Exotic circuit elements from zero-modes in hybrid superconductor/quantum Hall systems

Abstract

Heterostructures formed by quantum Hall systems and superconductors have recently been shown to support widely coveted Majorana fermion zero-modes and still more exotic `parafermionic' generalizations. Here we establish that probing such zero-modes using quantum Hall edge states yields non-local transport signatures that pave the way towards a variety of novel circuit elements. In particular, we demonstrate quite generally that at low energies the zero-modes convert chirally moving quasiparticles into oppositely charged quasiholes propagating in the same direction---that is, they swap the sign of the chiral edge currents. One may then construct new and potentially useful circuit elements using this `perfect Andreev conversion' process, including superconducting current and voltage mirrors as well as transistors for fractional charge currents. Characterization of these circuit elements should provide striking evidence of the zero-mode physics.

7 pages, 5 figures, v2: references added

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Cited by in corpus (67)

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• Exploring Topological Superconductivity in Topological Materials
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• Full control of quantum Hall supercurrent in a side gated graphene Josephson junction
• Induced superconducting pairing in integer quantum Hall edge states
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• Evidence for chiral supercurrent in quantum Hall Josephson junctions
• A Ballistic Graphene Cooper Pair Splitter
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• Disorder in Andreev reflection of a quantum Hall edge
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• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
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• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
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• Measurement and control of a Coulomb-blockaded parafermion box
• Free-fermion descriptions of parafermion chains and string-net models
• Andreev reflection in ballistic normal metal/graphene/superconductor junctions
• Parafermionic generalization of the topological Kondo effect
• Readout of parafermionic states by transport measurements
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• Geometrical effects on the downstream conductance in quantum-Hall--superconductor hybrid systems
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• Chiral Majorana Interference as a Source of Quantum Entanglement
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• Enhanced shot noise at bilayer graphene -- superconductor junction
• Coulomb Blockade in Fractional Topological Superconductors
• Signatures of triplet superconductivity in nu=2-chiral Andreev states
• Effective models of doped quantum ladders of non-Abelian anyons
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Chiral Quasiparticle Tunneling Between Quantum Hall Edges in Proximity with a Superconductor
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• Dynamics of parafermionic states in transport measurements
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• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
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• Heat-charge separation in a hybrid superconducting quantum Hall setup
• Investigation of InAs based devices for topological applications
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor Junctions
• On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
• Wigner representation of Andreev-reflected charge pulses
• Floquet-Nambu theory of electron quantum optics with superconductors
• Quantum computation with hybrid parafermion-spin qubits
• Edge optical effect as a probe of chiral topological superconductors
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction
• Buried Dirac points in quantum spin Hall insulators: Implications for Majorana Kramers pair-based quantum computing
• Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall - Superconductor Heterostructures
• Gate tuning of fractional quantum Hall states in InAs two-dimensional electron gas
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