Topological insulators and topological superconductors

B. Andrei Bernevig, Taylor L Hughes

Research output: Book/ReportBook

Abstract

This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.

Original languageEnglish (US)
PublisherPrinceton University Press
ISBN (Print)069115175X, 9780691151755
StatePublished - Mar 28 2013

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insulators
students
condensed matter physics
textbooks
metalloids
topology
fermions
wire
vortices
symmetry
synthesis
magnetic fields
electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bernevig, B. A., & Hughes, T. L. (2013). Topological insulators and topological superconductors. Princeton University Press.

Topological insulators and topological superconductors. / Bernevig, B. Andrei; Hughes, Taylor L.

Princeton University Press, 2013.

Research output: Book/ReportBook

Bernevig, BA & Hughes, TL 2013, Topological insulators and topological superconductors. Princeton University Press.
Bernevig BA, Hughes TL. Topological insulators and topological superconductors. Princeton University Press, 2013.
Bernevig, B. Andrei ; Hughes, Taylor L. / Topological insulators and topological superconductors. Princeton University Press, 2013.
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