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Articles by G. Lemut
Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
Most superconductors are thermal insulators. A disordered chiral p-wave superconductor, however, can make a transition to a thermal metal phase. Because heat is then transported by Majorana fermions, this phase is referred to as a Majorana metal. Here we present numerical evidence that the mechanism for the phase transition with increasing electrostatic disorder is the percolation of boundaries separating domains of different Chern number.
Dynamical simulation of the injection of vortices into a Majorana edge mode
The chiral edge modes of a topological superconductor can transport fermionic quasiparticles with Abelian exchange statistics, but they can also transport non-Abelian anyons: edge vortices bound to a π-phase domain wall that propagates along the boundary. A pair of such edge vortices is injected by the application of an h/2e flux bias over a Josephson junction.
Magnus effect on a Majorana zero mode
A supercurrent on the proximitized surface of a topological insulator can cause a delocalization transition of a Majorana fermion bound to a vortex core as a zero mode. Here we study the dynamics of the deconfinement, as a manifestation of the Magnus effect (the coupling of the superflow to the velocity field in the vortex). The initial acceleration of the Majorana fermion is ±2vF2K/ℏ, perpendicular to the Cooper pair momentum K, for a ±2π winding of the superconducting phase around the vortex.
Tangent Fermions: Dirac or Majorana Fermions on a Lattice Without Fermion Doubling
1 Introduction Topological insulators have a gapped interior and gapless excitations on the surface, described by the Dirac Hamiltonian H = ℏ v k · σ $H=\hbar v\bm {k}\cdot \bm {\sigma }$ . These are massless quasiparticles, with a cone-shaped relativistic dispersion relation E = ± ℏ v | k | $E=\pm \hbar v|\bm {k}|$ .
Deconfinement of Majorana Vortex Modes Produces a Superconducting Landau Level
Abstract A spatially oscillating pair potential Δ(r)=Δ0e2iK·r with momentum K>Δ0/ℏv drives a deconfinement transition of the Majorana bound states in the vortex cores of a Fu-Kane heterostructure (a 3D topological insulator with Fermi velocity v, on a superconducting substrate with gap Δ0, in a perpendicular magnetic field).
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