Topology from Triviality

Abstract

We show that bringing into proximity two topologically trivial systems can give rise to a topological phase. More specifically, we study a 1D metallic nanowire proximitized by a 2D superconducting substrate with a mixed s-wave and p-wave pairing, and we demonstrate both analytically and numerically that the phase diagram of such a setup can be richer than reported before. Thus, apart from the two "expected" well-known phases (i.e., where the substrate and the wire are both simultaneously trivial or topological), we show that there exist two peculiar phases in which the nanowire can be in a topological regime while the substrate is trivial, and vice versa.

arXiv comment8 pages, 6 figures (+ 6 pages, 3 figures in Appendixes)

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Cited by in corpus (6)

• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Tunable topological states hosted by unconventional superconductors with adatoms
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Symmetry-protected topological wire in a topological vacuum