5 papers
A bulk--edge correspondence for two-dimensional self-adjoint boundary and interface problems
Guillaume Bal
This paper analyzes the quantized asymmetric transport along the boundary of a two-dimensional topological insulator occupying a half plane, or along the interface separating two i…
Inverse scattering for waveguides in topological insulators
Guillaume Bal, Xixian Wang, Zhongjian Wang
This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a D…
Continuous Topological Insulators Classification and Bulk Edge Correspondence
Guillaume Bal
This paper reviews recent results on the classification of partial differential operators modeling bulk and interface topological insulators in Euclidean spaces. Our main objective…
Topological Anderson Insulators by homogenization theory
Guillaume Bal, Thuyen Dang
A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different to…
classification of FTR symmetric differential operators and obstruction to Anderson localization
Guillaume Bal, Zhongjian Wang
This paper concerns the classification of Fermionic Time-Reversal (FTR) symmetric partial differential Hamiltonians on the Euclidean plane. We consider the setting o…