三体作用对一维扩展Hubbard模型基态相图的影响
Effects of Three-Body Interaction on the Ground-State Phase Diagram of One-Dimensional Extended Hubbard Model
DOI: 10.12677/CMP.2023.122002, PDF,   
作者: 张 俊, 丁汉芹*：新疆大学物理科学与技术学院，新疆 乌鲁木齐
关键词: 扩展Hubbard模型；三体作用；相图；半满；Extended Hubbard Model； Three-Body Interaction； Phase Diagram； Half-Filling
摘要: 我们在一维扩展Hubbard模型(t-U-V)的基础上增加对角三体相互作用(P)，研究了一维t-U-V-P模型的基态特性。通过玻色化方法和重整化群理论，我们在半满情况下得到了模型的基态相图。研究表明，三体作用会改变t-U-V模型的量子特性，导致更为丰富的基态相图。三条相变线把相平面分为四个不同的相区，即电荷密度波、自旋密度波、单相超导和三相超导态。此外，我们利用量子仿真讨论了相变性质。
Abstract: Based on the one-dimensional extended Hubbard model (t-U-V), we study the ground state characteristics of the one-dimensional t-U-V-P model by adding a diagonal three-body interaction (P). Using the bosonization approach and renormalization group theory, we obtain a ground-state phase diagram of the model at half-filling. The result shows that the three-body interaction modifies the structure of quantum properties of the t-U-V model and leads to a much richer phase diagram, which consists of four different phases by three transition lines, including the CDW, SDW, SS and TS phases. Besides, we use quantum simulation to discuss the nature of transitions.
文章引用：张俊, 丁汉芹. 三体作用对一维扩展Hubbard模型基态相图的影响[J]. 凝聚态物理学进展, 2023, 12(2): 9-18. https://doi.org/10.12677/CMP.2023.122002

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