- Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries JOURNAL OF HIGH ENERGY PHYSICS 2019
- Commuting-projector Hamiltonians for chiral topological phases built from parafermions PHYSICAL REVIEW B 2018; 97 (24)
Exact Boson-Fermion Duality on a 3D Euclidean Lattice
PHYSICAL REVIEW LETTERS
2018; 120 (1): 016602
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 2016; 94 (11)