Driving Topological Phases by Spatially Inhomogeneous Pairing Centers

Abstract

We investigate the effect of periodic and disordered distributions of pairing centers in a one-dimensional itinerant system to obtain the microscopic conditions required to achieve an end Majorana mode and the topological phase diagram. Remarkably, the topological invariant can be generally expressed in terms of the physical parameters for any pairing center configuration. Such a fundamental relation allows us to unveil hidden local symmetries and to identify trajectories in the parameter space that preserve the non-trivial topological character of the ground state. We identify the phase diagram with topologically non-trivial domains where Majorana modes are completely unaffected by the spatial distribution of the pairing centers. These results are general and apply to several systems where inhomogeneous perturbations generate stable Majorana modes.

9 pages, 5 figures

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Cited by in corpus (8)

• Quantum coherence in a compass chain under an alternating magnetic field
• Geometric driving of two-level quantum systems
• Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain
• Disordered Majorana nanowires: Studying disorder without any disorder
• Spin, orbital and topological order in models of strongly correlated electrons
• Topological Phases emerging from Spin-Orbital Physics
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Ballistic transport in 1D Rashba systems in the context of Majorana nanowires