Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder

Details Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder

1998-01-28

arxiv.org/abs/cond-mat/9801285v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex, 35 pages with 15 figures

Scientific paper

10.1103/PhysRevB.58.1794

A perturbative renormalization group analysis of interacting electrons on a two-leg ladder reveals that at half-filling any weakly repulsive system scales onto an exactly soluble Gross-Neveu model with a hidden SO(8) symmetry. The half-filled ground state is a Mott insulator with short-range d-wave pair correlations. We extract the exact energies, degeneracies, and quantum numbers of *all* the low energy excited multiplets. One energy (mass) m octets contains Cooper pair, magnon, and density-wave excitations, two more octets contain single-particle excitations, and a mass \sqrt{3}m antisymmetric tensor contains 28 "bound states". Exact single-particle and spin gaps are found for the lightly-doped (d-wave paired one-dimension Bose fluid) system. We also determine the four other robust phases occuring at half-filling for partially attractive interactions. All 5 phases have distinct SO(8) symmetries, but share S.C. Zhang's SO(5) as a common subgroup.

Affiliated with

Also associated with

No associations

Rating

Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639272