A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions
暫譯: 拓撲絕緣體簡明課程:一維與二維的能帶結構與邊緣態

Asbóth, János K., Oroszlány, László, Pályi, András Pályi

  • 出版商: Springer
  • 出版日期: 2016-02-23
  • 售價: $1,970
  • 貴賓價: 9.5$1,872
  • 語言: 英文
  • 頁數: 166
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 331925605X
  • ISBN-13: 9783319256054
  • 相關分類: 物理學 Physics量子 Quantum
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators.

The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible.

The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators.

The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.

商品描述(中文翻譯)

這本以課程為基礎的入門書為該領域的新手提供了對於新興的拓撲絕緣體核心主題的簡明介紹。
其目的是提供對邊緣態、體積拓撲不變量以及體積-邊界對應的基本理解,並盡可能使用簡單的數學工具。
目前的方法使用非互動的拓撲絕緣體晶格模型,逐步從最簡單的一維情況(聚乙炔的 Su-Schrieffer-Heeger 模型)發展到二維時間反演不變的拓撲絕緣體(HgTe 的 Bernevig-Hughes-Zhang 模型)。在每個案例中,簡單玩具模型的討論之後,會提出有關拓撲絕緣體的一般論點。
讀者唯一的先決條件是具備量子力學的基本知識,相關的固態物理背景作為這本自成體系的文本的一部分提供,並附有章末問題以供練習。