2024/06/21 by Ipsita Mandal, Mandal, Ipsita · 1 citation
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con) #Surface and Thin Film Phenomena #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2406.15350
openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study superconductor-barrier-superconductor (S-B-S) Josephson junctions constructed out of two-dimensional and three-dimensional triple-point semimetals, which feature a threefold degeneracy at a single nodal point. We assume a weak and homogeneous s-wave pairing in each superconducting region, and a potential difference is applied across a piece of normal-state semimetal to create the barrier region. We compute the wavefunctions of the Andreev bound states (ABSs), considering the thin-barrier limit. The appropriate boundary conditions at the S-B and B-S junctions allow us to compute the discrete energy eigenvalues ± |ε| of the ABSs. We get two distinct solutions for |ε| . This result differs from that in graphene and Weyl semimetals, where one obtains only one solution for |ε| . The multifold nature of the triple-point fermions is responsible for this difference. We also illustrate the behaviour of the Josephson current flowing across the S-B-S junction.