Physics – Condensed Matter
Scientific paper
1994-06-24
Phys. Rev. B 51 (1995), 1147
Physics
Condensed Matter
20 pages, figures on request, Revtex, version 2, Materials Science Center Internal Report Number VSGD.94.6.7
Scientific paper
10.1103/PhysRevB.51.1147
The equations of motion of pair-like excitations in the superconducting state are studied for various types of pairing using the random phase approximation. The collective modes are computed of a layered electron gas described by a $t-t'$ tight-binding band, where the electrons experience besides the long-range Coulomb repulsion an on-site Hubbard U repulsion and a nearest-neighbour attractive interaction. {}From numerical calculations we see, that the collective mode spectrum now becomes particularly rich. Several branches can occur below the continuum of quasi-particle excitations, corresponding to order-parameter fluctuations of various symmetries of pairing, and collective spin-density fluctuations. {}From the collective mode softening near the nesting vectors it is concluded, that in the d-wave paired state an instability occurs toward the formation of a spin-density wave.
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