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We study the k-dependence of the gap function of a bilayer superconductor,using standard mean-field techniques applied to a 2D extended Hubbard model, inthe presence of coherent interlayer pair-tunneling and quenched coherentsingle-particle tunneling. The intralayer pairing potential thus defined isexpandable in a finite number of basis functions for the irreduciblerepresentations of the point-group of the perfectly square lattice, C_{4v}.  This gives rise to a competition between s- and d-wave symmetry, as thechemical potential is increased from the bottom to the top of a realistic bandfor most cuprates. It allows for mixed-symmetry paired state at temperaturesbelow T_c, but never at T_c on a square lattice. Inclusion of the interlayerpair-tunneling into the effective pairing potential leads to highly non-trivialk-space structures, such as pronounced maxima along the Fermi line not seen inthe absence of interlayer pair-tunneling.  We show how such a gap structure evolves with temperature and with bandfilling, and how it affects various observables. In particular, a nonuniversalvalue of the normalized jump in the specific heat at T_c will be evidenced, atvariance with the conventional universal BCS result.Comment: 17 REVTeX pages, including 6 PostScript figures; accepted for  publication in Phys. Rev.

physical review. b, condensed matter

Sharp<b><i>k</i></b>-space features in the order parameter within the interlayer pair-tunneling mechanism of high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductivity

Sharpk-space features in the order parameter within the interlayer pair-tunneling mechanism of high-Tcsuperconductivity