科研之友
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摘要
We study several different Z(2) topological ordered states in frustrated spin systems. The effective theories for those different Z(2) topological orders all have the same form-a Z(2) gauge theory which can also be written as a mutual U(1)xU(1) Chern-Simons theory. However, we find that the different Z(2) topological orders are reflected in different projective realizations of lattice symmetry in the same effective mutual Chern-Simons theory. This result is obtained by comparing the ground-state degeneracy, the ground-state quantum numbers, the gapless edge state, and the projective symmetry group of quasiparticles calculated from the slave-particle theory and from the effective mutual Chern-Simons theories. Our study reveals intricate relations between topological order and symmetry.
- 出版日期2008-10
- 单位北京师范大学
