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İ. Adagideli

Publications and source records attributed to İ. Adagideli.

5 recordsLinked to original sources

Deconfinement of Majorana vortex modes produces a superconducting Landau level

A spatially oscillating pair potential $Δ(r)=Δ_0 e^{2i K\cdot r}$ with momentum $K>Δ_0/\hbar v$ 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 $Δ_0$, in a perpendicular magnetic field). In the deconfined phase at zero chemical potential the Majorana fermions form a dispersionless Landau level, protected by chiral symmetry against broadening due to vortex scattering. The coherent superposition of electrons and holes in the Majorana Landau level is detectable as a local density of states oscillation with wave vector $\sqrt{K^2-(Δ_0/\hbar v)^2}$. The striped pattern also provides a means to measure the chirality of the Majorana fermions.

cond-mat.mes-hall↗

Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor

It was shown recently that Weyl fermions in a superconducting vortex lattice can condense into Landau levels. Here we study the chiral magnetic effect in the lowest Landau level: The appearance of an equilibrium current $I$ along the lines of magnetic flux $Φ$, due to an imbalance between Weyl fermions of opposite chirality. A universal contribution $dI/dΦ=(e/h)^2μ$ (at equilibrium chemical potential $μ$ relative to the Weyl point) appears when quasiparticles of one of the two chiralities are confined in vortex cores. The confined states are charge-neutral Majorana fermions.

cond-mat.mes-hall↗

Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor

Building on the discovery that a Weyl superconductor in a magnetic field supports chiral Landau level motion along the vortex lines, we investigate its transport properties out of equilibrium. We show that the vortex lattice carries an electric current $I=\tfrac{1}{2}(Q_{\rm eff}^2/h)(Φ/Φ_0) V$ between two normal metal contacts at voltage difference $V$, with $Φ$ the magnetic flux through the system, $Φ_0$ the superconducting flux quantum, and $Q_{\rm eff}<e$ the renormalized charge of the Weyl fermions in the superconducting Landau level. Because the charge renormalization is energy dependent, a nonzero thermo-electric coefficient appears even in the absence of energy-dependent scattering processes.

cond-mat.mes-hall↗

Topologically protected Landau level in the vortex lattice of a Weyl superconductor

The question whether the mixed phase of a gapless superconductor can support a Landau level is a celebrated problem in the context of \textit{d}-wave superconductivity, with a negative answer: The scattering of the subgap excitations (massless Dirac fermions) by the vortex lattice obscures the Landau level quantization. Here we show that the same question has a positive answer for a Weyl superconductor: The chirality of the Weyl fermions protects the zeroth Landau level by means of a topological index theorem. As a result, the heat conductance parallel to the magnetic field has the universal value $G=\tfrac{1}{2}g_0 Φ/Φ_0$, with $Φ$ the magnetic flux through the system, $Φ_0$ the superconducting flux quantum, and $g_0$ the thermal conductance quantum.

cond-mat.mes-hall↗

Valley-momentum locking in a graphene superlattice with Y-shaped Kekulé bond texture

Recent experiments by Gutiérrez $\textit{et al.}$ [Nature Phys. $\textbf{12}$, 950 (2016)] on a graphene-copper superlattice have revealed an unusual Kekulé bond texture in the honeycomb lattice --- a Y-shaped modulation of weak and strong bonds with a wave vector connecting two Dirac points. We show that this so-called "Kek-Y" texture produces two species of massless Dirac fermions, with valley isospin locked parallel or antiparallel to the direction of motion. In a magnetic field $B$ the valley degeneracy of the $B$-dependent Landau levels is removed by the valley-momentum locking --- but a $B$-independent and valley-degenerate zero-mode remains.

cond-mat.mes-hall↗