Many-body spin Berry phases emerging from the $π$-flux state: antiferromagnetic/valence-bond-solid competition

Details Many-body spin Berry phases emerging from the $π$-flux state: antiferromagnetic/valence-bond-solid competition Many-body spin Berry phases emerging from the $π$-flux state: antiferromagnetic/valence-bond-solid competition

2005-01-17

arxiv.org/abs/cond-mat/0501365v2

Physical Review Letters vol. 95, 036402 (2005).

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, revised

Scientific paper

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 (AF) 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 AF monopoles with VBS cores, and reproduces Haldane's hedgehog Berry phases. The theory readily generalizes to $\pi$-flux states for all $D$.

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