Physics – Condensed Matter – Superconductivity
Scientific paper
2000-09-06
J.Math.Phys.42:1533-1562,2001
Physics
Condensed Matter
Superconductivity
27 revtex pages, 2 figures, use of texdraw; minor changes in the bibliography and in Table III
Scientific paper
10.1063/1.1345871
A complete and rigorous determination of the possible ground states for D-wave pairing Bose condensates is presented, using a geometrical invariant theory approach to the problem. The order parameter is argued to be a vector, transforming according to a ten dimensional real representation of the group $G=${\bf O}$_3\otimes${\bf U}$_1\times <{\cal T}>$. We determine the equalities and inequalities defining the orbit space of this linear group and its symmetry strata, which are in a one-to-one correspondence with the possible distinct phases of the system. We find 15 allowed phases (besides the unbroken one), with different symmetries, that we thoroughly determine. The group-subgroup relations between bordering phases are pointed out. The perturbative sixth degree corrections to the minimum of a fourth degree polynomial $G$-invariant free energy, calculated by Mermin, are also determined.
Gufan Yu. M.
Popov Al. V.
Sartori Gabriele
Talamini Vittorino
Valente Gianpaolo
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