A Unified Theory Based on SO(5) Symmetry of Superconductivity and Antiferromagnetism
A Unified Theory Based on SO(5) Symmetry of Superconductivity and Antiferromagnetism
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DOI：
10.1126/science.275.5303.1089
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发表时间：
1997-02
期刊：
影响因子：
56.9
通讯作者：
Shoucheng Zhang
中科院分区：
文献类型：
--
作者：
Shoucheng Zhang
高临界温度（Tc）超导体的复杂相图可以从统一反铁磁性和d波超导性的SO（5）对称性原理推导出来。近似SO（5）对称性是从微观哈密顿量导出的，在重正化群流向双临界点的情况下，它变得精确。这种对称性使得能够构造SO（5）量子非线性σ模型，该模型描述了系统的相图和有效的低能动力学。该模型很好地解释了高温超导体从绝缘区到欠掺杂区和最佳掺杂区的基本现象。
The complex phase diagram of high-critical temperature (Tc) superconductors can be deduced from an SO(5) symmetry principle that unifies antiferromagnetism and d-wave superconductivity. The approximate SO(5) symmetry has been derived from the microscopic Hamiltonian, and it becomes exact under renormalization group flow toward a bicritical point. This symmetry enables the construction of a SO(5) quantum nonlinear σ model that describes the phase diagram and the effective low-energy dynamics of the system. This model naturally explains the basic phenomenology of the high-Tc superconductors from the insulating to the underdoped and the optimally doped region.