A zero-dimensional topologically nontrivial state in a superconducting quantum dot

• Pasquale Marra,
• Alessandro Braggio and
• Roberta Citro

Beilstein J. Nanotechnol. 2018, 9, 1705–1714, doi:10.3762/bjnano.9.162

• variations of the fermion parity and to the occurrence of zero-energy modes that are a linear combination of particle and hole states [50]. These fermion parity transitions can be revealed by discontinuities in the Josephson current–phase relation (CPR) in the zero-temperature limit. Here we describe the

• current–phase discontinuities In our previous work [50], we have found the general relation between the topological invariant of a 0D topological superconductor and the discontinuities of the Josephson current–phase relation (CPR). The topological phase transition between the trivial (P = 1, even fermion

Josephson effect in junctions of conventional and topological superconductors

• Alex Zazunov,
• Albert Iks,
• Miguel Alvarado,
• Alfredo Levy Yeyati and
• Reinhold Egger

Beilstein J. Nanotechnol. 2018, 9, 1659–1676, doi:10.3762/bjnano.9.158

• , Universidad Autónoma de Madrid, E-28049 Madrid, Spain 10.3762/bjnano.9.158 Abstract We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana

• -terminal S–TS–S geometry, where the TS wire acts as tunable parity switch on the Andreev bound states in a superconducting atomic contact. Keywords: Andreev bound states; Josephson current–phase relation; Majorana zero modes; topological superconductivity; Introduction The physics of topological