# Higher-order Weyl superconductors with anisotropic Weyl-point connectivity

@article{Rui2020HigherorderWS,
title={Higher-order Weyl superconductors with anisotropic Weyl-point connectivity},
author={W. B. Rui and Song-Bo Zhang and Moritz M. Hirschmann and Zhen Zheng and Andreas P. Schnyder and Bjorn Trauzettel and Z. D. Wang},
journal={Physical Review B},
year={2020},
volume={103}
}
• Published 23 September 2020
• Physics
• Physical Review B
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…
11 Citations

## Figures from this paper

### Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals

• Physics, Education
• 2022
Zi-Ming Wang,1, 2 Rui Wang,2, 3 Jin-Hua Sun,4, ∗ Ting-Yong Chen,5, † and Dong-Hui Xu2, 3, ‡ 1Department of Physics, Hubei University, Wuhan 430062, China 2Department of Physics and Chongqing Key

### Square-root higher-order Weyl semimetals

• Physics
Nature Communications
• 2022
The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the

### Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

• Yajie WuWei Tu
• Physics
Journal of physics. Condensed matter : an Institute of Physics journal
• 2022
Higher-order topological superconductors and superfluids (SFs) host lower-dimensional Majorana corner and hinge states since novel topology exhibitions on boundaries. While such topological

### Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals

• Physics
Physical Review B
• 2022
We give a bulk-hinge correspondence for higher-order topological phases protected by rotoinversion C4I symmetry in magnetic systems. Our approach allows us to show the emergence of the chiral hinge

### Weyl nodes with higher-order topology in an optically driven nodal-line semimetal

• Physics, Education
Physical Review B
• 2022
Xiu-Li Du,1, ∗ Rui Chen,2, ∗ Rui Wang,3, 4, 5, † and Dong-Hui Xu1, ‡ 1Department of Physics, Hubei University, Wuhan 430062, China 2Shenzhen Institute for Quantum Science and Engineering and

### Euler-obstructed Cooper pairing: Nodal superconductivity and hinge Majorana zero modes

• Physics
Physical Review B
• 2022
Since the proposal of monopole Cooper pairing in Ref. [1], considerable research efforts have been dedicated to the study of Cooper pairing order parameters constrained (or obstructed) by the

### Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry

• Materials Science
npj Quantum Materials
• 2022
We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases

### Cooper-pair transistor as a minimal topological quantum circuit

• Physics
Physical Review Research
• 2022
The outlook of protected quantum computing spurred enormous progress in the search for topological materials, sustaining a continued race to ﬁnd the most experimentally feasible platform. Here, we

### Engineering exotic second-order topological semimetals by periodic driving

• Physics
Physical Review B
• 2021
Second-order topological semimetals (SOTSMs) is featured with the presence of hinge Fermi arc. How to generate SOTSMs in different systems has attracted much attention. We here propose a scheme to

### Intertwined Weyl phases: higher-order topology meets unconventional Weyl fermions via crystalline symmetry

• Physics
• 2021
W. B. Rui,1, ∗ Zhen Zheng,1 Moritz M. Hirschmann,2 Song-Bo Zhang,3 Chenjie Wang,1, † and Z. D. Wang1, ‡ Department of Physics and HKU-UCAS Joint Institute for Theoretical and Computational Physics at

## References

SHOWING 1-10 OF 79 REFERENCES

### Boundary Criticality of PT-Invariant Topology and Second-Order Nodal-Line Semimetals.

• Physics
Physical review letters
• 2020
PT-invariant 2D topological insulators and 3DTopological semimetals that go beyond this bulk-boundary correspondence framework are presented and it is found that the 3D system generically belongs to a novel second-order nodal-line semimetal phase, possessing gapped surfaces but a pair of diagonal or off-diagonal hinge Fermi arcs.

### Evidence for an edge supercurrent in the Weyl superconductor MoTe2

• Physics
Science
• 2020
Evidence is reported for the existence of a robust edge supercurrent in the Weyl superconductor molybdenum ditelluride (MoTe2) that is distinct from the conventional Fraunhofer oscillation displayed by the bulk supercurrent.

### All-electrically tunable networks of Majorana bound states

• Physics
• 2020
Second-order topological superconductors (SOTSs) host localized Majorana fermions and provide a new platform for topological quantum computation. We propose a feasible way to realize networks based

### Topological and holonomic quantum computation based on second-order topological superconductors

• Physics
• 2020
Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been

### A fractional corner anomaly reveals higher-order topology

• Physics
Science
• 2020
A topological indicator is introduced that allows for the unambiguous identification of higher-order topology, even without in-gap states, and the associated higher- order bulk-boundary correspondence is demonstrated.

### Majorana and parafermion corner states from two coupled sheets of bilayer graphene

• Physics
Physical Review Research
• 2020
We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of strong spin-orbit interaction, where electrostatic confinement is used to create an array of effective

### Topological properties of possible Weyl superconducting states of URu 2 Si 2

• Physics
• 2018
We show that the current thermodynamic measurements in the superconducting phase of URu2Si2 are compatible with two distinct singlet chiral paired states kz(kx± iky) and (kx± iky). Depending on the

### Magnetic Weyl semimetal phase in a Kagomé crystal

• Physics
Science
• 2019
Using angle-resolved photoemission spectroscopy, the electronic structure of the ferromagnetic crystal Co3Sn2S2 is visualized and discovered its characteristic surface Fermi-arcs and linear bulk band dispersions across the Weyl points, establishing Co3 Sn 2S2 as a magnetic Weyl semimetal that may serve as a platform for realizing phenomena.

### Floquet higher-order topological insulators and superconductors with space-time symmetries

Floquet higher-order topological insulators and superconductors (HOTI/SCs) with an order-two space-time symmetry or antisymmetry are classified. This is achieved by considering unitary loops, whose

### PT -symmetric non-Hermitian Dirac semimetals

• Physics, Mathematics
Physical Review B
• 2019
Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems, $\mathcal{PT}$ symmetry can lead to an entirely real-energy