All Publications


  • Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries JOURNAL OF HIGH ENERGY PHYSICS Son, J., Chen, J., Raghu, S. 2019
  • Commuting-projector Hamiltonians for chiral topological phases built from parafermions PHYSICAL REVIEW B Son, J., Alicea, J. 2018; 97 (24)
  • Exact Boson-Fermion Duality on a 3D Euclidean Lattice PHYSICAL REVIEW LETTERS Chen, J., Son, J., Wang, C., Raghu, S. 2018; 120 (1): 016602

    Abstract

    The idea of statistical transmutation plays a crucial role in descriptions of the fractional quantum Hall effect. However, a recently conjectured duality between a critical boson and a massless two-component Dirac fermion extends this notion to gapless systems. This duality sheds light on highly nontrivial problems such as the half-filled Landau level, the superconductor-insulator transition, and surface states of strongly coupled topological insulators. Although this boson-fermion duality has undergone many consistency checks, it has remained unproven. We describe the duality in a nonperturbative fashion using an exact UV mapping of partition functions on a 3D Euclidean lattice.

    View details for PubMedID 29350970

  • Ising anyons in frustration-free Majorana-dimer models PHYSICAL REVIEW B Ware, B., Son, J. H., Cheng, M., Mishmash, R. V., Alicea, J., Bauer, B. 2016; 94 (11)