Majorana Fermions in Ge/Si Hole Nanowires

Abstract

We consider Ge/Si core/shell nanowires with hole states coupled to an $s$-wave superconductor in the presence of electric and magnetic fields. We employ a microscopic model that takes into account material-specific details of the band structure such as strong and electrically tunable Rashba-type spin-orbit interaction and $g$ factor anisotropy for the holes. In addition, the proximity-induced superconductivity Hamiltonian is derived starting from a microscopic model. In the topological phase, the nanowires host Majorana fermions with localization lengths that depend strongly on both the magnetic and electric fields. We identify the optimal regime in terms of the directions and magnitudes of the fields in which the Majorana fermions are the most localized at the nanowire ends. In short nanowires, the Majorana fermions hybridize and form a subgap fermion whose energy is split away from zero and oscillates as a function of the applied fields. The period of these oscillations could be used to measure the dependence of the spin-orbit interaction on the applied electric field and the $g$ factor anisotropy.

arXiv comment11 pages, 7 figures

References in corpus (64)

• 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
• 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
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Search for Majorana fermions in superconductors
• 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
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Topological Superconductivity in CuxBi2Se3
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Schrieffer-Wolff transformation for quantum many-body systems
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• One-Dimensional Hole Gas in Germanium/Silicon Nanowire Heterostructures
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Self-Organized Topological State with Majorana Fermions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Double quantum dot with integrated charge sensor based on Ge/Si heterostructure nanowires
• Ge/Si nanowire mesoscopic Josephson junctions
• From Luttinger liquid to non-Abelian quantum Hall states
• Spin and Majorana polarization in topological superconducting wires
• Spin Relaxation in Ge/Si Core-Shell Nanowire Qubits
• Composite Majorana Fermion Wavefunctions in Nanowires
• Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Transition from fractional to Majorana fermions in Rashba nanowires
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Spintronics in MoS_2 monolayer quantum wires
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Wire deconstructionism of two-dimensional topological phases
• Fractional Helical Liquids and Non-Abelian Anyons in Quantum Wires
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Circuit QED with Hole-Spin Qubits in Ge/Si Nanowire Quantum Dots
• Strong and Tunable Spin-Orbit Coupling of One-Dimensional Holes in Ge/Si Core/Shell Nanowires
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Parafermions in Interacting Nanowire Bundle
• Monolithic growth of ultra-thin Ge nanowires on Si(001)
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Hole Spin Coherence in a Ge/Si Heterostructure Nanowire
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Correlations between Majorana fermions through a superconductor
• Non-Abelian topological insulators from an array of quantum wires
• Quantum Spin Hall Effect in Strip of Stripes Model
• Topological Superconducting Phases of Weakly Coupled Quantum Wires
• On the nature of tunable hole g-factors in quantum dots
• Helical States in Curved Bilayer Graphene
• Tunable g factor and phonon-mediated hole spin relaxation in Ge/Si nanowire quantum dots
• Antilocalization of Coulomb Blockade in a Ge-Si Nanowire
• Integer and Fractional Quantum Hall Effect in a Strip of Stripes
• Hole-doped semiconductor nanowire on top of an s-wave superconductor: A new and experimentally accessible system for Majorana fermions
• Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering
• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• SiGe quantum dots for fast hole spin Rabi oscillations
• Exporting superconductivity across the gap: Proximity effect for semiconductor valence-band states due to contact with a simple-metal superconductor
• Strongly Interacting Holes in Ge/Si Nanowires
• Band-mixing-mediated Andreev reflection of semiconductor holes

Cited by in corpus (63)

• The germanium quantum information route
• A Short Introduction to Topological Quantum Computation
• Majorana Kramers pairs in higher-order topological insulators
• Low disordered, stable, and shallow germanium quantum wells: a playground for spin and hybrid quantum technology
• Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions
• Nanomaterials for Quantum Information Science and Engineering
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Hole spin qubits in Si FinFETs with fully tunable spin-orbit coupling and sweet spots for charge noise
• Strong spin-orbit interaction and $g$-factor renormalization of hole spins in Ge/Si nanowire quantum dots
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Self-controlled growth of highly uniform Ge/Si hut wires for scalable qubit devices
• Spin and Charge Signatures of Topological Superconductivity in Rashba Nanowires
• Hole spin driving by strain-induced spin-orbit interactions
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Magnetic Field Evolution of Spin Blockade in Ge/Si Nanowire Double Quantum Dots
• Tomography of Majorana Fermions with STM Tips
• Ballistic one-dimensional holes with strong g-factor anisotropy in germanium
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Multiple Andreev reflections and Shapiro steps in a Ge-Si nanowire Josephson junction
• Spin blockade as a probe of Zeeman interactions in hole quantum dots
• Giant g factor tuning of long-lived electron spins in Ge
• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Spin-orbit interaction and induced superconductivity in an one-dimensional hole gas
• Carrier and Spin Coherent Dynamics in Strained Germanium-Tin Semiconductor on Silicon
• Hard superconducting gap and diffusion-induced superconductors in Ge-Si nanowires
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Josephson effect in a few-hole quantum dot
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Superconducting grid-bus surface code architecture for hole-spin qubits
• Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer
• Majorana states in prismatic core-shell nanowires
• Hole spin qubits in thin curved quantum wells
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Parafermion braiding in fractional quantum Hall edge states with finite chemical potential
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Tunable Splitting of the Ground-State Degeneracy in 1D Parafermionic Wires
• Enhanced orbital magnetic field effects in Ge hole nanowires
• Majorana zero modes in gate-defined germanium hole nanowires
• Majorana bound states in germanium Josephson junctions via phase control
• Ballistic quantum transport through Ge/Si core/shell nanowires
• Probing Majorana and Andreev Bound States with Waiting Times
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires
• Vanishing Zeeman energy in a two-dimensional hole gas
• Hole weak anti-localization in a strained-Ge surface quantum well
• InP/GaSb core-shell nanowires: a novel hole-based platform with strong spin-orbit coupling for full-shell hybrid devices
• Entropy controlled fully reversible nanostructure formation of Ge on miscut vicinal Si (001) surfaces
• Majorana fermions in charge carrier hole quantum wires
• Low-energy hole subband dispersions in a cylindrical Ge nanowire: the effects of the nanowire growth direction
• Superconducting Proximity Effect in Two-Dimensional Hole Gases
• Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire
• Scalable and Tunable In-Plane Ge/Si(001) Nanowires Grown by Molecular Beam Epitaxy
• Electrical manipulation of a hole `spin'-orbit qubit in nanowire quantum dot: the nontrivial magnetic field effects
• Hole subband dispersions in a cylindrical Ge nanowire: exact results based on the axial Luttinger-Kohn Hamiltonian
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential
• Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire
• Supercurrent and multiple Andreev reflections in Ge hut nanowire Josephson Junctions
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields
• Electron-hole coherence in core-shell nanowires with partial proximity induced superconductivity