Criticality in quantum triangular antiferromagnets via fermionized vortices

摘要: We reexamine two-dimensional frustrated quantum magnetism with the aim of exploring new critical points and phases. study easy-plane triangular antiferromagnets using a dual vortex approach, fermionizing vortices Chern-Simons field. Herein we develop this technique for integer-spin systems which generically exhibit simple paramagnetic phase as well magnetically ordered phases coplanar collinear spin order. Within fermionized-vortex derive low-energy effective theory containing Dirac fermions two flavors minimally coupled to U(1) gauge At criticality argue that field can be subsumed into field, up irrelevant interactions one arrives at electrodynamics in 2+1 dimensions (QED3). Moreover, conjecture QED3 full SU(2) flavor symmetry describes O(4) multicritical point model where paramagnet merge. The remarkable implication is ordinary Φ^4 symmetry. This leads number unexpected, verifiable predictions QED3. A connection our approach dipole interpretation nu=1/2 fractional Hall state also demonstrated. introduced paper will applied spin-1/2 forthcoming publication.