According to various implementations of the invention, a vertical Josephson Junction device may be realized using molecular beam epitaxy (MBE) growth of YBCO and PBCO epitaxial layers in an a-axis crystal orientation. Various implementations of the invention provide improved vertical JJ devices using SiC or LSGO substrates; GaN, AlN, or MgO buffer layers; YBCO or LSGO template layers; YBCO conductive layers and various combinations of barrier layers that include PBCO, NBCO, and DBCO. Such JJ devices are simple to fabricate with wet and dry etching, and allow for superior current flow across the barrier layers.