Description 
1 online resource (ix, 247 pages) : illustrations 
Contents 
Introduction  Berry phase  Hall conductance and Chern numbers  Timereversal symmetry  Magnetic field on the square lattice  Hall conductance and edge modes : the bulkedge correspondence  Graphene  Simple models for the Chern insulator  Timereversalinvariant topological insulators  Z₂ invariants  Crossings in different dimensions  Timereversal topological insulators with inversion symmetry  Quantum Hall effect and Chern insulators in higher dimensions  Dimensional reduction of 4D Chern insulators to 3D timereversal insulators  Experimental consequences of the Z₂ topological invariant  Topological superconductors in one and two dimensions / Taylor L. Hughes  Timereversalinvariant topological superconductors / Taylor L. Hughes  Super conductivity and magnetism in proximity to topological insulator surfaces / Taylor L. Hughes 
Summary 
"This graduatelevel 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 selfcontained 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 threedimensional topological insulators, and Majorana pwave wires. Additionally, the book covers zero modes on vortices in topological superconductors, timereversal 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 pointgroup 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." Provided by publisher 
Bibliography 
Includes bibliographical references (pages 241243) and index 
Notes 
Print version record 
Subject 
Energyband theory of solids.


Superconductivity.


Solid state physics  Mathematics


Superconductors  Mathematics


SCIENCE  Solid State Physics.


SCIENCE  Electricity.


SCIENCE  Magnetism.


SCIENCE  Energy.


SCIENCE  Mechanics  General.


SCIENCE  Physics  General.


SCIENCE  Physics  Magnetism.


Energyband theory of solids


Solid state physics  Mathematics


Superconductivity


Superconductors  Mathematics


Supraledning.


Konduktivitet.

Form 
Electronic book

Author 
Hughes, Taylor L., 1981 editor.

ISBN 
9781400846733 

1400846730 
