  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.
