Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multichannel Kondo chain

Abstract

Junction systems of odd-frequency (OF) superconductors are investigated based on a mean-field Hamiltonian formalism. One-dimensional two-channel Kondo lattice (TCKL) is taken as a concrete example of OF superconductors. Properties of normal and Andreev reflections are examined in a normal metal/superconductor junction. Unlike conventional superconductors, normal reflection is always present due to the normal self energy that necessarily appears in the present OF pairing state. The conductance reflects the difference between repulsive and attractive potentials located at the interface, which is in contrast with the preexisting superconducting junctions. Josephson junction is also constructed by connecting TCKL with the other types of superconductors. The results can be understood from symmetry of the induced Cooper pairs at the edge in the presence of spin/orbital symmetry breaking. It has also been demonstrated that the symmetry argument for Cooper pairs is useful in explaining Meissner response in bulk.

Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

“…One such possible Cooper pair is the so-called pair density wave (PDW), where the center-of-mass momentum is of the order of the Fermi momentum. [13,[21][22][23]. It is interesting to study the stability of a PDW in a quasi-one-dimensional system from this viewpoint.…”

Fermi-surface Anisotropy Effects on Full-gap Superconductivity in Non-Kramers Doublets Coupled to Compensated Metals

“…This is related to the fact that the Kondo effect renormalizes the f -electron interaction in the original Anderson lattice to zero (see, for example, Ref. [19]). We note that it cannot describe the non-Fermi liquid behaviors originating from the multichannel Kondo effect expected in the normal state above the transition temperature.…”

Composite electronic orders induced by orbital Kondo effect

“…(66) has the normal (diagonal) self-energy as the essential ingredient. 75 In addition, the anomalous Green function is not odd in frequency, although the anomalous self-energy that corresponds to the pairing potential is odd. The symmetry difference between the anomalous Green function and the anomalous self-energy has not been taken into account in the previous literature.…”