Josephson junctions with negative second harmonic in the current-phase relation: properties of novel varphi-junctions

Abstract

Several recent experiments revealed a change of the sign of the first harmonic in the current-phase relation of Josephson junctions (JJ) based on novel superconductors, e.g., d-wave based or JJ with ferromagnetic barrier. In this situation the role of the second harmonic becomes dominant and it determines the scenario of a 0-pi transition. We discuss different mechanisms of the second harmonic generation and its sign. If the second harmonic is negative the 0-pi transition becomes continuous and the realization of the so-called varphi junction is possible. We study the unusual properties of such a novel JJ and analyze the possible experimental techniques for their observation.

submitted to PRB

References in corpus (16)

• Proximity effects in superconductor-ferromagnet heterostructures
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Oscillations of the superconducting critical current in Nb-Cu-Ni-Cu-Nb junctions
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• Degenerate ground state in a mesoscopic YBaCuO grain boundary Josephson junction
• Periodic alternating $0,\pi$-junction structures as realization of $\varphi$-Josephson junctions
• High quality ferromagnetic 0 and pi Josephson tunnel junctions
• Spontaneous supercurrent induced by ferromagnetic pi-junctions
• $\pi -0$ Transition in Superconductor-Ferromagnetic-Superconductor Junctions
• Peculiar properties of the Josephson junction at the transition from 0 to Pi state
• Phase-sensitive order parameter symmetry test experiments utilizing Nd2-xCexCuO4-y/Nb zigzag junctions
• Observation of the second harmonic in superconducting current-phase relation of Nb/Au/(001)YBa2Cu3Ox heterojunctions
• The 0 and the pi phase Josephson coupling through an insulating barrier with magnetic impurities
• Kinks in the Presence of Rapidly Varying Perturbations
• Shapiro steps in Josephson junctions with alternating critical current density
• Self-generated magnetic flux in YBa${}_2$Cu${}_3$O${}_{7-x}$ grain boundaries

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