A Unified Theory Based on SO (5) Symmetry of Superconductivity and Antiferromagnetism
- 21 February 1997
- journal article
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 275 (5303), 1089-1096
- https://doi.org/10.1126/science.275.5303.1089
Abstract
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.Keywords
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