Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators (Hardcover)

David Vanderbilt

  • 出版商: Cambridge
  • 出版日期: 2018-11-01
  • 售價: $1,680
  • 貴賓價: 9.8$1,646
  • 語言: 英文
  • 頁數: 394
  • 裝訂: Hardcover
  • ISBN: 110715765X
  • ISBN-13: 9781107157651
  • 立即出貨 (庫存=1)

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商品描述

Over the past twenty-five years, mathematical concepts associated with geometric phases have come to occupy a central place in our modern understanding of the physics of electrons in solids. These 'Berry phases' describe the global phase acquired by a quantum state as the Hamiltonian is changed. Beginning at an elementary level, this book provides a pedagogical introduction to the important role of Berry phases and curvatures, and outlines their great influence upon many key properties of electrons in solids, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state. It focuses on drawing connections between physical concepts and provides a solid framework for their integration, enabling researchers and students to explore and develop links to related fields. Computational examples and exercises throughout provide an added dimension to the book, giving readers the opportunity to explore the central concepts in a practical and engaging way.

商品描述(中文翻譯)

在過去的二十五年中,與幾何相位相關的數學概念已成為我們對固體中電子物理的現代理解中佔據中心地位的一部分。這些「貝里相位」描述了在漢密爾頓量改變時,量子態所獲得的全局相位。本書從基礎層面開始,提供了對貝里相位和曲率的教學介紹,並概述了它們對固體中電子的許多關鍵性質的巨大影響,包括電極化、異常霍爾導電度和拓撲絕緣態的性質。它著重於建立物理概念之間的聯繫,並為其整合提供了堅實的框架,使研究人員和學生能夠探索和發展與相關領域的聯繫。全書中的計算示例和練習為讀者提供了一個額外的維度,使他們有機會以實際而引人入勝的方式探索核心概念。