Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires

Abstract

A superconductor with $p_x+i{p}_y$ order has long fascinated the physics community because vortex defects in such a system host Majorana zero modes. Here we propose a simple construction of a chiral superconductor using proximitized quantum wires and twist angle engineering as basic ingredients. We show that a weakly coupled parallel array of such wires forms a gapless $p$-wave superconductor. Two such arrays, stacked on top of one another with a twist angle close to $90^{\circ }$, spontaneously break time reversal symmetry and form a robust, fully gapped $p_x+i{p}_y$ superconductor. We map out topological phases of the proposed system, demonstrate existence of Majorana zero modes in vortices, and discuss prospects for experimental realization.

arXiv comment5 pages, 3 figures; supplementary material

References in corpus (27)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• 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
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Chiral Superconductors
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor

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• Magic angles and correlations in twisted nodal superconductors
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• Chiral Superconductivity in UTe${}_2$ via Emergent $C_4$ Symmetry and Spin Orbit Coupling
• Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
• Symmetry Aspects of Chiral Superconductors
• Twisted Nodal Superconductors
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries
• Dynamical signatures and control of time-reversal breaking in twisted nodal superconductors