Detecting a quantum critical point in topological SN junctions

Abstract

A spin-orbit coupled quantum wire, with one end proximate to an s-wave superconductor, can become a topological superconductor, with a Majorana mode localized at each end of the superconducting region. It was recently shown that coupling one end of such a topological superconductor to $two$ normal channels of interacting electrons leads to a novel type of frustration and a quantum critical point when both channels couple with equal strength. We propose an experimental method to access this critical point in a $single$ quantum wire and show its resilience to disorder.

Accepted in Phys. Rev. B

References in corpus (23)

• 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
• 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
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana Fermion Induced Resonant Andreev Reflection
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Tunneling characteristic of a chain of Majorana bound states
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
• Composite Majorana Fermion Wavefunctions in Nanowires
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires
• Andreev scattering and Josephson current in a one-dimensional electron liquid
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Topological Superconductor-Luttinger Liquid Junctions
• Effects of finite superconducting coherence lengths and of phase gradients in topological SN and SNS junctions and rings

Cited by in corpus (7)

• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Luttinger liquid in contact with a Kramers pair of Majorana bound states
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Topological phases and Majorana states in screened interacting quantum wires
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Effect of Disorder on the Conductance of (non-) Topological SN Junctions