Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel 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.

12 pages, 7 figures

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Cited by in corpus (10)

• Odd-frequency superconductivity
• Odd-frequency superconducting pairing in one-dimensional systems
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Interplay of finite-energy and finite-momentum superconducting pairing
• Odd-frequency pair density wave correlations in underdoped cuprates
• Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• $\eta$-pairing on bipartite and non-bipartite lattices