Long distance coherence of Majorana wires
arXiv:2002.01539 · doi:10.1103/PhysRevB.101.241414
Abstract
Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance coherence for electrons tunneling through a Coulomb blockaded Majorana wire [Fu, Phys. Rev. Lett. 104, 056402 (2010)], an effect that can be observed, e.g., in an interferometer. Here, we examine theoretically the coherent electron transfer, taking into account that tunneling implies the long-distance transfer of charge, which is carried by one-dimensional plasmons. We show that the charge dynamics does not affect the coherence of the electron tunneling process in a topological superconductor consisting of a semiconductor wire proximitized by a single bulk superconductor. The coherence may be strongly suppressed, however, if the topological superconductivity derives from a semiconductor wire proximitized by a granular superconductor.
arXiv comment4+ pages, 3 figures
References in corpus (23)
- Non-Abelian Anyons and Topological Quantum Computation
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Fluxonium: single Cooper pair circuit free of charge offsets
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Flux-controlled quantum computation with Majorana fermions
- Majorana box qubits
- Implementation of low-loss superinductances for quantum circuits
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Roadmap to Majorana surface codes
- A number conserving theory for topologically protected degeneracy in one-dimensional fermions
- Quantum Superinductor with Tunable Non-Linearity
- Majorana Fermion Surface Code for Universal Quantum Computation
- Quantum Computing with Majorana Fermion Codes
- Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
- Distinguishing Majorana bound states from localized Andreev bound states by interferometry
- Pairing in Luttinger Liquids and Quantum Hall States
- Quantum electrodynamics of a superconductor-insulator phase transition
- Microwave spectroscopy of a weakly-pinned charge density wave in a superinductor
- Number conserving analysis of measurement-based braiding with Majorana zero modes
- Proposal for measuring the parity anomaly in a topological superconductor ring
- Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
- Evolution of the transmission phase through a Coulomb-blockaded Majorana wire