Majorana bound states in the presence of the half-smeared potential
arXiv:2208.08336 · doi:10.12693/APhysPolA.143.164
Abstract
The Majorana bound state can be realized in one dimensional chain, in form of two well localized and separated states at both ends of the chain. In this paper, we discuss the case when the potential is smeared at one end of the system. In our investigation, we assume the smearing in form of a quadratic function of position. We show that the smearing potential lead to the emergence of extra in-gap states, and effectively decrease the local gap (around the smeared potential). The Majorana states are still preserved in the system, however, their localization depend on the smearing. Moreover, the symmetric localization of the Majorana states from both side of the system is no longer preserved in the presence of the smearing potential.
arXiv comment6 pages, 4 figures
References in corpus (41)
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
- Epitaxy of Semiconductor-Superconductor nanowires
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Hard gap in epitaxial semiconductor-superconductor nanowires
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
- Distinguishing a Majorana zero mode using spin resolved measurements
- Nonlocality of Majorana Modes in Hybrid Nanowires
- Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
- High-resolution studies of the Majorana atomic chain platform
- Majorana bound states in non-homogeneous semiconductor nanowires
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Experimental Phase Diagram of a One-Dimensional Topological Superconductor
- Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
- Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
- BCS-like Bogoliubov Quasiparticles in High-Tc Superconductors Observed by Angle-Resolved Photoemission Spectroscopy
- Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
- Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
- Hard superconducting gap in InSb nanowires
- Decaying spectral oscillations in a Majorana wire with finite coherence length
- On controlling the bound states in quantum-dot hybrid-nanowire
- Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
- Topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
- Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
- Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
- Majorana Fermions in Magnetic Chains
- Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases
- Decays of Majorana or Andreev oscillations induced by steplike spin-orbit coupling
- Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
- Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid
- Manipulating Majorana fermions in one-dimensional spin-orbit coupled atomic Fermi gases
- Testing the formation of Majorana states using the Majorana Polarization