| 核类似铜酸盐超导模型的sus(1,1)⊕sud(1,1)代数结构 |
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| 引用本文： | 金硕,解炳昊,张宏标.核类似铜酸盐超导模型的sus(1,1)⊕sud(1,1)代数结构[J].物理学报,2012,61(3):30304-030304. |
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| 作者姓名： | 金硕 解炳昊 张宏标 |
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| 作者单位： | 北京航空航天大学 物理科学与核能工程学院物理系, 北京 100191;北京信息科技大学 理学院, 北京 100192;东北师范大学 物理学院, 长春 130024 |
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| 基金项目： | 北京市自然科学基金(批准号: 1072010)和中央高校基本科研业务费专项资金(批准号: YWF-11-03-Q-080)资助的课题. |
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| 摘 要： | 由Iachello提出的核类似铜酸盐超导模型具有su(3)代数结构,其平均场近似下的Hamilton量可以写成su(3)生成元的线性组合.通过代数生成元的实现,该模型约化的Hamilton量具有sus(1,1)⊕sud(1,1)代数结构,利用相干算子U(θ,φ)的幺正变换,可得到系统约化Hamilton量的能隙方程及本征值,发现应用不同代数结构求解会得到不同侧重点的分析结果.
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| 关 键 词： | 核类似铜酸盐超导模型 代数对角化 能隙方程 本征值 |
| 收稿时间： | 2011-01-18 |
An sus(1,1) ⊕ sud(1,1) algebraic structure of the cuprate superconductors model based on the analogy with atomic nuclei |
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| Jin Shuo,Xie Bing-Hao and Zhang Hong-Biao.An sus(1,1) ⊕ sud(1,1) algebraic structure of the cuprate superconductors model based on the analogy with atomic nuclei[J].Acta Physica Sinica,2012,61(3):30304-030304. |
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| Authors: | Jin Shuo Xie Bing-Hao and Zhang Hong-Biao |
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| Institution: | School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China;School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China;School of Physics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | A cuprate superconductor model based on the analogy with atomic nuclei was presented to have an su(3) algebraic structure by Iachello. Our previous work showed that the mean-field approximation Hamiltonian can be expressed as a linear function of the generator of su(3) algebra. Through the realization of the algebra generator, an sus(1,1) ⊕ sud(1,1) algebraic structure is shown. By using the unitary transformation of the coherent operator U(θ,φ), the gap equations and the eigenvalues of the reduced Hamiltonian are obtained. The analysis of the physical model through different algebraic structures leads to different particular results. |
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| Keywords: | cuprate superconductors model algebraic diagonalization method gap equation eigenvalues |
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