一维各向异性扩展 Hubbard 链的量子相图
Quantum Phase Diagram of the One-Dimensional Anisotropic Extended Hubbard Chain
摘要: 我们研究了一维各向异性扩展 Hubbard 模型，其中最近邻库仑作用 V 和海森堡交换作用 J 与自旋有关。通过玻色化和重整化群分析，我们获得了基态相图。在半满下，基态是绝缘体，依赖自旋的库仑排斥作用导致 BSDW 相，反铁磁交换作用增强 BOW 相但同时减弱 CDW 相。当时 J>4V 时，BSDW 和 CDW 二相消失。各向异性的相互作用对基态相图产生重要的影响。
Abstract: We study a one-dimensional (1D) anisotropic extended Hubbard model, where the nearest-neighbor Coulomb interaction ( V ) and Heisenberg exchange interaction (J ) are spin-dependent. The application of bosonization and renormalization analysis leads to the quantum phase diagram. At half filling, the ground state is dominated in several insulating phases. The spin-dependent Coulomb repulsion interaction leads to a bond-spin-density-wave (BSDW) phase. The antiferromagnetic exchange enhances the bond-charge-density-wave (BCDW) phase while weakens the charge-density-wave (CDW) phase. When J > 4V , the BSDW and CDW phases disappear. The anisotropic interactions have an important effect on the structure of phase diagrams of 1D electron systems.
文章引用：吴岭莉, 孙欣, 丁汉芹. 一维各向异性扩展 Hubbard 链的量子相图[J]. 应用物理, 2026, 16(5): 503-516. https://doi.org/10.12677/APP.2026.165046

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