Josephson junction arrays as a platform for topological phases of matter
arXiv:2308.14795 · doi:10.1103/PhysRevB.109.144519
Abstract
Two-dimensional arrays of superconductors separated by normal metallic regions exhibit rich phenomenology and a high degree of controllability. We establish such systems as platforms for topological phases of matter, and in particular chiral topological superconductivity. We propose and theoretically analyze several minimal models for this chiral phase based on commonly available superconductor-semiconductor heterostructures. The topological transitions can be adjusted using a time-reversal-symmetry breaking knob, which can be activated by controlling the phases in the islands, introducing flux through the system, or applying an in-plane exchange field. We demonstrate transport signatures of the chiral topological phase that are unlikely to be mimicked by local non-topological effects. The flexibility and tunability of our platforms, along with the clear-cut experimental fingerprints, make for a viable playground for exploring chiral superconductivity in two dimensions.
arXiv comment11 pages, 8 figures
References in corpus (86)
- Topological Insulators
- Topological insulators and superconductors
- Anyons in an exactly solved model and beyond
- 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
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Periodic table for topological insulators and superconductors
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Topological superconductors: a review
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Cloning of Dirac fermions in graphene superlattices
- Continuous Quantum Phase Transitions
- Kwant: a software package for quantum transport
- Majorana fermions in a tunable semiconductor device
- Exponential Protection of Zero Modes in Majorana Islands
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Probing Neutral Majorana Fermion Edge Modes with Charge Transport
- Chiral Topological Superconductor From the Quantum Hall State
- Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
- Observation of half-integer thermal Hall conductance
- Evidence of topological superconductivity in planar Josephson junctions
- Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
- Microscopic evidence for a chiral superconducting order parameter in the heavy fermion superconductor UTe2
- An exact chiral spin liquid with non-Abelian anyons
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Reproducing topological properties with quasi-Majorana states
- Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
- Interacting topological phases and modular invariance
- Colloquium: Quantum heat transport in condensed matter systems
- Inducing Superconducting Correlation in Quantum Hall Edge States
- Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
- Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
- A novel platform for two-dimensional chiral topological superconductivity
- Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator
- Approaching Zero-Temperature Metallic States in Mesoscopic Superconductor-Normal-Superconductor Arrays
- Visualization of Topological Boundary Modes Manifesting Topological Nodal-Point Superconductivity
- Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
- Zero-field Topological Superconductivity in Ferromagnetic Hybrid Nanowires
- Superconducting, Insulating, and Anomalous Metallic Regimes in a Gated Two-Dimensional Semiconductor-Superconductor Array
- Heat transport as a probe of superconducting gap structure
- Sliding Phases via Magnetic Fields
- From Majorana Fermions to Topological Order
- Multiple Flat Bands and Topological Hofstadter Butterfly in Twisted Bilayer Graphene Close to the Second Magic Angle
- Ballistic superconductivity and tunable -junctions in InSb quantum wells
- Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
- Topological Superconducting Phases of Weakly Coupled Quantum Wires
- Induced unconventional superconductivity on the surface states of BiTe topological insulator
- Universal Optical Control of Chiral Superconductors and Majorana Modes
- Quantized charge transport in chiral Majorana edge modes
- Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity
- Signatures of a topological phase transition in a planar Josephson junction
- Tunable electron-electron interactions in LaAlO3/SrTiO3 nanostructures
- Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions
- Phase-induced topological superconductivity in a planar heterostructure
- Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
- Atomic Manipulation of In-gap States on the -BiPd Superconductor
- Supercurrent-induced Majorana bound states in a planar geometry
- Spin liquids from Majorana Zero Modes in a Cooper Box
- Three-phase Majorana zero modes at tiny magnetic fields
- One-dimensional topological superconductivity based entirely on phase control
- The Lifshitz nature of the transition between the gap and gapless states of a superconductor
- Dynamical vortex transitions in a gate-tunable Josephson junction array
- Multiple Chiral Majorana Fermion Modes and Quantum Transport
- Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
- Topological nature of the transition between the gap and the gapless superconducting states
- Gate defined wires in HgTe quantum wells: from Majorana fermions to spintronics
- Topological superconductivity in Dirac honeycomb systems
- Nanoscale control of the metal-insulator transition at LAO/KTO (110) and LAO/KTO (111) interfaces
- Majorana zero modes induced by superconducting phase bias
- Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
- Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
- Universal phase diagram of topological superconductors subjected to magnetic flux
- Chiral topological superconductivity in Josephson junction
- Disorder Suppression in Topological Semiconductor-Superconductor Junctions