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Galois Conjugates of Topological Phases
Michael H. Freedman, Jan Gukelberger, Matthew B. Hastings +3
Galois conjugation relates unitary conformal field theories (CFTs) and topological quantum field theories (TQFTs) to their non-unitary counterparts. Here we investigate Galois conj…
|Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
Liang Chang, Zhenghan Wang
M. Hennings and G. Kuperberg defined quantum invariants Z_{Henn} and Z_{Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |Z_{Kup}|=|Z…
Consistent picture for the electronic structure around a vortex core in iron-based superconductors
Tao Zhou, Z. D. Wang, Yi Gao +1
Based on a two-orbital model and taking into account the presence of the impurity, we studied theoretically the electronic structure in the vortex core of the iron-Pnictide superco…
(3+1)-TQFTs and Topological Insulators
Kevin Walker, Zhenghan Wang
Levin-Wen models are microscopic spin models for topological phases of matter in (2+1)-dimension. We introduce a generalization of such models to (3+1)-dimension based on unitary b…
Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
Shi-Liang Zhu, L. B. Shao, Z. D. Wang +1
We propose an experiment to directly probe the non-Abelian statistics of Majorana fermions by braiding them in an s-wave superfluid of ultracold atoms. We show different orders of…