Induced topological order at the boundary of 3D topological superconductors

Abstract

We present tight-binding models of 3D topological superconductors in class DIII that support a variety of winding numbers. We show that gapless Majorana surface states emerge at their boundary in agreement with the bulk-boundary correspondence. At the presence of a Zeeman field the surface states become gapped and the boundary behaves as a 2D superconductor in class D. Importantly, the 2D and 3D winding numbers are in agreement signifying that the topological order of the boundary is induced by the order of the 3D bulk. Hence, the boundary of a 3D topological superconductor in class DIII can be used for the robust realisation of localised Majorana zero modes.

References in corpus (29)

• Topological Insulators
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Majorana fermions in a tunable semiconductor device
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Majorana Fermions and Non-Abelian Statistics in Three Dimensions
• Topological field theory and thermal responses of interacting topological superconductors
• Vortices and Other Topological Solitons in Dense Quark Matter
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Topologically trivial zero bias conductance peak in semiconductor Majorana wires from boundary effects
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Three-dimensional topological phase on the diamond lattice
• Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
• Non-Abelian statistics as a Berry phase in exactly solvable models
• Percolation, Bose-Einstein Condensation, and String Proliferation
• Vortex Lattices in the Superconducting Phases of Doped Topological Insulators and Heterostructures
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors
• Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Effect of thermal fluctuations in topological p-wave superconductors

Cited by in corpus (5)

• Holographic correspondence in topological superconductors
• Geometric Model of Topological Insulators from the Maxwell Algebra
• Nested Defects on the Boundary of Topological Superconductors
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect