Deconfined quantum criticality and emergent SO(5) symmetry in fermionic systems

TL;DR

This paper provides numerical evidence for deconfined quantum critical points with emergent SO(5) symmetry in fermionic systems on a honeycomb lattice, advancing understanding of phase transitions in correlated electron systems.

Contribution

It demonstrates the existence of DQCP with SO(5) symmetry in fermionic Hubbard models using large-scale quantum Monte Carlo simulations.

Findings

Evidence of DQCP between antiferromagnetic and valence-bond-solid phases.

Observation of emergent SO(5) symmetry at the critical point.

Critical exponents consistent with conformal bounds.

Abstract

Deconfined quantum criticality with emergent SO(5) symmetry in correlated systems remains elusive. Here, by performing numerically-exact state-of-the-art quantum Monte Carlo (QMC) simulations, we show convincing evidences of deconfined quantum critical points (DQCP) between antiferromagnetic and valence-bond-solid phases in the extended Hubbard model of fermions on the honeycomb lattice with large system sizes. We further demonstrate evidences of the SO(5) symmetry at the DQCP. It is important to note that the critical exponents obtained by finite-size scaling at the DQCP here are consistent with the rigourous conformal bounds. Consequently, we established a promising arena of DQCP with emergent SO(5) symmetry in interacting systems of fermions. Its possible experimental relevances in correlated systems of Dirac fermions will be discussed briefly.