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arXiv · 2109.14629

Topological classification of intrinsic 3D superconductors using anomalous surface construction

Zhongyi Zhang·Jie Ren·Yang Qi·Chen Fang
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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 $n$th-order irreducible building blocks, minimal anomalous surface states of $n$th-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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Zhongyi Zhang, Jie Ren, Yang Qi, Chen Fang. 2021-09-29. Topological classification of intrinsic 3D superconductors using anomalous surface construction. https://doi.org/10.1103/physrevb.106.l121108

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