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Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
Congcong Le, Zhesen Yang, Fan Cui +2
The Nielsen-Ninomiya Theorem has set up a ground rule for the minimal number of the topological points in a Brillouin zone. Notably, in the 2D Brillouin zone, chiral symmetry and s…
Dirac Fermion Cloning, Moir Flat Bands and Magic Lattice Constants in Epitaxial Monolayer Graphene
Qiangsheng Lu, Ching-Kai Chiu, Congcong Le +10
Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron…
Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
Zhesen Yang, A. P. Schnyder, Jiangping Hu +1
The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It states, for example, that Weyl points must come in pairs in three-dimensional semimetals. H…
Realisation of Symmetry Enforced Two-Dimensional Dirac Fermions in Nonsymmorphic -Bismuthene
Pawel J. Kowalczyk, Simon A. Brown, Tobias Maerkl +11
Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-…
Jones polynomial and knot transitions in topological semimetals
Zhesen Yang, Ching-Kai Chiu, Chen Fang +1
Topological nodal line semimetals host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this paper, we use the Jones polynomial as…
Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
Chun-Xiao Liu, Dong E. Liu, Fu-Chun Zhang +1
The successful test of non-Abelian statistics not only serves as a milestone in fundamental physics but also provides a quantum gate operation in topological quantum computation. A…