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一维扩展离子Hubbard模型的相图研究
引用本文:赵红霞,赵晖,陈宇光,鄢永红. 一维扩展离子Hubbard模型的相图研究[J]. 物理学报, 2015, 64(10): 107101-107101. DOI: 10.7498/aps.64.107101
作者姓名:赵红霞  赵晖  陈宇光  鄢永红
作者单位:1. 同济大学物理科学与工程学院, 上海 200092;2. 绍兴文理学院, 绍兴 312000
基金项目:国家自然科学基金(批准号: 11474218)资助的课题.
摘    要:
应用密度矩阵重整化群方法, 研究了存在交错离子势Δ时一维半满扩展Hubbard模型的相图. 通过计算关联函数、结构因子、位置算符等方法, 描绘了从Mott绝缘体-键有序绝缘体-Band 绝缘体的特性并给出了精确的相边界. 研究发现: 中间的键有序绝缘体相在相图中占据了很小的一部分区域, 当存在离子势Δ的情况下, 这个区域将会有所增大; 而当相互作用足够强时, 这个中间相消失. 给出了离子Hubbard模型(最近邻电子-电子相互作用V=0)的相图.

关 键 词:密度矩阵重整化群  Hubbard模型  量子相变  相图
收稿时间:2014-12-17

Phase diagram of the one-dimensional extended ionic Hubbard model
Zhao Hong-Xia,Zhao Hui,Chen Yu-Guang,Yan Yong-Hong. Phase diagram of the one-dimensional extended ionic Hubbard model[J]. Acta Physica Sinica, 2015, 64(10): 107101-107101. DOI: 10.7498/aps.64.107101
Authors:Zhao Hong-Xia  Zhao Hui  Chen Yu-Guang  Yan Yong-Hong
Affiliation:1. Key Laboratory for Advanced Microstructure Materials of the Ministry of Education and Department of Physics, Tongji University, Shanghai 200092, China;2. Department of Physics, Shaoxing University, Shaoxing 312000, China
Abstract:
We use a density-matrix renormalization group method to study quantitatively the phase diagram of the half-filled one-dimensional (1D) extended Hubbard model in the presence of a staggered ionic potential Δ. An extensive finite-size scaling analysis is carried out on the relevant structure factors and localization operator to characterize the Mott-insulator (MI)-bond-ordered insulator (BOI)-band-insulator (BI) transitions. The intermediate BOI phase occupies a small region of the phase diagram, and this region is enlarged in the presence of Δ. In addition, the phase diagram of ionic Hubbard (the nearest-neighbor electron-electron interaction V=0) is also given.
Keywords:density-matrix renormalization group  Hubbard model  quantum phase transition  phase diagram
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