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

Abstract

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.

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

References in corpus (4)

• Quantum data compression, quantum information generation, and the density-matrix renormalization group method
• Numerical Contractor Renormalization Method for Quantum Spin Models
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Two-dimensional gapless spin liquids in frustrated SU(N) quantum magnets

Cited by in corpus (2)

• Contractor-Renormalization approach to frustrated magnets in magnetic field
• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives