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Topological Insulators and Topological Superconductors [Hardcover]

B. Andrei Bernevig , Taylor L. Hughes
5.0 out of 5 stars  See all reviews (1 customer review)
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Book Description

7 April 2013

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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Product details

  • Hardcover: 264 pages
  • Publisher: Princeton University Press (7 April 2013)
  • Language: English
  • ISBN-10: 069115175X
  • ISBN-13: 978-0691151755
  • Product Dimensions: 25.4 x 18 x 2.3 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 110,880 in Books (See Top 100 in Books)

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"The book . . . may be extremely useful to both graduate students and more senior researchers."--Vicentiu D. Radulescu, Zentralblatt MATH

From the Inside Flap

"This book presents an array of increasingly complicated problems centered around the idea of the topology of a band in k-space and the theorem that the Chern number determines the Hall effect. It will be invaluable to those who are in tune with the conceptual structure of modern band theory as reconfigured by Haldane and his fellow travelers."--Philip W. Anderson, Nobel Laureate in Physics

"One of the most exciting developments in condensed matter physics over the last seven or eight years has been the topic of topological insulators and superconductors. The present book, by one of the original pioneers in this area, is a very up-to-date and comprehensive introduction to the theory of these systems. It will be extremely useful to both graduate students and more senior researchers."--Anthony J. Leggett, University of Illinois, Urbana-Champaign

"An authoritative and sophisticated introduction to the mathematics of topological insulation."--Robert B. Laughlin, Stanford University

"This book gives the first comprehensive introduction to the theory of topological insulators and superconductors--an exciting new field in condensed matter physics. The authors contributed to the discovery of the first topological insulator HgTe, and now present a readable account accessible to most graduate students."--Shoucheng Zhang, Stanford University

"This excellent book introduces a relatively new topic in condensed matter physics. The material is well developed and sufficient detail is given for students to follow arguments and derivations. With a hands-on, no-nonsense approach, Topological Insulators and Topological Superconductors will be a mainstay in the field for years to come."--Marcel Franz, University of British Columbia

"Topological Insulators and Topological Superconductors deals with a very exciting subject that has become the focus of research in recent years. Bernevig and Hughes have made some of the most important theoretical contributions to this young field and this timely volume will have significant staying power. It will be of great interest to condensed matter physicists, high energy and string theorists, and mathematicians."--Eduardo Fradkin, University of Illinois, Urbana-Champaign

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Most Helpful Customer Reviews
0 of 1 people found the following review helpful
5.0 out of 5 stars Very good book 9 Sep 2013
Format:Hardcover|Verified Purchase
This book is really worthy its price. I was probably 6th person of our research group to buy it, which makes it a bestseller as far as Physics books could be called that! It is clearly written introduction to the subject at the level accessible to people from ~ (Physics) Master level up. It also contains exercises. There are occasional typos, but hopefully we get an improved second edition soon.
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Most Helpful Customer Reviews on (beta) 3.1 out of 5 stars  7 reviews
18 of 19 people found the following review helpful
1.0 out of 5 stars Many typos... 11 Sep 2013
By belina - Published on
Format:Hardcover|Verified Purchase
This research area is exciting and growing dramatically. However, except the original research literatures, there are slim sources for people. especially graduate students to access this field. This book is indeed one of the pioneer textbooks and I did expect highly on it. But it disappointed me so much. I do not expect the really high quality such as Weinberg's field theory or Ashcroft's solid physics. However, it is far from the standard quality... There are many typos in the book. I am able to correct many of them because most calculations in the book would be reproduced by myself. But some of them are not easy to determine, especially for some paradoxical and confusing definitions and conclusions. Even for the same calculation, there are two different answers from the author's deduction and citation from the literature source. I DO NOT recommend it. To understand this field or try to enter it later, I have to say, by now, the best way is to read the original academic papers and think hard by yourself.
5 of 6 people found the following review helpful
5.0 out of 5 stars Good Introduction to the field 18 Feb 2014
By Daniel Harris - Published on
The book is a great introduction to the subject of topological insulators, at the level the field was about 3-4 years ago. The concepts are presented in a way that anyone can pick up and start deriving them following the book. As a fast-changing field, it is clear that a new edition will be soon needed - for example the periodic table of topological classification is not present - although the authors do present a way of understanding some of the classification by looking at the one-body terms that can gap the surface. The book has some typos though, which I suggest that the authors change in the next edition.
6 of 9 people found the following review helpful
1.0 out of 5 stars so many mistakes, do not recommend at all 11 Feb 2014
By Xiaoming Zhu - Published on
I cannot believe that the authors, e.g., Bernevig, dare sell this kind of book to public. So many mistakes and typos!!
I even suspect if the author Bernevig proofreaded his book. These mistaks are not trival, they are sometimes critical for understanding the topics. If the author just want to earn money, I suggest the author do something else, not physics.
It is so shame.
2.0 out of 5 stars The selection of content is very good, however 22 Aug 2014
By rogers - Published on
Format:Hardcover|Verified Purchase
The selection of content is very good, however, a pedagogical text must treat the material very carefully and it must be proofread many times. The abundance of mistakes and typos make it clear that this was not the case. It makes one mistrust the material rather than developing a crystal-clear understanding. Hopefully these will be fixed in a second edition!!
1 of 3 people found the following review helpful
4.0 out of 5 stars Good choice both for researchers and graduate students! 29 Nov 2013
By Denis Khomitsky - Published on
Format:Hardcover|Verified Purchase
The book is clearly written and it is well illustrated. The author is well known in this field. All these aspects are both of big importance for a book on such novel branch of fundamental physics as topological insulators. Good choice both for researchers and graduate students!
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