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

2005/01/19 by Akihiro Tanaka, Xiao HU · 6 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.95.036402

published as Physical Review Letters vol. 95, 036402 (2005). · 4 pages, revised

arxiv created 2005/01/19 · arxiv updated 2009/12/01

Abstract

We uncover new topology-related features of the π-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 π-flux states for all D.

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