受控跃迁下的一维扩展Hubbard模型的基态相图
Ground State Phase Diagram of the One-Dimensional Extended Hubbard Model with Modified Hopping
DOI: 10.12677/app.2026.163014, PDF,   
作者: 白培焯, 孙 欣, 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: 一维；Hubbard模型；受控跃迁；弱耦合；基态相图；One Dimension； Hubbard Model； Modified Hopping； Weak Coupling； Ground State Phase Diagram
摘要: 我们通过引入调制参数ξ，在弱耦合区域研究了由受控跃迁、在位作用U和最近邻库仑作用V描述的一维关联电子体系。研究表明，诱导产生的三体吸引作用改变了标准Hubbard模型的相图。在半满情况下，除了熟悉的电荷密度波(CDW)和自旋密度波(SDW)，基态相图中 | U−2V |< 8 ξ 2 t/π 区域还存在一个键序自旋密度波(BSDW)。当最近邻库仑作用V消失时，体系中存在绝缘体–金属相变。在 ξ> πU/ 8t 区域，存在三重超导(TS)序Luttinger金属相。我们也从有效相互作用角度讨论了包含超导(TS, SS)的一般量子相图。
Abstract: By introducing a modulation parameter ξ, we study the one-dimensional correlated system with modified hopping, on-site U and nearest-neighbor V repulsion in the weak-coupling regime. The induced three-body attraction changes the phase diagram of the standard Hubbard model. Besides the usual charge-density-wave (CDW) and spin-density-wave (SDW), a bond-spin-density-wave (BSDW) phase exists for | U−2V |< 8 ξ 2 t/π at half filling. In the absence of the nearest neighbor Coulomb interaction V, an insulator-metal transition takes place. A Luttinger metallic phase with the triplet superconducting (TS) correlations is realized for ξ> πU/ 8t . Effectively, a general quantum phase diagram including superconductivity (TS, SS) is also discussed.
文章引用：白培焯, 孙欣, 丁汉芹. 受控跃迁下的一维扩展Hubbard模型的基态相图[J]. 应用物理, 2026, 16(3): 144-153. https://doi.org/10.12677/app.2026.163014

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