Proposed Aharonov-Casher interference measurement of non-Abelian vortices in chiral p-wave superconductors

Abstract

We propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral p-wave superconductor. The effect is based on observing vortex interference patterns upon enclosing a finite charge of externally controllable magnitude within the interference path. We predict that when the interfering vortices enclose an odd number of identical vortices in their path, the interference pattern disappears only for non-Abelian vortices. When pairing involves two distinct spin species, we derive the mutual statistics between half quantum and full quantum vortices and show that, remarkably, our predictions still hold for the situation of a full quantum vortex enclosing a half quantum vortex in its path. We discuss the experimentally relevant conditions under which these effects can be observed.

arXiv comment4 pages, 1 figure

References in corpus (14)

• Fault-tolerant quantum computation by anyons
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Observation of half-height magnetization steps in Sr2RuO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• Zero modes of two-dimensional chiral p-wave superconductors
• Zero-energy vortex bound states in noncentrosymmetric superconductors
• Shape and Motion of Vortex Cores in Bi_2Sr_2CaCu_2O_{8+δ}
• Local/Non-Local Complementarity in Topological Effects

Cited by in corpus (30)

• New directions in the pursuit of Majorana fermions in solid state systems
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Chiral P-Wave Order in Sr_2RuO_4
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Majorana Fermions in Strongly Interacting Helical Liquids
• Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Non-adiabatic Effects in the Braiding of Non-Abelian Anyons in Topological Superconductors
• Observing Majorana bound states of Josephson vortices in topological superconductors
• Topological Protection of Majorana Qubits
• A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
• Unconventional quantum oscillations in mesoscopic rings of spin-triplet superconductor Sr2RuO4
• Probing non-Abelian statistics with Majorana fermion interferometry in spin-orbit-coupled semiconductors
• Braidonium: a braiding quantum circuit based on the $4\pi$ Josephson effect
• Unpaired Majorana fermions in a layered topological superconductor
• Effective theory of vortices in two-dimensional spinless chiral $p$-wave superfluids
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Suppression of 2π phase-slip due to hidden zero modes in one dimensional topological superconductors
• Electrical manipulation of Majorana fermions in an interdigitated superconductor-ferromagnet device
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Active Electric Dipole Energy Sources: Transduction via Electric Scalar and Vector Potentials
• Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
• Signatures of the topological spin of Josephson vortices in topological superconductors
• Vortex crossing, trapping and pinning in superconducting nanowires of a NbSe${}_2$ two-dimensional crystal
• Topologically Induced Fermion Parity Flips in Superconductor Vortices
• Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks
• The Aharonov-Casher phase is geometrical and not topological
• Majorana bound state parity exchanges in planar Josephson junctions
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology