### arXiv:1812.02720 [cond-mat.str-el]AbstractReferencesReviewsResources

#### Deconfined criticality in the $\text{QED}_{3}$-Gross-Neveu-Yukawa model: the $1/N$ expansion revisited

Rufus Boyack, Ahmed Rayyan, Joseph Maciejko

Published 2018-12-06Version 1

The critical properties of the $\text{QED}_{3}$-Gross-Neveu-Yukawa (GNY) model in 2+1 dimensions with $N$ flavors of two-component Dirac fermions are computed to first order in the $1/N$ expansion. For the specific case of $N=2$, the critical point is conjectured to be dual to the $\text{N$\acute{\text{e}}$el}$-to-valence-bond-solid (VBS) deconfined critical point of quantum antiferromagnets on the square lattice. It is found that Aslamazov-Larkin diagrams, missed by previous $\epsilon$- and $1/N$-expansion studies with four-component fermions, give important contributions to the scaling dimensions of various operators. With the inclusion of these diagrams, the resummed scaling dimensions of the adjoint fermion bilinear and scalar field at the $\text{QED}_{3}$-GNY critical point are in reasonable agreement with numerical studies of the $\text{N$\acute{\text{e}}$el}$-to-VBS transition, in support of the duality conjecture.

**Comments:**14 pages, 10 figures, 1 table