Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures

  title={Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures},
  author={Jānis Erdmanis and {\'A}rp{\'a}d Luk{\'a}cs and Yuli V. Nazarov},
  journal={Physical Review B},
A generic semiclassical superconducting nanostructure connected to multiple superconducting terminals hosts a quasi-continuous spectrum of Andreev states. The spectrum is sensitive to the superconducting phases of the terminals. It can be either gapped or gapless depending on the point in the multi-dimensional parametric space of these phases. Special points in this space correspond to setting some terminals to the phase 0 and the rest to the phase of π . For a generic nanostructure, three… 

Figures from this paper



Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect

We study Josephson effect in the multiterminal junction of topological superconductors. We use symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev

The ω-SQUIPT as a tool to phase-engineer Josephson topological materials.

Tunnelling spectroscopy measurements reveal transitions between gapped and gapless states that are controlled by the phase configuration of the three superconducting leads connected to the junction, and demonstrate the topological nature of these transitions.

Closing the proximity gap in a metallic Josephson junction between three superconductors

We describe the proximity effect in a short disordered metallic junction between three superconducting leads. Andreev bound states in the multiterminal junction may cross the Fermi level. We reveal

Topological Andreev bands in three-terminal Josephson junctions

We study the emergent band topology of subgap Andreev bound states in the three-terminal Josephson junctions. We scrutinize the symmetry constraints of the scattering matrix in the normal region

Topological properties of multiterminal superconducting nanostructures: Effect of a continuous spectrum

Recently, it has been shown that multiterminal superconducting nanostructures may possess topological properties that involve Berry curvatures in the parametric space of the superconducting phases of

Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions

We show how the superconducting phase difference in a Josephson junction may be used to split the Kramers degeneracy of its energy levels and to remove all the properties associated with

Singularities in the Andreev spectrum of a multiterminal Josephson junction

The energies of Andreev bound states (ABS) forming in a $N$-terminal junction are affected by $N - 1$ independent macroscopic phase differences between superconducting leads and can be regarded as

Coherent transport properties of a three-terminal hybrid superconducting interferometer

We present an exhaustive theoretical analysis of a double-loop Josephson proximity interferometer, such as the one recently realized by Strambini et al. for control of the Andreev spectrum via an

Multiterminal Josephson Effect

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and

Multi-terminal Josephson junctions as topological matter

It is demonstrated that n-terminal Josephson junctions with conventional superconductors may provide novel realizations of topology in n−1 dimensions, which have similarities, but also marked differences with existing 2D or 3D topological materials.