Speaker: Jung Hoon Han (Sungkyunkwan University, South Korea)

Time: October 29, 2024 16:00

Place: 理科楼C302

报告摘要：Properties of Abelian anyons are well-known and can be encoded as Abelian Chern-Simons or BF field theories. Lattice realization of the latter is the famous toric code. Recently, our group has explored a variant of the toric code called the rank-2 toric code (R2TC), where the Abelian anyon excitations exhibit dipolar constraint, dipolar braiding, and are described by dipolar BF theory. In this talk, I introduce the model and explain how it came about, then move on to describe its basic properties such as the ground state degeneracy and associated Wilson operators, topological entanglement entropy, braiding statistics, and finally encode them in field-theoretic form. I conclude with a comment on how the various features can be understood in the framework of symmetry-enriched topological phase. This work has been done in collaboration with Daniel Bulmash, Yun-Tak Oh, Jintae Kim, Hyunyong Lee, Salvatore Pace, Yizhi You [1-5].

[1] Rank-2 toric code in two dimensions, Yun-Tak Oh, Jintae Kim, Eungook Moon, JHH, Phys. Rev. B 105 045128 (2022)

[2] Effective field theory of dipolar braiding statistics in two dimensions, Yun-Tak Oh, Jintae Kim, JHH, Phys. Rev. B 106 155150 (2022)

[3] Aspects of rank-2 gauge theory in two dimensions: construction schemes, holonomies, and sublattice one-form symmetries, Yun-Tak Oh, Salvatore D. Pace, JHH, Yizhi You, Hyunyong Lee, Phys. Rev. B 107 155151 (2023)

[4] Unveiling UV/IR mixing via symmetry defects: a view from topological entanglement entropy, Jintae Kim, Yun-Tak Oh, Daniel Bulmash, JHH, arXiv:2310.09425

[5] Dipolar background field theory and dipolar braiding statistics, JHH, Phys. Rev. B 109, 235127 (2024)

报告人简介：Jung Hoon Han leads the Theory of Information & Matter Group at Sungkyunkwan University in Suwon, South Korea. He earned his BSc in physics at Seoul National University, South Korea, in 1991 and his PhD in physics at the University of Washington in 1997 under David Thouless. His research focuses on understanding complex quantum behavior in real materials. More recently, he has worked on developing quantum models with dipole symmetry.