Sq. Shen et Xc. Xie, PSEUDOSPIN SU(2)-SYMMETRY BREAKING, CHARGE-DENSITY WAVES AND SUPERCONDUCTIVITY IN THE HUBBARD-MODEL, Journal of physics. Condensed matter, 8(26), 1996, pp. 4805-4812
In this paper, we discuss the physical consequences of pseudospin SU(2
)-symmetry breaking in a negative-U Hubbard model at half-filling. If
pseudospin symmetry is spontaneously broken while its unique subgroup
U(1) remains invariant, this will lead to a charge-density-wave (CDW)
ground state. Furthermore, if the U(1) symmetry is also broken, the gr
ound state will have off-diagonal long-range order, signalling a super
conductor. in this case, CDW and superconductivity coexist and form a
supersolid. Finally, we show that CDW suppress, but do not destroy sup
erconductivity.