Tanaka Akihiro, Hu Xiao
Computational Materials Science Center, National Institute for Materials Science, Sengen 1-2-1 Tsukuba 305-0047, Japan.
Phys Rev Lett. 2005 Jul 15;95(3):036402. doi: 10.1103/PhysRevLett.95.036402.
We uncover new topology-related features of the pi-flux saddle-point solution of the D=2+1 Heisenberg antiferromagnet. We note that symmetries of the spinons sustain a built-in competition between antiferromagnetic (AFM) and valence-bond-solid (VBS) orders, the two tendencies central to recent developments on quantum criticality. An effective theory containing an analogue of the Wess-Zumino-Witten term is derived, which generates quantum phases related to AFM monopoles with VBS cores, and reproduces Haldane's hedgehog Berry phases. The theory readily generalizes to pi-flux states for all D.
我们揭示了(2 + 1)维海森堡反铁磁体的π-通量鞍点解的新的拓扑相关特征。我们注意到自旋子的对称性在反铁磁(AFM)序和价键固体(VBS)序之间维持着一种内在竞争，这两种趋势是近期量子临界性发展的核心。我们推导了一个包含韦斯-祖米诺-维滕项类似物的有效理论，该理论产生了与具有VBS核心的AFM单极子相关的量子相，并重现了霍尔丹的刺猬贝里相位。该理论很容易推广到所有维度的π-通量态。
