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强关联量子物质:t-J模型、实空间配对、自旋相关质量以及化学键和纳米系统中的原子性

Strongly correlated quantum matter: t--J model, real-space pairing, spin-dependent masses, and atomicity in chemical bond and nanosystems

Józef Spałek

arXiv 2607.09465首次发表:更新:

AI 中文总结

概述近五十年对强关联费米子系统研究,包括推导t-J模型、提出准粒子自旋相关重质量概念及Mott-Hubbard转变模型,这些构成相关理论基本部分,还阐述了化学键原子性及纳米系统性质等相关问题。

AI 中文摘要

我批判性地概述了近五十年来对强关联费米子系统的研究。研究集中于:(i)首次推导如今所称的t-J模型,包括Mott-Hubbard绝缘体中自旋-自旋相互作用的Anderson动力学交换极限并考虑实空间配对,随后应用于高温超导;(ii)重费米子系统中准粒子自旋相关重质量的概念;(iii)Mott-Hubbard转变的首个非平凡统计热力学模型。这三个特征与特定量子临界现象构成了20世纪60年代建立的强关联费米子理论的基本组成部分。最后还简要阐述了一些相关问题,如化学键中原子性的引入以及严格EDABI方法中相关纳米系统的特定性质。

英文摘要

I critically overview my research on strongly correlated fermion systems for almost five decades. It concentrated on: (i) the first derivation of what is now called the t--J model, comprising both the limit of Anderson kinetic exchange of spin--spin interaction in the Mott--Hubbard insulator and taking into account real-space pairing, subsequently applied to high-temperature superconductivity; (ii) the concept of spin-dependent heavy mass of quasiparticles in heavy-fermion systems, and (iii) the first nontrivial model of statistical thermodynamics of the Mott--Hubbard transition. Those three features, together with the specific quantum critical phenomena provide, in my view, fundamental components of the theory of strongly correlated fermions established in the 1960s. Some related questions such as introduction of atomicity in the chemical bonding (iv), and specific properties of correlated nanosystems within the rigorous EDABI (v) approach are also briefly elaborated at the end.

Journal refJ. Spałek, Acta Phys. Pol. B 57, 5-A1 (2026)

DOI:10.5506/APhysPolB.57.5-A1

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