activity
20182023
most citedElectric-magnetic duality in the quantum double models of topological orders with gapped boundaries

57 citations · 164 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.str-el2023

Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries

Siyuan Wang, Yanyan Chen, Hongyu Wang +2

In this paper, we apply the method of Fourier transform and basis rewriting developed in arXiv:1910.13441 for the two-dimensional quantum double model of topological orders to the…

cond-mat.str-el2023★ 9 cited

Symmetry Fractionalized (Irrationalized) Fusion Rules and Two Domain-Wall Verlinde Formulae

Yu Zhao, Hongyu Wang, Yuting Hu +1

We investigate the composite systems consisting of topological orders separated by gapped domain walls. We derive a pair of domain-wall Verlinde formulae, that elucidate the connec…

quant-ph2022★ 56 cited

Geometric Origin of Non-Bloch PT Symmetry Breaking

Yu-Min Hu, Hong-Yi Wang, Zhong Wang +1

The parity-time (PT) symmetry of a non-Hermitian Hamiltonian leads to real (complex) energy spectrum when the non-Hermiticity is below (above) a threshold. Recently, it has been de…

cond-mat.str-el2022★ 8 cited

Characteristic Properties of a Composite System of Topological Phases Separated by Gapped Domain Walls via an Exactly Solvable Hamiltonian Model

Yu Zhao, Shan Huang, Hongyu Wang +2

In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by…

cond-mat.str-el2022★ 10 cited

Extend The Levin-Wen Model To Two-dimensional Topological Orders With Gapped Boundary Junctions

Hongyu Wang, Yuting Hu, Yidun Wan

A realistic material may possess defects, which often bring the material new properties that have practical applications. The boundary defects of a two-dimensional topologically or…

cond-mat.str-el2019★ 57 cited

Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries

Hongyu Wang, Yingcheng Li, Yuting Hu +1

We generalize the Electric-magnetic (EM) duality in the quantum double (QD) models to the case of topological orders with gapped boundaries. We also map the QD models with boundari…

cond-mat.str-el2018★ 5 cited

Anyon exclusions statistics on surfaces with gapped boundaries

Yingcheng Li, Hongyu Wang, Yuting Hu +1

An anyon exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane[1]. The relevant past studies had cons…

cond-mat.str-el2018★ 19 cited

Gapped Boundary Theory of the Twisted Gauge Theory Model of Three-Dimensional Topological Orders

Hongyu Wang, Yingcheng Li, Yuting Hu +1

We extend the twisted gauge theory model of topological orders in three spatial dimensions to the case where the three spaces have two dimensional boundaries. We achieve this by sy…