Jun Ho Son
Ph.D. Student in Physics, admitted Autumn 2016
All Publications
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Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries
JOURNAL OF HIGH ENERGY PHYSICS
2019
View details for DOI 10.1007/JHEP06(2019)038
View details for Web of Science ID 000471198100001
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Commuting-projector Hamiltonians for chiral topological phases built from parafermions
PHYSICAL REVIEW B
2018; 97 (24)
View details for DOI 10.1103/PhysRevB.97.245144
View details for Web of Science ID 000436553800006
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Exact Boson-Fermion Duality on a 3D Euclidean Lattice
PHYSICAL REVIEW LETTERS
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
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Ising anyons in frustration-free Majorana-dimer models
PHYSICAL REVIEW B
2016; 94 (11)
View details for DOI 10.1103/PhysRevB.94.115127
View details for Web of Science ID 000383142500002