Topological rf-SQUID with a frustrating pi-junction for probing the Majorana Bound State

Abstract

Majorana Bound States are predicted to appear as boundary states of the Kitaev model. Here we show that a pi-Josephson Junction, inserted in a topologically non trivial model ring, sustains a Majorana Bound State, which is robust with respect to local and non local perturbations. The realistic structure could be based on a High Tc Superconductor tricrystal structure, similar to the one used to spot the d-wave order parameter. The presence of the Majorana Bound State changes the ground state of the topologically non trivial ring in a measurable way, with respect to that of a conventional one.

6 pages, 5 figures, to appear in Phys. Rev. B

References in corpus (10)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Search for Majorana fermions in multiband semiconducting nanowires
• Topological Superconductor-Luttinger Liquid Junctions

Cited by in corpus (13)

• Quantum transport in Rashba spin-orbit materials: A review
• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Long-Range Propagation and Interference of $d$-wave Superconducting Pairs in Graphene
• Probing Majorana-like states in quantum dots and quantum rings
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• The dc Josephson current in a long multi-channel quantum wire
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• Low temperature thermal transport at the interface of a topological insulator and a d-wave superconductor
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors