2020/08/01 by Minyoung You, You, Minyoung
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2008.00154
openalex publication_date 2020/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Class D topological superconductors in 2+1 dimensions are known to have a ℤ16 classification in the presence of interactions, with 16 different topological orders underlying the 16 distinct phases. By applying the fermionic stacking law, which involves anyon condensation, on the effective Hamiltonian describing the topological interaction of vortices in the p+ip superconductor, which generates the 16 other phases, we recover the braiding coefficients of vortices for all remaining phases as well as the ℤ16 group law. We also apply this stacking law to the time-reversal invariant Class DIII superconductors (which can themselves be obtained from stacking two Class D superconductors) and recover their ℤ2 classification.