Singularities in the Andreev spectrum of a multiterminal Josephson junction

  title={Singularities in the Andreev spectrum of a multiterminal Josephson junction},
  author={Tomohiro Yokoyama and Yuli V. Nazarov},
  journal={Physical Review B},
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 energy bands in $N - 1$ periodic solid owing to the $2\pi$ periodicity in all phases. We investigate the singularities and peculiarities of the resulting ABS spectrum combining phenomenological and analytical methods and illustrating with the numerical results. We pay special attention on spin-orbit… Expand

Figures from this paper

Josephson junctions of multiple superconducting wires
We study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrixExpand
Order, disorder, and tunable gaps in the spectrum of Andreev bound states in a multiterminal superconducting device
We consider the spectrum of Andreev bound states (ABSs) in an exemplary four-terminal superconducting structure where four chaotic cavities are connected by quantum point contacts to the terminalsExpand
Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
We study the evolution of averaged transconductances in three-terminal Josephson junctions when the superconducting leads are led throughout a topological phase transition from an $s$-wave to aExpand
Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions
We investigate the Andreev-bound-state (ABS) spectra of three-terminal Josephson junctions which consist of 1D topological superconductors (TSCs) harboring multiple zero-energy edge Majorana boundExpand
Topological transconductance quantization in a four-terminal Josephson junction
Recently we predicted that the Andreev bound-state spectrum of four-terminal Josephson junctions may possess topologically protected zero-energy Weyl singularities, which manifest themselves in aExpand
Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures
A generic semiclassical superconducting nanostructure connected to multiple superconducting terminals hosts a quasi-continuous spectrum of Andreev states. The spectrum is sensitive to theExpand
Majorana-Weyl crossings in topological multiterminal junctions
We analyze the Andreev spectrum in a four-terminal Josephson junction between one-dimensional topological superconductors in class D. We find that a topologically protected crossing in the space ofExpand
Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
We consider mesoscopic four-terminal Josephson junctions and study emergent topological properties of the Andreev subgap bands. We use symmetry-constrained analysis for Wigner-Dyson classes ofExpand
Conductance quantization in topological Josephson trijunctions
The Josephson current flowing in a junction between two superconductors is a striking manifestation of macroscopic quantum coherence, with applications in metrology and quantum information. ThisExpand
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 andExpand