Renormalized SO(5) symmetry in ladders with next-nearest-neighbor hopping

Details Renormalized SO(5) symmetry in ladders with next-nearest-neighbor hopping Renormalized SO(5) symmetry in ladders with next-nearest-neighbor hopping

1997-12-12

arxiv.org/abs/cond-mat/9712143v3

Phys.Rev.Lett.82:2115,1999

Physics

Condensed Matter

Strongly Correlated Electrons

Final version: to appear in Phys. Rev. Lett., sched. Mar. 99

Scientific paper

10.1103/PhysRevLett.82.2115

We study the occurrence of SO(5) symmetry in the low-energy sector of two-chain Hubbard-like systems by analyzing the flow of the running couplings ($g$-ology) under renormalization group in the weak-interaction limit. It is shown that SO(5) is asymptotically restored for low energies for rather general parameters of the bare Hamiltonian. This holds also with inclusion of a next-nearest-neighbor hopping which explicitly breaks particle-hole symmetry provided one accounts for a different single-particle weight for the quasiparticles of the two bands of the system. The physical significance of this renormalized SO(5) symmetry is discussed.

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