@article{ISI:000433025900002, abstract = {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 matrix based formalism which allows us to address transport across such junctions. For N >= 3, it is well known that Berry curvature terms contribute to the Josephson currents; we chart out situations where such terms can have relatively large effects. For a system of three s-wave or three p-wave superconductors, we provide analytic expressions for the Andreev bound-state energies and study the Josephson currents in response to a constant voltage applied across one of the wires; we find that the integrated transconductance at zero temperature is quantized to integer multiples of 4e(2)/h, where e is the electron charge and h = 2 pi(h)over-bar is Planck's constant. For a sinusoidal current with frequency omega applied across one of the wires in the junction, we find that Shapiro plateaus appear in the time-averaged voltage < V-1 > across that wire for any rational fractional multiple (in contrast to only integer multiples in junctions of two wires) of 2e < V >/((h)over-bar omega). We also use our formalism to study junctions of two p-wave and one s-wave wires. We find that the corresponding Andreev bound-state energies depend on the spin of the Bogoliubov quasiparticles; this produces a net magnetic moment in such junctions. The time variation of these magnetic moments may be controlled by an external voltage applied across the junction. We discuss experiments which may test our theory.}, article-number = {174518}, author = {Deb, Oindrila and Sengupta, K. and Sen, Diptiman}, doi = {10.1103/PhysRevB.97.174518}, eissn = {2469-9969}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, month = {MAY 22}, number = {17}, researcherid-numbers = {Deb, Oindrila/AAV-6760-2020}, times-cited = {6}, title = {Josephson junctions of multiple superconducting wires}, unique-id = {ISI:000433025900002}, volume = {97}, year = {2018} }