V2EX hubbard model

Hubbard Model

定义 Definition

Hubbard 模型:凝聚态物理中的一个经典格点模型,用来描述电子在晶格上跃迁(动能项)同一格点上的库仑排斥(相互作用项)之间的竞争。常用于研究强关联电子体系、金属-绝缘体转变(如 Mott 绝缘体)、磁性与超导等现象。(该术语也有不同维度/变体,如一维、二维 Hubbard 模型等。)

发音 Pronunciation (IPA)

/hbrd mdl/

例句 Examples

The Hubbard model is a simple way to study interacting electrons on a lattice.
Hubbard 模型是一种研究晶格上相互作用电子的简明方法。

At half-filling, the Hubbard model can show a transition from a metal to a Mott insulator when the on-site repulsion becomes strong.
在半充满条件下,当同位点排斥变强时,Hubbard 模型可以呈现金属向 Mott 绝缘体转变的行为。

词源 Etymology

该名称来自英国物理学家 John Hubbard。他在 1960 年代提出这一类模型,用以捕捉“电子在晶格上跳跃”与“同一格点上电子相互排斥”这两种关键效应的最简化理论框架,因此后人以其姓氏命名为 Hubbard model

相关词 Related Words

文献与著作 Notable Works

  • The One-Dimensional Hubbard Model(F. H. L. Essler, H. Frahm, F. Ghmann, A. Klümper, V. E. Korepin)
  • Condensed Matter Field Theory(Alexander Altland, Ben Simons)
  • Introduction to Many-Body Physics(Piers Coleman)
  • Many-Particle Physics(Gerald D. Mahan)
  • 经典论文:John Hubbard 在 19631964 年发表的一系列关于强关联与窄能带体系的论文中系统提出并发展了该模型(常被统称为 “Hubbard papers”)。
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