Topological classification of intrinsic three-dimensional superconductors using anomalous surface construction
Zhongyi Zhang, Jie Ren, Yang Qi, Chen Fang
DOI 10.1103/PhysRevB.106.L121108 · Physical Review B
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Abstract
Intrinsic topological superconductors have protected gapless Majorana modes, bound and/or propagating, at the natural boundaries of the sample, without requiring field, defect, or heterostructure. We establish the complete classification/construction of intrinsic topological superconductors jointly protected by point-group and time-reversal symmetries in three dimensions. This is obtained from enumerating distinct ways for stacking nth-order irreducible building blocks, minimal anomalous surface states of nth-order topological superconductors. Particularly, our method provides a unified description of possible surface anomalies away from high-symmetry points/lines in terms of the homotopy group of the surface mass field.
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