V2EX tight-binding model

Tight-binding Model

释义 Definition

紧束缚模型(tight-binding model):凝聚态物理/固体物理中一种近似方法,用来描述晶体中电子的能带结构。它假设电子主要局域在原子或格点附近,并通过相邻格点之间的“跃迁/跳跃”(hopping)产生能带与色散关系(常用于晶格、半导体、石墨烯等体系)。

发音 Pronunciation (IPA)

/tat band mdl/

例句 Examples

The tight-binding model is a simple way to estimate electronic bands.
紧束缚模型是一种估算电子能带的简便方法。

Using a tight-binding model with nearest-neighbor hopping, we can reproduce the band structure near the Dirac point.
使用只考虑最近邻跃迁的紧束缚模型,我们可以重现实验中狄拉克点附近的能带结构。

词源 Etymology

tight-binding 字面意思是“紧密束缚”:指电子波函数主要“贴”在原子/格点附近、局域性强;model 表示一种用于计算与解释的理论模型。该术语在20世纪固体能带理论发展中逐渐固定,用来与更偏向“近自由电子(nearly free electron)”的思路相对。

相关词 Related Words

  • Band Structure
  • Bloch Theorem
  • Hopping
  • Lattice
  • Nearest-neighbor
  • Hamiltonian
  • Brillouin Zone
  • Wannier Function
  • Nearly Free Electron Model
  • 文学与典籍出现 Literary Works

    • Solid State Physics(Ashcroft & Mermin)以紧束缚近似讨论能带与晶格中的电子态。
    • Introduction to Solid State Physics(Charles Kittel,《固体物理导论》)介绍紧束缚思想并与其他近似对比。
    • Electronic Structure and the Properties of Solids(Walter A. Harrison)系统使用紧束缚参数化来描述材料电子结构。
    • Slater & Koster (1954), “Simplified LCAO Method for the Periodic Potential Problem”紧束缚参数(常称 SlaterKoster 参数)在材料计算中影响深远。
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