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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, PP. 144-153

Keywords: 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

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Abstract:

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。
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.

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