Probing Majorana Flat Bands in Nodal $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling

Abstract

We show that Majorana fermions associated with Majorana flat bands emerge as zero energy modes on the [110] edge of single layer or multilayer nodal superconductors with $d_{x^2-y^2}$-wave pairing and Rashba spin-orbit coupling. Moreover, as long as the global inversion symmetry of the single layer or multilayer superconductor is broken, and in the presence of an in-plane magnetic field parallel to the [110] edge, the Majorana fermions together with usual fermionic Andreev bound states induce a triple-peak structure in tunnelling spectroscopy experiments. Importantly, we show that the zero bias conductance peak is induced by Majorana fermions. Therefore, tunnelling spectroscopy can be used to probe Majorana fermions in nodal $d_{x^2-y^2}$-wave superconductors.

7 pages, 5 figures

References in corpus (16)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• 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
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Majorana Kramers Doublets in $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Majorana Fermions: The race continues
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors

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• Controllable Rashba spin-orbit interaction in artificially engineered superlattices involving the heavy-fermion superconductor CeCoIn5
• From Kondo Lattices to Kondo Superlattices
• The fate and heir of Majorana zero modes in a quantum wire array
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Emergent exotic superconductivity in artificially-engineered tricolor Kondo superlattices
• Controlling unconventional superconductivity in artificially engineered $f$-electron Kondo superlattices
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Exotic heavy fermion superconductivity in atomically thin CeCoIn${}_5$ films
• Majorana bound states in d-wave superconductor-based hybrid systems
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals