2017/03/31 by Chong Wang, Adam Nahum, Max A. Metlitski +2 · 3 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physrevx.7.031051
published as Phys. Rev. X 7, 031051 (2017) · Published version, 44 pages + references, 4 figures. A summary of main results in p7-9
arxiv created 2017/12/26 · arxiv updated 2017/12/27
The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of 2+1D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work we present multiple equivalent descriptions of deconfined QCPs, and use these to address the possibility of enlarged emergent symmetries in the low energy limit. The easy-plane deconfined QCP, besides its previously discussed self-duality, is dual to Nf = 2 fermionic quantum electrodynamics (QED), which has its own self-duality and hence may have an O(4)× Z2T symmetry. We propose several dualities for the deconfined QCP with SU(2) spin symmetry which together make natural the emergence of a previously suggested SO(5) symmetry rotating the Néel and VBS orders. These emergent symmetries are implemented anomalously. The associated infra-red theories can also be viewed as surface descriptions of 3+1D topological paramagnets, giving further insight into the dualities. We describe a number of numerical tests of these dualities. We also discuss the possibility of "pseudocritical" behavior for deconfined critical points, and the meaning of the dualities and emergent symmetries in such a scenario.