Non-Abelian toplogical superconductors from topological semimetals and related systems under superconducting proximity effect

Abstract

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number. It is found that in topological semimetals with a single two-bands crossing point all the gapped superconductors are non-Abelian ones. Such a property is generalized to related but more generic systems which will be useful in the search of non-Abelian superconductors and Majorana fermions.

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Cited by in corpus (21)

• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• Generic quantized zero-bias conductance peaks in superconductor-semiconductor hybrid structures
• Fusion protocol for Majorana modes in coupled quantum dots
• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
• Electronic properties of InAs/EuS/Al hybrid nanowires
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• Quasiparticle gaps in multiprobe Majorana nanowires
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
• Flux-tunable Kitaev chain in a quantum dot array
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Proposal for measuring the parity anomaly in a topological superconductor ring
• Curvature of gap closing features and the extraction of Majorana nanowire parameters
• Optimizing the topological properties of stacking semiconductor-ferromagnet-superconductor heterostructures
• Scaling up a sign-ordered Kitaev chain without magnetic flux control
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Josephson current via an isolated Majorana zero mode
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling