Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level

Abstract

Distinguishing between topological Majorana zero modes and quasi Majorana modes -- trivial low energy Andreev bound states -- is an important step towards realizing topological hybrid nanowire devices. We propose that this distinction can be made by connecting a hybrid nanowire to a dissipative resonant level realized by a quantum dot weakly coupled to high resistance leads. We show that the qualitative temperature scaling of the width of the resonant level zero bias conductance peak provides a signature unique to true Majorana zero modes. The degeneracy induced by a true Majorana zero mode is further shown to stabilize this conductance peak against particle-hole asymmetry.

arXiv commentUpdated version: Two figures and additional references added: 6+5 pages, 3+3 figures

References in corpus (53)

• 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
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana Fermion Induced Resonant Andreev Reflection
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Quantized Majorana conductance
• Tunneling characteristic of a chain of Majorana bound states
• 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
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Random-matrix theory of Majorana fermions and topological superconductors
• Majorana bound states from exceptional points in non-topological superconductors
• Reproducing topological properties with quasi-Majorana states
• Topological Kondo effect with Majorana fermions
• 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
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Majorana-Klein hybridization in topological superconductor junctions
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Tomonaga-Luttinger physics in electronic quantum circuits
• Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
• Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
• Detecting the universal fractional entropy of Majorana zero modes
• Majorana tunneling entropy
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
• Proposed Method for Distinguishing Majorana Peak from Other Peaks: Tunneling Spectroscopy with Ohmic Dissipation using Resistive Electrodes
• Geometric Josephson effects in chiral topological nanowires
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Conductance quantization in topological Josephson trijunctions
• Transport Signatures of Majorana Quantum Criticality Realized by Dissipative Resonant Tunneling
• Topological aspects of $\pi$ phase winding junctions in superconducting wires
• Reveal the non-local coherent nature from a dissipative Majorana teleportation
• Extended Majorana zero modes in a topological superconducting-normal T-junction
• Stabilization of a Majorana Zero Mode through Quantum Frustration

Cited by in corpus (20)

• Theory of Majorana zero modes in unconventional superconductors
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Majorana entropy revival via tunneling phases
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Suppressing Andreev bound state zero bias peaks using a strongly dissipative lead
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Majorana differential shot noise and its universal thermoelectric crossover
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Topological isoconductance signatures in Majorana nanowires
• Large Andreev bound state zero bias peaks in a weakly dissipative environment
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Thermoelectric fluctuations of interfering Majorana bound states
• Confinement-induced zero-bias peaks in conventional superconductor hybrids
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states