Bimodal conductance distribution of Kitaev edge modes in topological superconductors

  title={Bimodal conductance distribution of Kitaev edge modes in topological superconductors},
  author={Mathias Diez and Ion Cosma Fulga and D. I. Pikulin and Jakub Tworzydło and C. W. J. Beenakker},
  journal={New Journal of Physics},
A two-dimensional superconductor with spin-triplet p-wave pairing supports chiral or helical Majorana edge modes with a quantized (length L-independent) thermal conductance. Sufficiently strong anisotropy removes both chirality and helicity, doubling the conductance in the clean system and imposing a super-Ohmic 1 / L ?> decay in the presence of disorder. We explain the absence of localization in the framework of the Kitaev Hamiltonian, contrasting the edge modes of the two-dimensional system… 

Anderson localization at the boundary of a two-dimensional topological superconductor

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different

Persistent current in 2D topological superconductors

It is shown that there are two different regimes, which correspond to strong and weak tunneling of Majorana fermions, distinctive in the persistent current behavior, which are a 2π-periodic function of the magnetic flux.

Phase-tunable second-order topological superconductor

Two-dimensional second-order topological superconductors (SOTSCs) have gapped bulk and edge states, with zero-energy Majorana bound states localized at corners. Motivated by recent advances in

A ug 2 01 7 Persistent current in 2 D topological superconductors

A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends

Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors

The robustness against local perturbations, as long as the symmetry of the system is preserved, is a distinctive feature of topological quantum states. Magnetic impurities and defects break

Spontaneous breaking of time-reversal symmetry in topological superconductors

The quantitative analysis on the properties of topological states of superconductors with different crystalline symmetry shows that the phase transition in the topological superconducting state is result of spontaneous breaking of time-reversal symmetry in the superconductor state.

Shot-noise and differential conductance as signatures of putative topological superconductivity in FeSe0.45Te0.55

We present a theory for the differential shot noise, dS/dV , as measured via shot-noise scanning tunneling spectroscopy, and the differential conductance, dI/dV , for tunneling into Majorana zero

Topological Insulators in Amorphous Systems.

This study provides a novel theoretical demonstration of realizing topological phases in amorphous systems, as exemplified by a set of sites randomly located in space, by constructing hopping models on such random lattices whose gapped ground states are shown to possess nontrivial topological nature.

Using topological insulator proximity to generate perfectly conducting channels in materials without topological protection

We show that hybrid structures of topological insulators (TI) and materials without topological protection can be employed to create perfectly conducting channels (PCCs) hosted in the non-topological



Topological Superconducting Phases of Weakly Coupled Quantum Wires

An array of quantum wires is a natural starting point in realizing two-dimensional topological phases. We study a system of weakly coupled quantum wires with Rashba spin-orbit coupling, proximity

Thermal metal-insulator transition in a helical topological superconductor

Two-dimensional superconductors with time-reversal symmetry have a Z_2 topological invariant, that distinguishes phases with and without helical Majorana edge states. We study the topological phase

Scattering formula for the topological quantum number of a disordered multimode wire

The topological quantum number Q of a superconducting or chiral insulating wire counts the number of stable bound states at the end points. We determine Q from the matrix r of reflection amplitudes

Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these

Unpaired Majorana fermions in quantum wires

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length L possesses

Fate and remnants of Majorana zero modes in a quantum wire array

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero-bias peaks in tunneling spectroscopy. We study whether

Scattering theory of topological insulators and superconductors

The topological invariant of a topological insulator (or superconductor) is given by the number of symmetry-protected edge states present at the Fermi level. Despite this fact, established

Majorana fermions and multiple topological phase transition in Kitaev ladder topological superconductors

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures

Normal-conducting mesoscopic systems in contact with a superconductor are classified by the symmetry operations of time reversal and rotation of the electron’s spin. Four symmetry classes are