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.
It is obvious that the author did not spend too much time on this book. 1) Although the book is printed in black and white, it seems that it should be color printed. There are texts such as “represented by the color red in figure 7.5.” “In this, and a...
评分It is obvious that the author did not spend too much time on this book. 1) Although the book is printed in black and white, it seems that it should be color printed. There are texts such as “represented by the color red in figure 7.5.” “In this, and a...
评分It is obvious that the author did not spend too much time on this book. 1) Although the book is printed in black and white, it seems that it should be color printed. There are texts such as “represented by the color red in figure 7.5.” “In this, and a...
评分It is obvious that the author did not spend too much time on this book. 1) Although the book is printed in black and white, it seems that it should be color printed. There are texts such as “represented by the color red in figure 7.5.” “In this, and a...
评分It is obvious that the author did not spend too much time on this book. 1) Although the book is printed in black and white, it seems that it should be color printed. There are texts such as “represented by the color red in figure 7.5.” “In this, and a...
这本书的价值,在于它成功地跨越了不同物理分支之间的鸿沟。我发现,书中关于K理论和群上同调的应用部分,其讲解的清晰度甚至可以作为学习抽象代数在物理中应用的优秀案例。它没有回避这些数学工具的复杂性,而是巧妙地展示了它们在解决实际物理问题时的强大威力。这种跨学科的融合,使得读者不仅能理解物质的拓扑特性,还能领悟到数学结构本身的美感和力量。对于有志于探索新奇物态的实验物理学家来说,这本书提供的理论预测和分类框架,是设计下一代实验的坚实基石。它提供了一种看待物质、理解对称性、并预言新现象的全新哲学视角,这才是最宝贵的财富。
评分这本被誉为“圣经”的著作,实实在在地为我们描绘了一幅前沿物理学宏伟的蓝图。我初次翻阅时,就被其深度和广度所震撼。它不仅仅是对特定物理现象的罗列,更像是一部系统性的理论构建史诗。作者以极其严谨的数学推导和精妙的物理直觉,将那些看似高深莫测的概念,如能带结构、时间反演对称性、手性、以及拓扑不变量,层层剥开,展现其内在的逻辑美感。特别是对于不同维度下拓扑性质的分类和跨越,那种一气呵成的论证过程,让人仿佛站在巨人的肩膀上,清晰地看到了整个理论体系的演进脉络。对于那些希望深入理解凝聚态物理核心理论框架的研究者来说,这本书无疑是不可多得的宝藏。它要求读者具备扎实的量子力学和固体物理基础,但只要你愿意投入时间,它所给予的回报是巨大的——一种对物质世界深层秩序的全新认知。
评分这本书的排版和图示质量堪称一流,这在物理学专著中往往是难以兼顾的方面。清晰的能带图、布里渊区中的几何表示,以及关键的对称性群结构图,都极大地辅助了抽象概念的可视化。尤其是在讨论晶体对称性与拓扑边界态的关系时,那些精心绘制的低维投影图,简直是点睛之笔,让原本在脑海中难以构建的三维空间想象变得具体而实在。我注意到,作者在引用相关文献时也做了大量的斟酌,确保了理论的连贯性和历史脉络的准确性。它不仅仅是一本技术手册,更像是一部浓缩的学术史诗,记录了过去二十年间该领域如何从边缘走向中心舞台的辉煌历程。对于希望撰写综述或进行博士论文选题的学者而言,这本书提供的背景知识深度是无可替代的。
评分我对这本书的结构编排给予高度赞扬,它展现了一种罕见的逻辑严谨性。全书并非简单地堆砌知识点,而是围绕“拓扑不变量如何保护边缘态”这一核心主线进行展开,层层递进,构建出一个清晰的知识金字塔。从最基础的二维系统开始,逐步引入时间反演、粒子空穴对称性,再到更高阶和更复杂的系统中如何定义和保护拓扑性质,整个过渡自然流畅,毫无跳跃感。这种结构设计,使得读者在学习新内容时,总能清晰地看到它与已学知识之间的联系,避免了“只见树木不见森林”的困境。相比于市面上其他侧重于实验观测或特定材料体系的专著,这本书的优势在于其无可匹敌的理论普适性和基础性,它提供了理解所有具体模型的通用语言。
评分阅读这本书的过程,与其说是学习,不如说是一场智力上的探险。它的叙述风格非常独特,不同于传统教科书那种教科书式的、事无巨细的讲解。它更像是一位经验老到的物理学家在与你进行高水平的学术对话,充满了精炼的概括和对核心思想的精准把握。有些章节,比如关于高阶拓扑相的讨论,简直是神来之笔,它巧妙地将看似不相关的概念联系起来,揭示了统一的底层原理。我特别欣赏作者在引入新概念时所采取的策略,往往是先给出现象的物理图像,再迅速切入其数学本质,这种“物理-数学”交替推进的方式,极大地提高了理解效率。当然,对于初学者来说,可能需要反复咀嚼才能完全消化其中的精髓,但正是这种挑战性,使得最终的豁然开朗更具成就感。这本书的价值,在于它真正教会了你“如何思考”拓扑问题,而不是仅仅“知道”一些结论。
评分So far the fastest and easiste material to study TI for beginners
评分So far the fastest and easiste material to study TI for beginners
评分I buy one, as a fan of bernevig.
评分So far the fastest and easiste material to study TI for beginners
评分The book is not proofread, way too many typos in equations and inconsistencies in sentences. It is obvious that the author (Bernevig!) didn't even spend the time to read it twice to double check for errors. This book shouldn't have been published because of poor editing. On the contents side, topics could have been arranged in a better way.
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