Creation and manipulation of anyons in a layered superconductor-2DEG system

Abstract

We describe and analyze in detail our recent theoretical proposal for the realization and manipulation of anyons in a weakly interacting system consisting of a two-dimensional electron gas in the integer quantum Hall regime adjacent to a type-II superconducting film with an artificial array of pinning sites. The anyon is realized in response to a defect in the pinned vortex lattice and carries a charge \pm e/2 and a statistical angle pi/4. We establish this result, both analytically and numerically, in three complementary approaches: (i) a continuum model of two-dimensional electrons in the vortex lattice of the superconducting film; (ii) a minimal tight-binding lattice model that captures the essential features of the system; and (iii) an effective theory of the superconducting vortex lattice superposed on the integer quantum Hall state. We propose a novel method to measure the fractional charge directly in a bulk transport experiment and an all-electric setup for an ``anyon shuttle'' implementing the braiding operations. We briefly discuss conditions for fabricating the system in the lab and its potential applications in quantum information processing with non-Abelian anyons.

arXiv comment18 pages, 10 figures, submitted to PRB; (v2) section on experimental signatures added, references updated

References in corpus (18)

• Fault-tolerant quantum computation by anyons
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Electron fractionalization in two-dimensional graphenelike structures
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• Mechanics of Individual, Isolated Vortices in a Cuprate Superconductor
• Controlled Manipulation of Individual Vortices in a Superconductor
• Manipulating spin and charge in magnetic semiconductors usingsuperconducting vortices
• Irrational vs. rational charge and statistics in two-dimensional quantum systems
• Fractionalization in a square-lattice model with time-reversal symmetry
• Confinement and Bose Condensation in Gauge Theory of High-Tc Superconductors
• Anyons in a weakly interacting system
• Bargmann Invariants and Geometric Phases - a Generalised Connection
• Fractional statistics of topological defects in graphene and related structures

Cited by in corpus (12)

• Inverse Spin-Galvanic Effect in a Topological-Insulator/Ferromagnet Interface
• Experimental simulation of anyonic fractional statistics with an NMR quantum information processor
• Interaction effect in two-dimensional Dirac fermions
• Symmetry-protected localized states at defects in non-Hermitian systems
• Anyons in integer quantum Hall magnets
• Quantum phase transitions of multi-species Dirac fermions
• Exotic pairing symmetry of interacting Dirac fermions on a $\pi$ flux lattice
• Synthetic anyons in noninteracting systems
• Fractional topological excitations and quantum phase transition in a bilayer 2DEG adjacent to a superconductor film
• An exactly solvable model for anyons with non-Abelian flux
• Exciton condensation and fractional charge in a bilayer two-dimension electron gas adjacent to a superconductor film
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix