Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors

Abstract

We demonstrate that in two-dimensional noncentrosymmetric s-wave superconductors under applied magnetic fields for a particular electron density, topological order emerges, and there exists a zero energy Majorana fermion mode in a vortex core, which obeys non-Abelian statistics, in analogy with p_x+ip_y superconductors, the Moore-Read Pfaffian quantum Hall state, and the gapped non-Abelian spin liquid phase of the Kitaev model.

4 pages, 2 figures

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• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
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• Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
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• Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Edge supercurrent in Josephson junctions based on topological materials
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Logical Majorana zero modes in a nanowire network
• Majorana states in a p-wave superconducting ring
• The vortex core excitation spectrum in gapped topological d-wave superconductors
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Majorana modes in a triple-terminal Josephson junction with embedded parallel-coupled double quantum dots
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems