Majorana's wires

Detecting Majoranas in 1D wires by charge sensing

The electron number-parity of the ground state of a semiconductor narowire proximity-coupled to a bulk superconductor can alternate between the quantised values ±1 if parameters such as the wire length L, the chemical potential μ or the magnetic field B are varied inside the topological superconductor phase. The parity jumps, which may be interpreted as changes in the occupancy of the fermion s...

Reflection Positivity for Majoranas

We establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas.

Vortex loops and Majoranas

We investigate the role that vortex loops play in characterizing eigenstates of interacting Majoranas. We give some general results and then focus on ladder Hamiltonian examples as a test of further ideas. Two methods yield exact results: (i) A mapping of certain spin Hamiltonians to quartic interactions of Majoranas shows that the spectra of these two examples coincide. (ii) In cases with refl...

Digital wires

E lectrical wires transport energy and information and often both. For example, electrical power cords deliver electrical energy from wall outlets to computers, whereas Ethernet cable transports information in the form of electrical pulses from the internet modem to the computer and back. USB cables are used to both charge the battery of MP3 players and to load digital music on the player. Desp...

Quantum Wires