Josephson current in carbon nanotubes with spin-orbit interaction

Abstract

We demonstrate that curvature-induced spin-orbit (SO) coupling induces a $0-\pi$ transition in the Josephson current through a carbon nanotube quantum dot coupled to superconducting leads. In the non-interacting regime, the transition can be tuned by applying parallel magnetic field near the critical field where orbital states become degenerate. Moreover, the interplay between charging and SO effects in the Coulomb Blockade and cotunneling regimes leads to a rich phase diagram with well-defined (analytical) boundaries in parameter space. Finally, the 0 phase always prevails in the Kondo regime. Our calculations are relevant in view of recent experimental advances in transport through ultra-clean carbon nanotubes.

4 (main text) + 10 (appendices) pages, 3 figures

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Cited by in corpus (16)

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• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Large spin-orbit coupling in carbon nanotubes
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Entanglement detection from conductance measurements in carbon nanotube Cooper pair splitters
• Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Supercurrent Interference in Semiconductor Nanowire Josephson Junctions
• 0-Pi quantum transition in a carbon nanotube Josephson junction: Universal phase dependence and orbital degeneracy
• Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
• Non-collinear spin-orbit magnetic fields in a carbon nanotube double quantum dot
• Gate-controlled supercurrent reversal in MoS${}_2$-based Josephson junctions
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Kondo Phase Transitions of Magnetic Impurities in Carbon Nanotubes
• Resonator induced quantum phase transitions in a hybrid Josephson junction