Proximity phenomena and induced superconducting correlations in
heterostructures are shown to be strongly affected by the nonlocal nature of
the electronic attraction. The latter can trigger the formation of Cooper pairs
consisting of electrons localized in neighbouring layers even in the absence of
direct quasiparticle transfer between the layers. We investigate the
manifestations of such nonlocal pairing and resulting unconventional induced
superconductivity in an exemplary two-dimensional (2D) electronic system
coupled to a conventional superconductor. The interplay between the
quasiparticle tunneling and spin-triplet interlayer pairing is shown to
generate the odd-frequency superconducting correlations in the 2D material
which give rise to the paramagnetic contribution to the Meissner response and
affect the energy resolved quasiparticle density of states. Experimental
evidence for the above nonlocal interface pairing would provide new
perspectives in engineering the unconventional superconducting correlations in
heterostructures.Comment: 15 pages, 6 figure