Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm

Abstract

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. We here study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

References in corpus (71)

• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Epitaxy of Semiconductor-Superconductor nanowires
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Interacting one dimensional electron gas with open boundaries
• Majorana bound states from exceptional points in non-topological superconductors
• Spin and Majorana polarization in topological superconducting wires
• An introduction to integrable techniques for one-dimensional quantum systems
• Supercurrent in the quantum Hall regime
• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• 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
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Inducing Superconducting Correlation in Quantum Hall Edge States
• Transition from fractional to Majorana fermions in Rashba nanowires
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• A phenomenological theory of zero-energy Andreev resonant states
• Topologically trivial zero bias conductance peak in semiconductor Majorana wires from boundary effects
• Andreev spectra and subgap bound states in multiband superconductors
• Interacting topological edge channels
• Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
• Interference of chiral Andreev edge states
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Localized end states in density modulated quantum wires and rings
• Topological Photonic Tamm-States and the Su-Schrieffer-Heeger Model
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Detection of Majorana Kramers pairs using a quantum point contact
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Transport through a quantum spin Hall quantum dot
• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
• Asymptotic tunneling conductance in Luttinger liquids
• Quantum Hall Effect in a Josephson Junction
• Non-Abelian BF theory for 2+1 dimensional topological states of matter
• ${\mathbb{Z}}_4$ parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
• Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
• Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• The chiral anomaly in real space
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Topologically nontrivial Andreev bound states
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Spin textures of strongly correlated spin Hall quantum dots
• Full electrostatic control of quantum interference in an extended trenched Josephson junction
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Testing the formation of Majorana states using the Majorana Polarization
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Signatures of Topological Superconductivity and Parafermion Zero Modes in Fractional Quantum Hall Edges

Cited by in corpus (1)

• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion