2019/11/13 by Éric Dupuis, Dupuis, Éric, M. B. Paranjape +4
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.48550/arxiv.1911.05802
Submitted to the proceedings volume for the Quantum Theory and Symmetry XI conference held at the Centre de Recherches Mathématiques, Montréal
arxiv created 2019/11/13 · openalex publication_date 2019/11/13 · arxiv updated 2019/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Monopole operators are topological disorder operators in 2+1 dimensional compact gauge field theories appearing notably in quantum magnets with fractionalized excitations. For example, their proliferation in a spin-1/2 kagome Heisenberg antiferromagnet triggers a quantum phase transition from a Dirac spin liquid phase to an antiferromagnet. The quantum critical point (QCP) for this transition is described by a conformal field theory: Compact quantum electrodynamics (QED3) with a fermionic self-interaction, a type of QED3-Gross-Neveu model. We obtain the scaling dimensions of monopole operators at the QCP using a state-operator correspondence and a large-N expansion, where 2N is the number of fermion flavors. We characterize the hierarchy of monopole operators at this SU(2) x SU(N) symmetric QCP.