a Ph.D. in Physics from Fudan University in 2012. He then carried out postdoctoral research at the Johns Hopkins University. He joined the University of New Hampshire faculty in 2015. His research interest is in theoretical studies of magnetism and spin transport in general, and topological spin textures in particular.

Dr. Vincent Cros is a CNRS senior researcher in the CNRS/Thales research lab (Palaiseau, France) that is one of the pioneering groups in the field of spintronics. Since 2000, he is leading there the research activities on spin transfer effects and its related potential applications to radiofrequency spintronic devices. His current research interests include: spin transfer induced dynamics of magnetic solitons, nonlinear phenomena induced by spin torque, spin-orbitronics and more recently the physics of magnetic skyrmions in nanostructures.

Dr. Axel Hoffmann is currently the Senior Group Leader of the Magnetic Films Group within the Materials Science Division at the Argonne National Laboratory. His research interests encompass a wide variety of magnetism related subjects, including basic properties of magnetic heterostructures, spin-transport in novel geometries, and biomedical applications of magnetism. His main research focus has recently been on pure spin currents investigated by magnetotransport and magnetization dynamic measurements. 

Bibliographic information