Topological Insulators and Topological Superconductors

כריכה קדמית
Princeton University Press, 7 באפר׳ 2013 - 247 עמודים

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.

 

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תוכן

Introduction
1
Contents
2
Z2 Invariants
10
Hall Conductance and Chern Numbers
15
TimeReversal Symmetry
33
TimeReversal Topological Insulators with Inversion Symmetry
40
Magnetic Field on the Square Lattice
41
Contents
51
Simple Models for the Chern Insulator
91
Contents
169
Dimensional Reduction of 4D Chern Insulators to 3D TimeReversal
177
Experimental Consequences of the Z2 Topological Invariant
186
Topological Superconductors in One and Two Dimensions
193
TimeReversalInvariant Topological Superconductors by Taylor L Hughes
214
Contents ix
226
3D Topological Insulator in a Magnetic Field
237

The BulkEdge Correspondence
60
Graphene
70

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מידע על המחבר (2013)

B. Andrei Bernevig is the Eugene and Mary Wigner Assistant Professor of Theoretical Physics at Princeton University. Taylor L. Hughes is an assistant professor in the condensed matter theory group at the University of Illinois, Urbana-Champaign.

מידע ביבליוגרפי