Do Majorana zero modes emerge in the hybrid nanowire under a strong magnetic field?

Abstract

The hybrid nanowire consisting of semiconductor with proximity to superconductor is expected to serve as an experimental platform to display Majorana zero modes. By rederiving its effective Kitaev model with spins, we discover a novel topological phase diagram, which assigns a more precise constraint on the magnetic field strength for the emergence of Majorana zero modes. It then turns out the effective pairing strength dressed by the proximity effect exhibits a significant dependence on the magnetic field, and thus the topological phase region is refined as a closed triangle in the phase diagram with chemical potential vs. Zeeman energy(which is obviously different from the open hyperbolic region known before). This prediction is confirmed again by an exact calculation of quantum transport, where the zero bias peak of $2e^2/h$ in the differential conductance spectrum, as the necessary evidence for the Majorana zero modes, disappears when the magnetic field grows too strong. For illustrations with practical hybrid systems, in the InSb nanowire coupled to NbTiN, the accessible magnetic field range is around 0.1--1.5T; when coupled to aluminum shell, the accessible magnetic field range should be smaller than 0.12T. These predictions obviously clarify the current controversial issues about some experiments of Majorana zero modes with hybrid nonawire.

References in corpus (46)

• 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
• 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
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Majorana fermions in a tunable semiconductor device
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana Fermion Induced Resonant Andreev Reflection
• Quantized Majorana conductance
• Tunneling characteristic of a chain of Majorana bound states
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Kondo effect in an integer-spin quantum dot
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Majorana Fermions in Semiconductor Nanowires
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Proximity effect at the superconductor - topological insulator interface
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Heat transport in harmonic lattices
• Robustness of Majorana fermions in 2D topological superconductors
• Strong localization of Majorana end states in chains of magnetic adatoms
• Majorana Fermions in Strongly Interacting Helical Liquids
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• Quantum transport using the Ford-Kac-Mazur formalism
• Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
• Energy gap measurement of nanostructured thin aluminium films for use in single Cooper-pair devices
• Finite-size effects in a nanowire strongly coupled to a thin superconducting shell
• Tomography of Majorana Fermions with STM Tips
• Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
• Transport signatures of topological superconductivity in a proximity-coupled nanowire
• Exact Non-Markovian Master Equation and Dispersive Probing of Non-Markovian Process
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Andreev Bound states in One Dimensional Topological Superconductor
• Probing zero-modes of defect in Kitaev quantum wire

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• Optimizing one dimensional superconducting diodes: Interplay of Rashba spin-orbit coupling and magnetic fields
• Dressed Majorana fermion in a hybrid nanowire
• Refined Majorana phase diagram in topological insulator-superconductor hybrid system
• Controlling superconducting transistor by coherent light
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain