Nested Defects on the Boundary of Topological Superconductors
arXiv:1605.06335 · doi:10.1103/PhysRevB.94.054505
Abstract
Helical Majorana edge states at the 2D boundaries of 3D topological superconductors can be gapped by a surface Zeeman field. Here we study the effect nested defects imprinted on the Zeeman field can have on the edge states. We demonstrate that depending on the configuration of the field we can induce dimensional reduction of gapless Majorana modes from 2D to 1D or quasi-0D at magnetic domain walls. We determine the nature of the Majorana localisation on these defects as a function of the magnitude and configuration of the Zeeman field. Finally, we observe a generalisation of the index theorem governing the number of gapless modes at the interface between topologically non-trivial systems with partial Chern numbers.
arXiv comment11 pages, 9 figures
References in corpus (37)
- Topological insulators and superconductors
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Majorana fermions in a tunable semiconductor device
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Magnetic impurities on the surface of a topological insulator
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Weyl superconductors
- Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
- Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
- Magnetic Doping and Kondo Effect in Bi2Se3 Nanoribbons
- Cross-Correlated Responses of Topological Superconductors and Superfluids
- Topologically stable gapless phases of time-reversal invariant superconductors
- Electron fractionalization for two-dimensional Dirac fermions
- Topological indices, defects and Majorana fermion in chiral superconductors
- Robust Majorana conductance peaks for a superconducting lead
- Quantum impurity on the surface of a topological insulator
- Universal impurity-induced bound state in topological superfluids
- Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
- Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
- Spin Helix of Magnetic Impurities in Two-dimensional Helical Metal
- Multiband s-wave topological superconductors: role of dimensionality and magnetic field response
- Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
- Counting Majorana zero modes in superconductors
- Holographic correspondence in topological superconductors
- Exceptional points for chiral Majorana fermions in arbitrary dimensions
- Manipulating Majorana fermions in one-dimensional spin-orbit coupled atomic Fermi gases
- Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
- Gapless Topological Superconductors - Model Hamiltonian and Realization
- Counting Majorana bound states using complex momenta
- Effective response theory for zero energy Majorana bound states in three spatial dimensions
- Induced topological order at the boundary of 3D topological superconductors
- Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach