Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase

Abstract

We study a one-dimensional (1D) interacting electronic liquid coupled to a 1D array of classical magnetic moments and to a superconductor. We show that at low energy and temperature the magnetic moments and the electrons become strongly entangled and that a magnetic spiral structure emerges without any adjustable parameters. For strong enough coupling between the two, the 1D electronic liquid is driven into a topological superconducting phase supporting Majorana fermions without any fine-tuning of external parameters. Our analysis applies at low enough temperature to a quantum wire in proximity of a superconductor when the hyperfine interaction between electrons and nuclear spins is taken into account or to a chain of magnetic adatoms adsorbed on a superconducting surface.

7 pages, 2 figures, final version

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Cited by in corpus (294)

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• Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
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• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
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• Cooling low-dimensional electron systems into the microkelvin regime
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• Topological state engineering by potential impurities on chiral superconductors
• Disorder-induced topological transitions in multichannel Majorana wires
• Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
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• Impurity-induced subgap states in superconductors with inhomogeneous pairing
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• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Quantum phase diagram of Shiba impurities from bosonization
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• Predicting topological invariants and unconventional superconducting pairing from density of states and machine learning
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• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• RKKY interaction at helical edges of topological superconductors
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• Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
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• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
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• A Large-$N$ Approach to Magnetic Impurities in Superconductors
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• Spin-dependent tunneling between individual superconducting bound states
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
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• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor
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• New mechanisms to engineer magnetic skyrmions and topological superconductors
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