Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets

Understand

Deconfined quantum criticality of two-dimensional $SU(2)$ quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP$^1$ model with a Maxwell term in 2+1 spacetime dimensions.

• We introduce a new perspective on deconfined quantum criticality within a field-theoretic framework based on an expansion in powers of $\epsilon=4-d$ for fixed number $N$ of complex matter fields.
• We show that in the allegedly weak first-order transition regime, a so-called conformal phase transition leads to a genuine deconfined quantum critical point.
• In such a transition, the gap vanishes when the critical point is approached from above and diverges when it is approached from below.