© 2018

Topological Matter

Lectures from the Topological Matter School 2017

  • Dario Bercioux
  • Jérôme Cayssol
  • Maia G. Vergniory
  • M. Reyes Calvo


  • Introduces the basic concepts of the field

  • Features a special chapter about the connection between high energy physics and topological matter

  • Offers practical exercises on numerical quantum transport calculation of topological systems


Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 190)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. I. Robredo, B. A. Bernevig, Juan L. Mañes
    Pages 1-30
  3. Titus Neupert, Frank Schindler
    Pages 31-61
  4. Dominik Gresch, Alexey Soluyanov
    Pages 63-92
  5. Jens H. Bardarson, Roni Ilan
    Pages 93-114
  6. E. Bocquillon, J. Wiedenmann, R. S. Deacon, T. M. Klapwijk, H. Buhmann, L. W. Molenkamp
    Pages 115-148
  7. Alberto Cortijo
    Pages 177-198
  8. Yan Sun, Claudia Felser
    Pages 199-210
  9. Back Matter
    Pages 257-261

About this book


This book covers basic and advanced aspects in the field of Topological Matter. The chapters are based on the lectures presented during the Topological Matter School 2017. It provides graduate level content introducing the basic concepts of the field, including an introductory session on group theory and topological classification of matter. Different topological phases such as Weyls semi-metals, Majoranas fermions and topological superconductivity are also covered. A review chapter on the major experimental achievements in the field is also provided. The book is suitable not only for master, graduate and young postdoctoral researchers, but also to senior scientists who want to acquaint themselves with the subject. 


topological insulators Topological superconductors topological quantum states Majorana systems non-Abelian statistics quantum computing superconducting heterostructures semiconducting wires ferromagnetic chains quantum spin Hall materials

Editors and affiliations

  • Dario Bercioux
    • 1
  • Jérôme Cayssol
    • 2
  • Maia G. Vergniory
    • 3
  • M. Reyes Calvo
    • 4
  1. 1.Theoretical Mesoscopic PhysicsDonostia International Physics CenterDonostia/San Sebastián, GipuzkoaSpain
  2. 2.Laboratoire Ondes et Matière d’aquitaineTalenceFrance
  3. 3.Donostia International Physics CenterDonostia/San Sebastián, GipuzkoaSpain
  4. 4.CIC nanoGUNEDonostia/San Sebastián, GipuzkoaSpain

About the editors

Dario Bercioux is a Research Associate at Donostia International Physics Center, Spain. His research interests include spin dependent quantum transport in topological insulators/superconductors and topological phases mater in unconventional lattices.

Jérôme Cayssol is an Associate Professor at LOMA Bordeaux University, France. His research interests include graphene, topological insulators and superconducting proximity effect.

Maia G. Vergniory is an Assistant Professor at University of the Basque Country, Spain. She is involved on research including first principle calculations of electronic and magentic properties of bulk and surfaces of topological materials. Space and magnetic group theory are also among her interests.

Reyes Calvo is an Ikerbasque Research Associate at CIC Nanogune, Spain.  Besides experimental characterization of Topological Insulators by quantum transport and local probes, she is interested on magnetism at the nanoscale.

Bibliographic information