Contractor renormalization group theory of the SU($N$) chains and ladders

Details Contractor renormalization group theory of the SU($N$) chains and ladders Contractor renormalization group theory of the SU($N$) chains and ladders

2004-12-14

arxiv.org/abs/cond-mat/0412358v2

Phys. Rev. B 71, 212401 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.212401

Contractor renormalization group (CORE) method is applied to the SU($N$) chain and ladders in this paper. In our designed schemes, we show that these two classes of systems can return to their original form of Hamiltonian after CORE transformation. Successive iteration of the transformation leads to a fixed point so that the ground state energy and the energy gap to the ground state can be deduced. The result of SU($N$) chain is compared with the one by Bethe ansatz method. The transformation on spin-1/2 ladders gives a finite gap in the excited energy spectra to the ground state in an intuitive way. The application to SU(3) ladders is also discussed.

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