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arXiv · 2009.11419

Higher-order Weyl superconductors with anisotropic Weyl-point connectivity

W. B. Rui·Song-Bo Zhang·Moritz M. Hirschmann·Andreas P. Schnyder·Björn Trauzettel·Z. D. Wang
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Abstract

Weyl superconductors feature Weyl points at zero energy in the three-dimensional (3D) Brillouin zone and arc states that connect the projections of these Weyl points on the surface. We report that higher-order Weyl superconductors can be realized in odd-parity topological superconductors with time-reversal symmetry being broken by periodic driving. Different from conventional Weyl points, the higher-order Weyl points in the bulk separate 2D first- and second-order topological phases, while on the surface, their projections are connected not only by conventional surface Majorana arcs, but also by hinge Majorana arcs. We show that the Weyl-point connectivity via Majorana arcs is largely enriched by the underlying higher-order topology and becomes anisotropic with respect to surface orientations. We identify the anisotropic Weyl-point connectivity as a characteristic feature of higher-order Weyl materials. As each 2D subsystem can be singled out by fixing the periodic driving, we propose how the Majorana zero modes in the 2D higher-order topological phases can be detected and manipulated in experiments.

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W. B. Rui, Song-Bo Zhang, Moritz M. Hirschmann, Andreas P. Schnyder, Björn Trauzettel, Z. D. Wang. 2020-09-23. Higher-order Weyl superconductors with anisotropic Weyl-point connectivity. https://doi.org/10.1103/physrevb.103.184510

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