It is argued that zero-energy Majorana bound states are formed in various situations when such wires are situated in proximity to a conventional s-wave superconductor when the external magnetic field, the superconducting gap, or the chemical potential vary along the wire.Expand

The synthesis of a quantum computer remains an ongoing challenge in modern physics. Whereas decoherence stymies most approaches, topological quantum computation schemes evade decoherence at the… Expand

New data, backed up by simulations, support the existence of Majorana fermions in the one-dimensional topological superconductor that is induced by placing an aluminium superconductor close to an… Expand

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that… Expand

Measurements of the thermal Hall conductance in the first excited Landau level of the quantum Hall effect show the existence of a state with non-Abelian excitations and perform topological unitary transformations when braided, which can be useful for topological quantum computation.Expand

This work combines artificial atoms to create a highly correlated electron system within a nano-engineered semiconductor structure and tunes the system in situ through a quantum phase transition between two distinct states, each a version of the Kondo state, in which a bound electron interacts with surrounding mobile electrons.Expand

Realizing topological superconductivity and Majorana zero modes in the laboratory is a major goal in condensed-matter physics. In this Review, we survey the current status of this rapidly developing… Expand

The edge conductance of a QSH insulator as a function of temperature in the presence of a magnetic impurity is calculated using linear response and renormalization group methods.Expand

The results establish the universality of the quantization of thermal conductance for fractionally charged and neutral modes in weakly interacting systems of phonons, photons and electronic Fermi liquids.Expand

This work suggests a general mechanism for slow relaxations and aging, which predicts logarithmic relaxations, and a particular aging dependence on the waiting time, which is compared to experimental data on a diverse range of physical phenomena.Expand