In search of Majorana

Abstract

Majorana particles are the same as their antiparticle, and their analogues in condensed matter may be a platform for quantum computing. We describe the search for these modes in semiconductor heterostructures and how disorder is a limiting factor.

arXiv comment17 pages, 4 figures

References in corpus (47)

• 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
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Fermionic quantum computation
• Majorana Fermion Induced Resonant Andreev Reflection
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• 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
• 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
• Hard gap in epitaxial semiconductor-superconductor nanowires
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Fractional ac Josephson effect in p- and d-wave superconductors
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Class D spectral peak in Majorana quantum wires
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Quantum point contact as a probe of a topological superconductor
• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• Disorder-induced zero-bias peaks in Majorana nanowires
• Soft Superconducting Gap in Semiconductor Majorana Nanowires
• Experimental and materials considerations for the topological superconducting state in electron and hole doped semiconductors: searching for non-Abelian Majorana modes in 1D nanowires and 2D heterostructures
• Estimating disorder and its adverse effects in semiconductor Majorana nanowires
• Density of states of disordered topological superconductor-semiconductor hybrid nanowires
• Generic quantized zero-bias conductance peaks in superconductor-semiconductor hybrid structures
• Charge impurity effects in hybrid Majorana nanowires
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature

Cited by in corpus (35)

• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• 2024 roadmap on 2D topological insulators
• Spectral properties, topological patches, and effective phase diagrams of finite disordered Majorana nanowires
• Identifying trivial and Majorana zero-energy modes using the Majorana polarization
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Majorana zero modes in gate-defined germanium hole nanowires
• Density of states, transport, and topology in disordered Majorana nanowires
• Topological superconductivity enhanced by exceptional points
• Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
• Majorana sweet spots in 3-site Kitaev chains
• Disordered Majorana nanowires: Studying disorder without any disorder
• Machine Learning the Disorder Landscape of Majorana Nanowires
• Absence of Majorana oscillations in finite-length full-shell hybrid nanowires
• Germanium-based hybrid semiconductor-superconductor topological quantum computing platforms: Disorder effects
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Magnon-mediated topological superconductivity in a quantum wire
• Majorana-magnon interactions in topological Shiba chains
• Vision transformer based Deep Learning of Topological indicators in Majorana Nanowires
• Disorder induced topological phase transition in a driven Majorana chain
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• Repulsive Casimir force from a Majorana zero-mode
• Engineering of Anyons on M5-Probes via Flux Quantization
• Majorana zero modes in semiconductor-superconductor hybrid structures: Defining topology in short and disordered nanowires through Majorana splitting
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Majorana polarization in disordered heterostructures
• Bound state-continuum resonance transition in a shallow quantum well
• Topological analog of the magnetic bit within the Su-Schrieffer-Heeger-Holstein model
• Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
• Mitigating disorder and optimizing topological indicators with vision-transformer-based neural networks in Majorana nanowires
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Probing the Design Space of InSb Topological Superconductor Nanowires for the Realization of Majorana Zero Modes
• Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields
• Majorana modes in graphene strips: polarization, wavefunctions, disorder, and Andreev states