Topological Insulators and Topological Superconductors
Topological Insulators and Topological Superconductors
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DOI：
10.1515/9781400846733
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发表时间：
2013-04
期刊：
影响因子：
--
通讯作者：
B. Bernevig
中科院分区：
文献类型：
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作者：
B. Bernevig
这本研究生水平的教科书是拓扑绝缘体和超导体领域的第一个教学综合，这是凝聚态物理学研究中最令人兴奋的领域之一。介绍了最新的发展，同时提供了所有必要的计算一个独立的和完整的描述的纪律，这是理想的研究生和研究人员准备在这一领域工作，这将是一个重要的参考内外的课堂。这本书开始与简单的概念，如贝里阶段，狄拉克费米子，霍尔电导和它的链接拓扑结构，和霍夫斯塔德问题的晶格电子在磁场中。它继续解释物质的拓扑相，如陈省身绝缘体，二维和三维拓扑绝缘体和马约拉纳p波线。此外，该书还涵盖了拓扑超导体中涡旋的零模式、时间反转拓扑超导体以及拓扑响应/场论和拓扑指数。这本书也分析最近的主题在凝聚态理论和结论调查活动的研究领域，如绝缘体与点群对称性和稳定性的拓扑半金属。每章末尾的问题提供了测试知识和参与前沿研究问题的机会。拓扑绝缘体和拓扑超导体将为研究生和研究人员提供在这个快速发展的领域开展研究所需的物理理解和数学工具。
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.